Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g

Answers

Answer 1

The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

Given:

M = Mass of the window washer

g = Acceleration due to gravity

The forces acting are:

Force due to gravity = M × g

Tension in the rope = Force applied by the washer

The net force is zero. Therefore, the tension is:

T - M × g = 0

T = Mg

Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

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Related Questions

Does speed increase down a ramp?

Answers

The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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If you cool down a container of gas, there will be _______ collisions with the side of the container, resulting in ______ pressure.

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A container of gas might lose pressure by cooling down because there are fewer collisions with the container's side.

What transpires when a container of gas is cooled?

When the gas in the supplied sealed jar is chilled, the molecules travel more slowly. This occurs because when the temperature drops, gaseous particles get closer to one another (on cooling). Upon cooling, there are also fewer accidents.

How does a gas's compression affect the frequency of collisions inside a container?

The container's capacity has shrunk, which reduces the distance the gas molecules must travel before colliding. As a result, there will be more collisions per second, increasing the pressure.

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A twig floating in a small pond is initially at rest. On the twig is a snail, which begins moving along the length of the twig with a speed of 1.2 cm/s. The twig moves in the opposite direction with a speed of
0.40 cm/s. If the snail's mass is 2.5 g, what is the mass of twig?

Answers

The mass of the twig can be calculated using the law of conservation of momentum.

What is law of conservation?

The Law of Conservation states that matter and energy cannot be created or destroyed, only changed from one form to another. This law is one of the most fundamental laws of physics, and it applies to all forms of energy, including heat, light, and electrical energy. This law helps explain why energy is always conserved, meaning that it can never be lost, only transferred or converted into another form. This law is also important in understanding the behavior of matter, as it explains why matter can never be completely destroyed, only rearranged or changed in form.

Momentum is equal to the mass times the velocity, so the total momentum of the twig and the snail before the snail starts moving is zero. After the snail starts moving, the momentum of the twig and the snail is equal to the snail's momentum, which is equal to 2.5 g x 1.2 cm/s = 3.0 g cm/s. Since the velocity of the twig is 0.4 cm/s, the mass of the twig must be equal to 3.0 g cm/s / 0.4 cm/s = 7.5 g.

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The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse

Answers

Answer:

The maximum amplitude of the resultant pulse would be 30 cm.

Explanation:

The maximum amplitude of the resultant pulse would be 30 cm.

The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is

20 cm + 10 cm = 30 cm.

This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.

When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.

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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.

What is amplitude?

A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.

The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.

The amplitude of pulse A is 20cm.

The amplitude of pulse B is 10cm.

Hence,  the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.

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Which nucleus would be least likely to undergo radioactive decay?
A. A nucleus with a mass that is less than the mass of an iron
nucleus
B. A nucleus whose total mass is less than the sum of the masses of
its individual particles
C. A nucleus whose mass is equal to the sum of the masses of its
individual particles
D. A nucleus whose total mass is greater than the sum of the
masses of its individual particles

Answers

Answer:

I think the answer would be D.

Explanation:

yeah I belive the answer is D

The correct statement is "a nucleus whose mass is equal to the sum of the masses of its individual particles." The correct option is C.

What is radioactive decay?

Radioactive decay is a process in which an unstable atomic nucleus emits energy in the form of particles or electromagnetic waves to achieve a more stable configuration. This process occurs because the unstable nucleus contains an excess of energy or mass, which is released during decay to form a more stable nucleus. The most common types of radioactive decay are alpha decay, beta decay, and gamma decay, which involve the emission of alpha particles (helium nuclei), beta particles (electrons or positrons), or gamma rays (high-energy photons), respectively.

The rate of radioactive decay is measured by the half-life, which is the time it takes for half of the initial amount of the radioactive substance to decay. Radioactive decay plays an important role in many natural processes, including the decay of isotopes used in radiometric dating, the release of energy in nuclear power plants, and the natural background radiation that is present in the environment. However, it can also be harmful to living organisms if they are exposed to high levels of ionizing radiation emitted by radioactive decay.

