if a dung beetle can roll (without slipping) a ball of dung whose radius is 2.5 cm at a linear speed if 3.5 m/s, through what angle does the ball roll as the ball moves a distance of 15 cm?

Answers

Answer 1

If a dung beetle can roll (without slipping) a ball of dung whose radius is 2.5 cm at a linear speed if 3.5 m/s, the angle through which the ball rolls as the ball moves a distance of 15 cm is approximately 343.8 degrees.

Assuming that the ball of dung rolls without slipping, the distance traveled by any point on the circumference of the ball is given by the circumference of the circle it traces. The circumference of the ball can be calculated as follows:

C = 2πr

C = 2π(2.5 cm)

C = 15.7 cm

The distance traveled by the ball is given as 15 cm. Therefore, the number of revolutions made by the ball can be calculated as follows:

Number of revolutions = Distance traveled by ball / Circumference of ball Number of revolutions

Number of revolutions = 15 cm / 15.7 cm

Number of revolutions = 0.955

Since the ball completes less than one full revolution, the angle through which it rolls can be calculated as follows:

Angle = Number of revolutions x 360 degrees

Angle = 0.955 x 360 degrees

Angle = 343.8 degrees (rounded to one decimal place)

Therefore, the ball of dung rolls through an angle of approximately 343.8 degrees as it moves a distance of 15 cm.

For more such questions on linear speed, click on:

https://brainly.com/question/20709784

#SPJ11


Related Questions

in the circuit shown below, all the capacitors are air-filled. with the switch s open. the 40 uf capactior has an intial charge of 5 uc while the other three capactiors are uncharged. the switch is then closed and left closed for a long time. calculate the inital and final values of the total electrical energy stored in these capactiors

Answers

Thus, the initial and final values of electrical energy  stored in the capacitors are 0.3125J and 0.3124J.

given,

the initial charge of the given capacitor is Qo = 5.00C

The capacitance  of the given capacitor is Co = 40.0F

therefore,

capacitors 10μF and 15μF are connected in a series format.

then equivalent capacitance is

[tex]\frac{1}{c}[/tex] = 1/10μf + 1/15μF

=> 3μF + 2μF/ 30μF

C = 6μF

therefore,

the equivalent capacitor is in parallel combination concerning capacitor 14μF.

Equivalent capacitance = C' = 14μF + 6μF

C' = 20μF × 10⁻⁶ F/1μF

C' = 20 × 10⁻⁶ F

then, the obtained equivalent capacitance is in parallel formation with the unlabeled capacitor.

C" = (20 ×10⁻⁶ F)² +40.0 F

C" = 40.0002 F

hence, the initial energy stored in the capacitor is

Ui = [tex]\frac{qo^{2} }{2Co}[/tex]

Ui = (5.00C)²/ 2× (40.0F)

Ui = 0.3125 J

the final energy in the capacitor is

Uf = [tex]\frac{q^{2} }{2C"}[/tex]

Uf = (5.00 C )²/ 2 × (40.00002 F)

Uf = 0.3124 J

Thus, the initial and final values of electrical energy  stored in the capacitors are 0.3125J and 0.3124J.

To learn more about Capacitors,

https://brainly.com/question/21851402

#SPJ4

a square object of mass m is constructed of four identical uniform thin sticks, each of length l, attached together. this object is hung on a hook at its upper corner (fig. p14.73). if it is rotated slightly to the left and then released, at what frequency will it swing back and forth?

Answers

The square object's swinging motion can be represented by a simple pendulum. The object's center of mass lies at the intersection of its diagonals, and its moment of inertia may be computed as I = (1/12)ml2.

The frequency of the object's oscillation may be computed using the small angle approximation as f = (1/2) (mgl/I), where g is the acceleration due to gravity. The length of the pendulum is equal to the distance from the center of mass to the point of attachment, which may be computed as l/22. We get f = (1/2) (4g/l) by substituting the moment of inertia and the length into the frequency equation.  a result, the frequency of  oscillation of the square object is independent of its mass and is only determined by the length of its sides and the acceleration due to gravity. The frequency of oscillation is approximately 0.83 Hz for a square object with sides of length l.

learn more about  mass  here:

https://brainly.com/question/19694949

#SPJ4

although the use of absorbance values near 470 nm provided you with maximum sensitivity, the absorbance values at 400 or 500 nm are not zero and could have been used throughout this experiment. would you get the same value of k if you had used a wavelength other than the one you used? explain. you would get the same value of k or at least something close to it. this is because we are looking for a difference in absorbance and this difference should be visible at all wavelengths.

Answers

While using absorbance values at wavelengths other than the optimal wavelength could still result in a value of k that is close to the optimal value, it is important to consider the potential limitations and uncertainties associated with using different wavelengths.

Wavelengths refer to the distance between successive peaks or troughs of a wave. They are a fundamental concept in physics and are commonly used to describe various types of waves, including electromagnetic waves, sound waves, and water waves.

Electromagnetic waves, such as light, radio waves, and X-rays, have different wavelengths that determine their properties and behavior. For example, visible light has a range of wavelengths that correspond to different colors, with longer wavelengths appearing as red and shorter wavelengths appearing as violet. In sound waves, wavelength is related to the frequency of the wave, which determines the pitch of the sound. Higher frequencies correspond to shorter wavelengths and higher-pitched sounds, while lower frequencies correspond to longer wavelengths and lower-pitched sounds.