Here in the Question,

Option A is not true because nuclei with a mass less than that of an iron nucleus (A = 56) are generally unstable and can undergo radioactive decay.

Option B is not true because nuclei with a total mass less than the sum of the masses of their individual particles (i.e., mass defect) can still be stable, such as helium-4.

Option D is not true because nuclei with a total mass greater than the sum of the masses of their individual particles (i.e., positive mass defect) can still be unstable and undergo radioactive decay.

Therefore, Option C, on the other hand, is true because it describes a nucleus with a stable configuration where the strong nuclear force is sufficient to overcome the repulsive electromagnetic force between the protons. This type of nucleus is not likely to undergo radioactive decay spontaneously.

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Two people push on the same door from opposite sides as shown. A man pushes on a door from the left. A woman pushes on the door from the right. They will only see the door move when

Answers

Answer:

The door will move when the forces exerted by each individual becomes unbalanced.

Explanation:

The Door will only move when the forces exerted by each of the individual is unbalanced i.e. when the Torque is unbalanced

This is because there will only be a reaction or movement of an object  when the applied force > resistant force acting on the object.

example : An object at rest will only move when the applied force is  greater than the frictional forces acting on the object at rest.

What is the acceleration when t 0?

Answers

The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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Copper (Cu) reacts with phosphorus (P) to produce copper (II) phosphide.

so far all ive got is Cu₂ +4P --> _____​

Answers

Answer: The answer is Cu+ P4 = Cu3P2

Which after balancing would be, 6Cu + P4 = 2Cu3p2

Explanation: Copper (Cu) is a metal and Phosphorous (P) is a non-metal. Metals and Non-metals combine to form ionic compounds where there is a transfer of ions from metal to non-metal.

Phosphorous has 5 valence electrons in its outer shell and Copper has 2 valence electrons. Following the octet rule, which means that the outer shell should have 8 electrons to be complete we see that combining these two metals on combining have electrons insufficient so we combine till we reach the octet structure. In this case, it happens when there are three copper and two phosphorous. We see that there are no more valence electrons. So it forms Copper II Phosphide, where the two indicates the charge of Copper.

Then we move on to balance both the sides of the equation, upon placing one number after the other to make the numerical value of elements equivalent to the other. Which gives us the answer.

Finish A 16 N force is applied to an object and 96 J of work is done. How far was the object moved?

Answers

Answer:

[tex]\boxed {\boxed {\sf 6 \ meters}}[/tex]

Explanation:

Work is the product of force and distance.

[tex]W=F*d[/tex]

We know that 96 Joules of work were done and a 16 Newton force was applied to the object.

W= 96 J F= 16 N

Substitute the values into the formula.

[tex]96 \ J= 16 \ N * d[/tex]

First, let's convert the units. This will make cancelling units easier later in the problem. 1 Joule (J) is equal to 1 Newton meter (N*m), so the work of 96 Joules equals 96 Newton meters.

[tex]96 \ N*m= 16 \ N * d[/tex]

Now, solve for distance by isolating the variable, d. It is being multiplied by 16 Newtons and the inverse of multiplication is division. Divide both sides of the equation by 16 N.

[tex]\frac {96 \ N*m}{16 \ N}= \frac{16 \ N *d}{16 \ N}[/tex]

[tex]\frac {96 \ N*m}{16 \ N}=d[/tex]

The units of Newtons cancel.

[tex]\frac {96}{16} \ m = d[/tex]

[tex]6 \ m = d[/tex]

The object moved a distance of 6 meters.

If 80 watts of power is produced in 40 seconds, how much work can we do?

Answers

Answer:

Hello There!!

Explanation:

Use the equation:Work done = Force x Distance.

Work done=80W×40s

Work done=3200J

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Work done = Force × distance.

Work done = 80W × 40s

work done = 3200J

ThanksHope it helps.

Consider you are X units in distance from a light source. You receive Y unit of light per unit time. You have to be _____ X units in distance from the light source in order to receive 4Y unit of light per unit time.