To learn more about Wavelengths visit here:

brainly.com/question/13533093

#SPJ4

part 1: earth, moon, and sun relationships it takes approximately four weeks (one month) for the moon to travel around earth. below is a diagram showing the earth, sun, and moon as viewed from the north pole. the diagram is not to scale. moon sun earth 1. draw an arrow on earth to show earth's rotation. how long does this take? 2. draw an arrow on the moon showing the direction of the moon's motion around earth. how long does this take?

Answers

Earth rotates from west to east, taking 24 hours.The Moon orbits Earth from west to east, taking one month.

The pivot of the Earth is liable for the pattern of constantly. The Earth pivots from west to east, which is the reason the Sun seems to ascend in the east and set in the west. It takes the Earth around 24 hours, or at some point, to finish one revolution. The hub of pivot is shifted at a point of roughly 23.5 degrees comparative with the plane of the World's circle around the Sun.

This slant is answerable for the changing seasons on the planet.The Moon's movement around the Earth is known as its orbital movement. The Moon circles the Earth in a counterclockwise course when seen from the North Pole. The time it takes for the Moon to finish one circle around the Earth is known as the lunar month or synodic month.

This requires around 29.5 days, or one month. The Moon's circle is definitely not an ideal circle but instead an oval, and that implies that its separation from the Earth changes during its circle. The nearest point of the Moon's circle is known as the perigee, while the farthest point is known as the apogee. Whenever the Moon is at its nearest highlight Earth, it seems bigger and more splendid, and this is known as a supermoon.

To learn more about earth, moon, and sun, refer:

https://brainly.com/question/10982872

#SPJ4

a capacitor is constructed of two identical conducting plates parallel to each other and separated by a distance d. the capacitor is charged to a potential difference of v0 by a battery, which is then disconnected. a sheet of insulating plastic material is inserted between the plates without otherwise disturbing the system. what effect does this have on the capacitance?

Answers

"A capacitor is constructed of two identical conducting plates parallel to each other and separated by a distance d. The capacitor is charged to a potential difference of v₀ by a battery, which is then disconnected. a sheet of insulating plastic material is inserted between the plates without otherwise disturbing the system. It causes the capacitance to increase."

A device for holding separated charge is a capacitor.

Until the voltage created by the charge buildup is equivalent to the battery voltage, a battery will transfer charge from one plate to the other.

If the battery is disconnected, Q remains constant. The capacitance rises if a dielectric is placed in between the plates.

This can be said because of the equation, Q = C V

where, Q is charge in coulombs

V is voltage

C is capacitance

Thus, the capacitance increases.

To know more about capacitor:

https://brainly.com/question/13480989

#SPJ4

Ling heard on the news that a high-pressure system is moving into her area. What weather conditions should she expect?
Group of answer choices

clear skies

fog

thunder clouds

sleet

Answers

High-pressure systems usually cause clear skies with light winds. The pressure system causes a winds to blow lightly in a clockwise rotation, drying out the air and dissipating the moisture.

what approximate power must the glasses have underwater to allow you to see distant objects without a mask?

Answers

Approximate power  required for the glasses underwater to allow distant object visibility without a mask is -2.5 diopters.

A scuba diving mask is an important component of a scuba diving kit since it covers the eyes and nose while under the water. The mask has an air pocket inside that permits you to focus on objects underwater without experiencing a change in the size of the image or refraction.A snorkel mask is worn during snorkeling, whereas a scuba mask is worn during diving. Because of the difference in pressure between the atmosphere and the underwater environment, the mask must be manufactured in such a way that it can withstand the weight of the water. It is advisable to ensure that the mask is snug and that water does not seep in when it is worn.How much power must the glasses have underwater to allow distant object visibility without a mask?The approximate power that the glasses must have underwater to allow for distant object visibility without a mask is -2.5 diopters. A scuba diving mask aids in providing the right refraction and a focused view of objects underwater. The glasses, on the other hand, must compensate for the change in the focal length that occurs when light passes from one medium to another (in this case, water to air). The refractive index of the glasses compensates for the shift, allowing for clear and focussed visibility of distant objects. The -2.5 diopters power of the glasses is necessary to provide the best underwater sight.

Learn more about diving mask here:

https://brainly.com/question/30908085

#SPJ4

a heat engine that propels a ship produces 540 btu/lbm of work while rejecting 300 btu/lbm of heat. what is its thermal efficiency?

Answers

The thermal efficiency of the heat engine propelling the ship is approximately 64.29%. This means that about 64.29% of the heat input is converted into useful work to propel the ship, while the remaining 35.71% is rejected as waste heat.

The thermal efficiency of a heat engine is a measure of how effectively it converts heat energy into mechanical work. In the given student question, a ship's heat engine produces 540 BTU/lbm of work and rejects 300 BTU/lbm of heat.

To calculate the thermal efficiency, we need to know the total heat input, which is the sum of work output and heat rejected.

Total heat input = Work output + Heat rejected
Total heat input = 540 BTU/lbm + 300 BTU/lbm
Total heat input = 840 BTU/lbm

Thermal efficiency is the ratio of work output to total heat input, expressed as a percentage:

Thermal efficiency = (Work output / Total heat input) × 100
Thermal efficiency = (540 BTU/lbm / 840 BTU/lbm) × 100
Thermal efficiency ≈ 64.29%

For more such questions on thermal efficiency, click on:

https://brainly.com/question/3276817

#SPJ11

when the palmaris longus muscle in the forearm is flexed, the wrist moves back and forth. if the muscle generates a force of 51.5 n and it is acting with an effective lever arm of 2.65 cm , what is the torque that the muscle produces on the wrist?

Answers

The torque that the muscle produces on the wrist is 1.36575 Nm.

When the Palmaris longus muscle in the forearm is flexed, the wrist moves back and forth. If the muscle generates a force of 51.5 N and it is acting with an effective lever arm of 2.65 cm, the torque that the muscle produces on the wrist can be calculated as follows;

Step-by-step explanation:

The formula for torque is:

T = F × r

Where;

T is torque

F is force

R is the length of the lever arm

To calculate torque:

Torque (T) = Force (F) × length of lever arm (r)

So, substituting the given values, we have;

Torque (T) = 51.5 N × 0.0265 m = 1.36575 Nm

Therefore, the torque that the muscle produces on the wrist is 1.36575 Nm.

To know more about Torque, refer here:

https://brainly.com/question/28220969#

#SPJ11

work of 4 joules is done in stretching a spring from its natural length to 14 cm beyond its natural length. what is the force (in newtons) that holds the spring stretched at the same distance (14 cm)?

Answers

The force that holds the spring stretched at a distance of 14 cm is 2 N. The potential energy stored in the spring is defined by the amount of work done on the spring when it is stretched.

the work done is 4 J. If the spring has been stretched to a distance of 14 cm beyond its natural length, the elongation (stretch) produced is given by; x = 14 cm = 0.14 m The work done to stretch the spring is given by. Work done = (1/2) kx²Since the work done is 4 J, we have;(1/2) kx² = 4J Here, k is the spring constant which we have not been given. We will use the formula below to solve for k;k = (2W)/x² = (2(4 J))/(0.14 m)² = 102.04 N/mThe force that holds the spring stretched at a distance of 14 cm is given by. F = k x = (102.04 N/m)(0.14 m) = 14.29 N ≈ 2 N (to 1 decimal place) To find the force (in Newtons) that holds the spring stretched at a distance of 14 cm, we can use the formula for work done: Work = Force × Distance. In this case, Work = 4 Joules, and Distance = 0.14 meters (converted from 14 cm). Rearranging the formula, we get Force = Work / Distance. Force = 4 Joules / 0.14 meters = 28.57 Newtons.

Learn more about Joules here:

https://brainly.com/question/18596314

#SPJ11

a coiled telephone cord forms a spiral with 74.0 turns, a diameter of 1.30 cm, and an unstretched length of 45.0 cm. determine the inductance of one conductor in the unstretched cord.

Answers

The inductance of one conductor in the unstretched cord is 1.28 x 10^-7 H.

When a coiled telephone cord forms a spiral with 74.0 turns, a diameter of 1.30 cm, and an unstretched length of 45.0 cm, we need to determine the inductance of one conductor in the unstretched cord.

Diameter (d) = 1.30 cm

Radius (r) = d/2 = 0.65 cm = 0.0065 m

Length (l) = 45.0 cm = 0.45 m

From the formula for the area of a circle;

A = πr²A = π(0.0065 m)² = 1.327 x 10^-4 m²

To determine the inductance of one conductor in an unstretched cord, we need to use the formula for inductance of a solenoid that is given;

L = [μN²A]/l

where;

L = inductance of the solenoid

N = number of turns of the coil = 74.0 turns

A = area of the coil in m²

μ = permeability of free space

l = length of the coil

L = [μN²A]/lL = [4π x 10^-7 (74.0)^2 (1.327 x 10^-4)]/0.45L = 1.28 x 10^-7 H

Therefore, the inductance of one conductor in the unstretched cord is 1.28 x 10^-7 H.

To know more about inductance click here:

https://brainly.com/question/29981117

#SPJ11

a 0.40-kg mass attached to a spring is pulled back horizontally across a table so that the potential energy of the system is increased from zero to 155 j. ignoring friction, what is the kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 j?

Answers

The kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 J is 85 J.

The total mechanical energy of the system (spring and mass) is conserved, and is equal to the sum of the potential energy and kinetic energy:

E = PE + KE

At the initial point, the potential energy of the system is 155 J, and the kinetic energy is zero:

Ei = PEi + KEi = 155 J + 0 J = 155 J

At the final point, the potential energy of the system is 70 J, and the kinetic energy is unknown:

Ef = PEf + KEf = 70 J + KEf

Since the total mechanical energy is conserved, we can equate Ei to Ef:

Ei = Ef

155 J = 70 J + KEf

KEf = 155 J - 70 J

KEf = 85 J

Therefore, the kinetic energy of the system after the mass is released and has moved to a point where the potential energy has decreased to 70 J is 85 J.

For such more question on kinetic energy:

https://brainly.com/question/8101588

#SPJ11

a roller-coaster car has a potential energy of 750 kj and a kinetic energy of 165 kj at point a in its travel. at the low point of the ride, the potential energy is zero, and 60 kj of heat has been generated by friction since it left point a. what is the kinetic energy of the roller coaster at this low point?

Answers

The kinetic energy of the roller coaster at the low point can be calculated using the conservation of energy principle.

The total energy at point A is equal to the sum of its kinetic and potential energies. At the low point, all the potential energy has been converted into kinetic energy. But, some energy has been lost due to friction, which is given as 60 kJ. Therefore, the kinetic energy at the low point can be calculated as follows: Initial energy at point A = Potential energy + Kinetic energy= 750 kJ + 165 kJ = 915 kJFinal energy at the low point = Kinetic energy = Potential energy at the low point= 0 kJUsing the conservation of energy principle, we have: Initial energy = Final energy + Energy lost in frictionOr915 kJ = Kinetic energy at the low point + 60 kJ Kinetic energy at the low point = 915 kJ - 60 kJ Kinetic energy at the low point = 855 kJTherefore, the kinetic energy of the roller coaster at the low point is 855 kJ.

Learn more about friction here:

https://brainly.com/question/13000653

#SPJ4

the reason a 4-cylinder reciprocating engine continues to run after the ignition switch is positioned to off may be a

Answers

There could be several reasons why a 4-cylinder reciprocating engine continues to run after the ignition switch is turned off. One possible explanation is that the engine is experiencing a phenomenon known as engine run-on, also referred to as dieseling.

Engine run-on occurs when the engine continues to run even after the ignition system has been turned off. This can happen if the engine is still generating enough heat to ignite the fuel-air mixture in the combustion chamber. This can be caused by several factors such as high engine temperature, carbon buildup in the combustion chamber, or low-quality fuel.

Another possible cause could be a faulty ignition switch or wiring. If the ignition switch or wiring is damaged or malfunctioning, it may fail to cut off the electrical power to the engine, allowing it to continue running even after the switch has been turned off.

It is important to diagnose and fix the problem as soon as possible as engine run-on can cause damage to the engine and other components. A qualified mechanic should be consulted to properly diagnose and repair the issue.

To learn more about reciprocating engines

https://brainly.com/question/18833025

#SPJ4

consider a two-dimensional spring model of a solid like the one shown below. the left picture represents the solid in its normal, relaxed state. the right picture represents what the links between particles look like when the left side of the solid is uniformly compressed. what kind of wave would this compression produce in the solid?

Answers

The left picture represents the solid in its normal, relaxed state. The right picture represents what the links between particles look like when the left side of the solid is uniformly compressed.

A two-dimensional spring model of a solid consists of particles linked together by springs arranged in a two-dimensional pattern. When the left side of the solid is uniformly compressed, the links between the particles on the left side of the solid become shorter. This results in an increase in the spring forces that act on the particles on the left side of the solid.

These forces cause the particles on the left side of the solid to accelerate toward the right side of the solid, while the particles on the right side of the solid remain stationary. This results in the formation of a compression wave that travels from left to right through the solid. The compression wave is a longitudinal wave, which means that the motion of the particles in the solid is in the same direction as the direction of propagation of the wave.

To learn more about Picture :

https://brainly.com/question/29211371

#SPJ11

a device is defined as a unit of an electrical system, other than a conductor, that carries or ? electric energy as its principal function.

Answers

A device is defined as a unit of an electrical system, other than a conductor, that carries or transfers electric energy as its principal function.

 In electrical engineering, a device refers to a component or unit within an electrical system that performs a specific function.

Devices can be classified based on their function, behavior, or physical characteristics. This definition can be applied to a variety of devices commonly used in electrical systems such as transformers, generators, motors, switches, and more. These devices are designed to convert and transfer electrical energy in various ways to power different systems and devices.

For more such questions on conductor, click on:

https://brainly.com/question/492289

#SPJ11

a thin, uniform rod of length l and mass m is rotated around an axis l/4 from one end and perpendicular to its length. what is its moment of inertia for this axis?

Answers

The moment of inertia of a thin, uniform rod for an axis l/4 from one end and perpendicular to its length is (1/16) * m * l^2.

To find the snapshot of idleness of the slight, uniform pole for a hub found l/4 from one end and opposite to its length, we can utilize the equal pivot hypothesis. This hypothesis expresses that the snapshot of inactivity of an unbending body for any pivot lined up with a given hub through the focal point of mass is equivalent to the snapshot of latency for the given hub in addition to the result of the mass of the item and the square of the distance between the two tomahawks.

In the first place, we want to track down the snapshot of idleness of the pole for a pivot through its focal point of mass and opposite to its length. This can be determined involving the equation for the snapshot of idleness of a uniform bar around its focal point of mass, which is (1/12) * m * [tex]l^2[/tex].

Then, we really want to find the distance between the focal point of mass and the new pivot found l/4 from one end. Since the bar is of uniform thickness, the focal point of mass is situated at the midpoint of the bar, or l/2 from one or the flip side. Subsequently, the distance between the focal point of mass and the new hub is l/4.

At long last, we can utilize the equal pivot hypothesis to track down the snapshot of inactivity for the new hub. Utilizing the recipe I = I_cm + [tex]m*d^2[/tex], where I_cm is the snapshot of latency for the focal point of mass pivot, m is the mass of the bar, and d is the distance between the two tomahawks, we have:

[tex]I = (1/12) * m * l^2 + m * (l/4)^2= (1/12) * m * l^2 + (1/16) * m * l^2= (4/48 + 3/48) * m * l^2= (1/16) * m * l^2[/tex]

Hence, the snapshot of dormancy of the dainty, uniform pole for the pivot found l/4 from one end and opposite to its length is [tex](1/16) * m * l^2[/tex].

To learn more about moment of inertia, refer:

https://brainly.com/question/14284456

#SPJ4

a base jumper (60 kg k g ) jumps off a cliff from an initial height of 1000 meters. they open their parachute at a height of 400 meters. what is their change in gravitational potential energy between these points?

Answers

The change in gravitational potential energy of the base jumper between the initial height of 1000 meters and the height of 400 meters when they opened their parachute is -353160 J.

The change in gravitational potential energy of the base jumper can be calculated using the formula:

ΔPE = mgh

where ΔPE is the change in gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the change in height.

At the initial height of 1000 meters, the gravitational potential energy of the base jumper is:

PEi = mgh = (60 kg)(9.81 m/s^2)(1000 m) = 588600 J

At a height of 400 meters, the gravitational potential energy of the base jumper is:

PEf = mgh = (60 kg)(9.81 m/s^2)(400 m) = 235440 J

The change in gravitational potential energy between these points is:

ΔPE = PEf - PEi = 235440 J - 588600 J = -353160 J

The negative sign indicates that the gravitational potential energy of the base jumper decreased as they fell.

For such more question on gravitational:

https://brainly.com/question/72250

#SPJ11

a certain string that is 1.0 m long vibrates with a standing wave that has a wavelength of 2.0 m. how many nodes and antinodes will appear on the vibrating string?

Answers

When answering questions on the Brainly platform, it is important to always be factually accurate, professional, and friendly. Answers should be concise and avoid providing extraneous amounts of detail. Typos and irrelevant parts of the question should be ignored.Here is the answer to the given question:Given,Length of vibrating string, L = 1.0 mWavelength of the standing wave, λ = 2.0 mTo find, Number of nodes and antinodesLet us first recall some important points regarding the standing wave on the vibrating string:The standing wave on a vibrating string is formed due to the interference of the waves that travel in both directions.A standing wave is formed when the wavelength of the wave is such that it produces a fixed point of no motion known as the node and the maximum point of motion known as the antinode.The distance between two consecutive nodes or two consecutive antinodes is half the wavelength of the standing wave.So, the distance between two consecutive nodes, d = λ/2Number of nodes, N = (L/d) + 1Number of antinodes, A = (L/d) - 1Substituting the given values in the above formulas, we get,d = λ/2 = 2/2 = 1 mN = (L/d) + 1 = (1/1) + 1 = 2A = (L/d) - 1 = (1/1) - 1 = 0Therefore, the number of nodes on the vibrating string is 2 and the number of antinodes is 0.Answer: The vibrating string has 2 nodes and 0 antinodes. In this situation, the string is vibrating with a half-wavelength. There will be 2 nodes (one at each end) and 1 antinode in the middle of the string.

two 90-kg men are seated in the 400-kg boat a. using a 30-m rope, the man in the stern slowly pulls another 400-kg boat b toward himself. find the distance moved by boat a when the two boats are about to touch. neglect water resistance.

Answers

The distance moved by boat A when the two boats are about to touch is 10 meters.

To solve this problem, we can use the principle of conservation of momentum. Initially, the total momentum of the system is zero, since the boats are at rest. When the man in boat A pulls boat B towards himself, he imparts a forward momentum to boat B. By the principle of conservation of momentum, an equal and opposite momentum is imparted to boat A.

We can use the equation:

m1v1 + m2v2 = (m1 + m2)v'

where m1 and v1 are the mass and velocity of boat A initially, m2 and v2 are the mass and velocity of boat B initially, and v' is the final velocity of both boats when they are about to touch.

Plugging in the given values, we get:

(400 kg)(0 m/s) + (400 kg)(0 m/s) = (400 kg + 400 kg)v'

v' = 0 m/s

This tells us that the final velocity of both boats is zero. We also know that the man in boat A pulls boat B a distance of 30 meters. Therefore, boat A must have moved a distance of 10 meters (30 meters / 3) when the two boats are about to touch.

To know more about the Boats, here

https://brainly.com/question/14961734

#SPJ4

a baseball weighs 5.13 oz. what is the kinetic energy in j of this baseball when it is thrown by a major-league pitcher at 95.0 mph

Answers

The kinetic energy of the baseball when thrown by a major-league pitcher at 95.0 mph is approximately 136.22 Joules.

The kinetic energy (KE) of an object can be calculated using the formula KE = 0.5 * m * v^2, where m is the mass in kilograms, and v is the velocity in meters per second.

First, we need to convert the mass from ounces to kilograms and the velocity from miles per hour to meters per second.

1 oz = 0.0283495 kg

5.13 oz * 0.0283495 = 0.14515 kg

1 mph = 0.44704 m/s

95.0 mph * 0.44704 = 42.4698 m/s

Now, we can calculate the kinetic energy:

KE = 0.5 * 0.14515 kg * (42.4698 m/s)^2

KE ≈ 136.22 Joules

For more such questions on kinetic energy, click on:

https://brainly.com/question/29763149

#SPJ11

the process of freezing will: group of answer choices consume latent heat and cools down the environmental air. release latent heat and warms up the environment air. consume latent heat and warms up the environment air. release latent heat and cools down the environmental air.

Answers

Latent heat will be consumed during the cooling process, warming the surrounding air. A material turns from a liquid to a solid by releasing heat into the environment when it freezes.

The process of freezing requires the removal of latent heat from a substance to change its state from a liquid to a solid. This means that freezing consumes latent heat from the substance itself, causing it to cool down. However, since the process also requires the substance to release this heat to the surrounding environment, the environment air is warmed up instead of being cooled down. This warming effect is due to the fact that the heat energy released during the freezing process is transferred from the substance to the surrounding air. Therefore, although the substance being frozen may become colder, the surrounding air becomes warmer, and this can have significant effects on the environment, especially in areas where freezing occurs frequently or over extended periods of time.

Learn more about environmental air here:

https://brainly.com/question/30774791

#SPJ4

for a frequency of light that has a stopping potential of 3 volts, what is the maximum kinetic energy

Answers

The maximum kinetic energy for a frequency of light that has a stopping potential of 3 volts is 4.8 x 10^-19 joules.

The stopping potential of a photoelectric experiment is the minimum potential difference required to stop the emission of electrons from a metal surface when light is incident on it.

The maximum kinetic energy (KE) of an electron emitted by a light with a stopping potential (V) can be found using the formula:

KE = e * V

where e is the charge of an electron, which is approximately 1.6 x 10^-19 coulombs.

Given that the stopping potential is 3 volts, we can find the maximum kinetic energy as follows:

KE = (1.6 x 10^-19 C) * 3 V

KE = 4.8 x 10^-19 J

So, the maximum kinetic energy is 4.8 x 10^-19 joules.

For more such questions on kinetic energy, click on:

https://brainly.com/question/25959744

#SPJ11

a block of mass 2 kg slides down an inclined plane. the block starts at a vertical height of 3 meter above the bottom of the incline, with a speed of 5 m/s and reaches bottom with 7 m/s how much energy is lost due to friction??

Answers

Answer:

To solve this problem, we need to use the conservation of energy principle. The potential energy of the block at the top of the incline is converted into kinetic energy as it slides down the incline. However, some of this energy is lost due to friction between the block and the incline. Let's start by calculating the potential energy of the block at the top of the incline:

Potential energy at the top = mgh

where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the incline.

Potential energy at the top = 2 kg * 9.81 m/s^2 * 3 mPotential energy at the top = 58.86 J

Next, we can calculate the kinetic energy of the block at the bottom of the incline:

Kinetic energy at the bottom = (1/2) * m * v^2

where m is the mass of the block and v is its velocity at the bottom of the incline.

Kinetic energy at the bottom = (1/2) * 2 kg * (7 m/s)^2Kinetic energy at the bottom = 49 J

The energy lost due to friction is simply the difference between the potential energy at the top and the kinetic energy at the bottom:

Energy lost due to friction = Potential energy at the top - Kinetic energy at the bottom
Energy lost due to friction = 58.86 J - 49 J
Energy lost due to friction = 9.86 JTherefore, the energy lost due to friction is 9.86 J.

when all the individual components losses are calculated for a 2 kw pv system using no storage (batteries), the system's final output should be roughly what percentage of the sum of the rated power of the panels? select one: a. 60 to 65 percent b. 70 to 80 percent c. 85 to 88 percent d. 88 to 92 percent

Answers

The sum of these losses can typically result in the system's final output being around 85 to 88 percent of the sum of the rated power of the panels. Therefore, option C. 85 to 88 percent is the correct answer.

When calculating the overall efficiency or final output of a photovoltaic (PV) system without storage (batteries), the system's output will typically be around 85 to 88 percent of the sum of the rated power of the panels. This is due to various losses that occur in a PV system, including but not limited to:

Conversion losses: These occur during the conversion of solar energy into electricity by the PV panels. Typically, PV panels have an efficiency rating that indicates the percentage of solar energy they can convert into electricity.Wiring losses: These losses occur in the wiring and interconnections between the PV panels, inverters, and other system components. Resistance in the wires can result in energy losses in the form of heat.Inverter losses: Inverters are used to convert the DC (direct current) electricity produced by the PV panels into AC (alternating current) electricity that can be used in the electrical grid or by appliances. Inverters also have efficiency ratings, and their efficiency can impact the overall output of the system.Shading losses: Shading from trees, buildings, or other obstructions can reduce the amount of sunlight that reaches the PV panels, resulting in reduced output.Temperature losses: Higher temperatures can reduce the efficiency of PV panels, resulting in lower electricity production.

Learn more about photovoltaic (PV) system

brainly.com/question/30632856

#SPJ4

an aluminum plate 0.5 cm thick is to withstand a force of 49,700 n with no permanent deformation. if the aluminum has a yield strength of 125 mpa, what is the minimum width of the plate (in cm)?

Answers

Considering the stress, the minimum width of the aluminum plate required to withstand a force of 49,700 N with no permanent deformation is 795.2 cm.

Stress, which is defined as force per unit area, may be used to indicate the aluminum's yield strength. As a result, we can determine the stress that corresponds to the aluminum's yield strength using the formula below:

Stress = yield strength equals 125 MPa or 125 N/cm2.

The aluminum plate's stress cannot be greater than its yield strength to prevent irreversible deformation of the material.

The force applied to the plate's surface may be related to its area using the stress formula:

Stress = force/area

area = 49,700 N / 125 N/cm² = 397.6 cm²

The area of the plate is the product of its width and thickness. Let's assume that the plate has a rectangular shape and solve for the minimum width required to achieve the required area:

area = width x thickness

width = area / thickness

         = 397.6 cm² / 0.5 cm

         = 795.2 cm

Therefore, the minimum width of the aluminum plate required to withstand a force of 49,700 N with no permanent deformation is 795.2 cm.

To learn more about stress, refer to:

https://brainly.com/question/26108464

#SPJ4

when an object 1.15 cm tall is placed 12 cm from a lens, the lens produces an upright image of the object that is 5.75 cm tall. what is the focal length of the lens? question 6 options: 24 cm 18 cm 60 cm 15 cm 9.0 cm

Answers

The focal length of the lens is 15 cm. The correct option is C).

Using the thin lens equation

1/f = 1/d_o + 1/d_i

where f is the focal length of the lens, d_o is the object distance, and d_i is the image distance.

We are given that the object height, h_o, is 1.15 cm, the image height, h_i, is 5.75 cm, and the object distance, d_o, is 12 cm. Since the image is upright, the magnification, M, is positive:

M = h_i / h_o = 5.75 / 1.15 = 5

We can use the magnification equation to find the image distance

M = - d_i / d_o

d_i = - M * d_o = -5 * 12 cm = -60 cm

The negative sign indicates that the image is virtual, which means it is on the same side of the lens as the object.

Now we can use the thin lens equation to solve for the focal length:

1/f = 1/d_o + 1/d_i = 1/12 cm - 1/60 cm = 1/15 cm

f = 15 cm

Therefore, the focal length is 15 cm. The correct Answer is option C).

To know more about focal length:

https://brainly.com/question/29870264

#SPJ4

what size tank would be needed to contain this same amount of helium at atmospheric pressure (1 atm )?

Answers

When 20.6 g of helium is present in a container at a pressure of 5.6 atm and a temperature of 18°C, The size of the tank that would be needed to contain the same amount of helium at atmospheric pressure (1 atm) is 0.294 L.

The ideal gas law, PV = nRT, relates the pressure, volume, amount of substance, and temperature of a gas. Where:V: volume, P: pressure, n: number of moles of gas, R: the gas constant, T: temperature

The ideal gas law, PV = nRT, can be rearranged to find the volume of a gas given its pressure, number of moles, and temperature as shown below:

V = nRT/P

In this problem, we are required to find the size of a tank required to hold a specified number of moles of helium gas under different conditions (1 atm, 18°C) from the conditions under which the helium is presently stored (5.6 atm, 18°C).

As a result, the number of moles of helium in the container at 5.6 atm and 18°C must first be determined.

employing  the ideal gas law:

PV = nRT

n = PV/RT

n = (5.6 atm)(0.015 m³)/(0.08206 L·atm/mol·K)(291.15 K)

n = 0.01237 mol

We'll now use the number of moles determined above to calculate the size of the tank required at a pressure of 1 atm and 18°C using the ideal gas law.

V = nRT/P

V = (0.01237 mol)(0.08206 L·atm/mol·K)(291.15 K)/1 atm

V = 0.294 L

Therefore, the size of the tank required at 1 atm and 18°C is 0.294 L.

For more such questions on  atmospheric pressure, click on:

https://brainly.com/question/20726014

#SPJ11

The probable question may be:

When 20.6 g of helium is present in a container at a pressure of 5.6 atm and a temperature of 18°C, what size tank would be needed to contain this same amount of helium at atmospheric pressure (1 atm )?

the surface of the earth consists of several rigid layers called , which move in response to forces acting deep within the planet.

Answers

Answer:

The surface of the earth consists of several rigid layers called tectonic plates, which move in response to forces acting deep within the planet.

The surface of the earth consists of several rigid layers called tectonic plates, which move in response to forces acting deep within the planet.

What are tectonic plates?

Tectonic plates are the rigid and solid blocks that make up the Earth's lithosphere, which is composed of the Earth's crust and the uppermost portion of the mantle. They are typically between 30 and 60 miles thick and fit together like a jigsaw puzzle covering the surface of the Earth.The Earth's lithosphere is made up of tectonic plates that move. These plates float on the Earth's molten mantle, which is heated by the Earth's internal heat. The mantle, which is comprised of molten magma, creates thermal convection currents that move the tectonic plates.What causes the movement of tectonic plates?The tectonic plates move as a result of convection currents in the Earth's mantle. These convection currents are created by heat generated by the decay of radioactive isotopes in the mantle. The hot material in the mantle rises, cools, and then sinks back down, causing tectonic plates to move in a process known as plate tectonics.The movement of these plates causes geological activity such as earthquakes, volcanoes, and the creation of mountain ranges. Plate tectonics also plays a crucial role in the development of life on Earth, as it is responsible for the recycling of nutrients and the formation of new land masses.

To know more about tectonic plates click here:

brainly.com/question/19317822

#SPJ11

if a warm air mass is located in the southwest united states and a cold air mass is located in the southeast united states, from which direction will the winds blow? responses

Answers

If a warm air mass is located in the southwest united states and a cold air mass is located in the southeast united states, from west to east direction will the winds blow.

The prevailing westerlies blow from west to east, meaning that if a warm air mass is located in the southwest United States and a cold air mass is located in the southeast United States, the winds will blow eastward.

Therefore, from the east, the winds will blow. The winds will blow from the direction in which the pressure gradient force directs them.

The pressure gradient force is perpendicular to the isobars and directed from higher to lower pressure.

Wind is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as a result of the Coriolis force, which is a consequence of the Earth's rotation.

The prevailing westerlies are winds that blow west to east between 30° and 60° latitude in both hemispheres.

For similar question on air mass

https://brainly.com/question/19626802

#SPJ11

Other Questions
if you have 100 g of naoh and 100 g of al to perform the reaction, how many grams of h2 will you produce? Geometry kites homework The world experienced multiple revolutions between the end of the Renaissance and the beginning of the 20th century. These revolutions in science, industry, and politics forever changed the world and brought upon the modern era.The printing press revolutionized communication. What effect do you think the abilityto mass-produce an image had on the art world?* How do you think periods of war or political revolution change the way people create and understand art?What ideas or images come to mind when you think of the terms "modern" or "modern?"Write in paragraph pls What are the carbohydrates that give positive result with Seliwanoff ? why? Consider the titration of 100.0 mL of 0.100 M H2NNH2 (Kb = 0.000003) by 0.200 M HNO3. Calculate the pH of the resulting solution after the following volumes of HNO3 have been added.a. 0.0 mLpH =b. 20.0 mLpH =c. 25.0 mLpH =d. 40.0 mLpH =e. 50.0 mLpH =f. 100.0 mLpH = the ending retained earnings balance of juan's mexican restaurant chain increased by $6.4 million from the beginning of the year. the company declared a dividend of $1.4 million during the year. what was the amount of net income during the year? multiple choice $1.4 million $6.4 million $5.0 million $7.8 million Help please!!! Due in a little. Thanks sm "Within the body section of the file, enter the text Government Sites on the Web. Mark that text as an h1 heading." This is part of the instructions for a Web Design class assignment. I thought it was as simple as opening and closing the h1 and putting the text in there but apparently not. I just need to know what I'm doing wrong and what the right answer is. Find an angle in each quadrant with a common reference angle with 332 as a result of cirrhosis, the cirrhotic liver is not capable of inactivating estrogen; thus the male develops feminizing effects that include: group of answer choices spider angiomas. gynecomastia. testicular atrophy. all of the above. Define and provide real world example for each of the following terms: a. The scarcity principle. b. Rational person c. Economic surplus d. Marginal benefit following an endoscopy, a 66-year-old man has been diagnosed with a duodenal ulcer resulting from helicobacter pylori infection. which medications will likely to treat the patient's h. pylori infection? (select all that apply.) Which of the following did notexist at the time of the KoreanWar from 1950-1953?A. North KoreaB. a unified KoreaC. South Korea Based on the excerpt of the Berlin Wall Speech, explain how audience affects the way Ronald Reagan presents his ideas. PART A: In paragraph 10, what does the word "intelligentsia" mean?O A. a group of highly educated and highly skilled workersOB. a group of powerful Communist politiciansO C. a secret police force that identified people who were against the East Germany rulersO D. a new political and cultural party that stood against the GDR Consider four investments with otherwise equivalent characteristics. An owner of Investment A is allowed to expense the entire purchase price immediately for tax purposes. An owner of Investment B depreciates the purchase price of the investment over time but at a rate thataccelerates the expensing relative to the true economic depreciation. An owner of Investment C depreciates the investment at a rate that matches the true economic depreciation. An owner of Investment D depreciates the investment ata rate that is slower than the true economic depreciation. The pre-tax rate of return on the cash flows is 12%. What can be said about the after-tax rates of return for each investment for a taxpayer in an income tax bracket of 25%? a study published in the harvard business review in january 2000 found that intellectual property represents approximately of an average firm's value. group of answer choices 40 percent 50 percent 60 percent 70 percent in the world's lowest-income nations, one in ten children born dies by the age of select one: a. one. b. five. c. thirty-five. d. seventy. Finish the sentence. Cold air molecules heat up when they touch the warm ground through the process of ______________.DensityRadiationConductionEvaporation 3. to continue using oil at the current rate, some analysts warn that we must discover and add to global oil reserves the equivalent of two new saudi arabian supplies every 10 years. do you think this is possible? if not, what effects might the failure to find such supplies have on your life and on the lives of any children and grandchildren that you might have?