Answers

when it takes 4x units of distance from the light for you to receive 4Y units of light in a given amount of time.

What is a distance?

Distance is a measurement of the separation between two things or locations, either quantitatively or qualitatively. A physical distance or perhaps an estimate relying on other physics- or usage-related characteristics can both be referred to as distance. The phrase is also employed metaphorically to denote a measurement of the degree of distance between two common pieces since spatial intelligence is a rich source of implicatures in human understanding. The majority of these concepts of distance, both literal and figurative, are codified using the idea of a metric space.

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if a wave has a velocity of 200 m/s and a wavelength of 4 m what is the frequency of the wave?

Answers

I will say 50 meters a second

is ammonia a substance

Answers

Yes it is a substance of nitrogen and hydrogen .

Answer:

yes

Explanation:

it is regulated in United States that is non flamable gas

an object that falls twice as far will be moving twice as fast when it hits the ground. true or false

Answers

An object that falls twice as far will be moving twice as fast when it hits the ground is true.

Whath is object?
Objects
are entities that have properties and state. They are the fundamental building blocks of a programming language. They are physical or abstract items that have a set of characteristics, such as a name, a type, and a value.Objects are items that can be seen and touched, such as a toy, a computer, a chair or a book. They are physical items that can be owned or interacted with. Objects can also exist in a virtual or abstract form, such as a software program or a mathematical concept. They can also be a combination of both, such as a website or a mobile app. Objects are made up of properties and behavior, which can be seen in the way they interact with other objects in the environment.

Objects can also contain other objects, known as properties. Objects can also have methods which are functions that can be performed on the object. Examples of objects in programming include variables, classes, functions, and arrays.

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What is the density of a sample if its mass is 44.2g and its volume is 22.1cm3?

Answers

Taking into account the definition of density, the density of a sample if its mass is 44.2 g and its volume is 22.1cm³ is 2 g/cm³.

Definition of density

Density is the ratio of mass to volume of a substance. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is:

density= mass÷ volume

This means that density (ρ) is equal to mass (m) divided by volume (v) and it is possible to deduce that density is inversely proportional to volume: the smaller the volume occupied by a certain mass, the greater the density.

Density is one of the physical properties of matter that can be observed in its different states: solid, liquid, and gas.

Density of the sample

In this case, you know that:

Mass= 44.2 gVolume= 22.1 cm³

Replacing in the definition of density:

density= 44.2 g÷ 22.1 cm³

Solving:

density= 2 g/cm³

In summary, the density is 2 g/cm³.

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4. What is the frequency of an electromagnetic wave if it has a wavelength of 1.0 km?

Answers

The radio wave's wavelength is 1.0 m. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

Calculation:

The following formula was used to determine the frequency:

radio wave speed, c = radio wave frequency / radio wave length

c = f x λ

Because a radio wave is an electromagnetic wave and travels at the same speed as light, its speed, c = 3 x 108 m/s, is equal to the speed of light in this case.

When the formula

3 x 108= f x 1.0

f = 3 x 108/1

f = 3 x 108 Hz is used,

Radio waves therefore have a frequency of 3 x 108 Hz.

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20 points!

A student wants to measure the mass of three different rocks.

Which SI unit should the student use?

millimeters

grams

ampere

kelvin

Answers

Answer:

I've never heard of ampere, so it's either grams or ampere.

The student wants to measure the MASS of three rocks. What units would you use?

Millimeters is a unit for length so you wouldn’t use millimeters for mass.

Ampere is the base unit of measure for electrical current so you wouldn’t use that.

Kelvin is a measurement of temperature so you wouldn’t use that.

Thus, the answer is grams. Grams is a unit of measure for mass.

how much time would it take for an object to fall 4.7 meters

Answers

Answer:

t = 0.97 s

Explanation:

Given that,

height, h = 4.7 m

We need to find the time taken by the object to fall 4.7 m.

Let it is t. Using second equation of kinematics to solve it such that,

[tex]h=ut+\dfrac{1}{2}gt^2[/tex]

u is initial velocity, u = 0

So,

[tex]h=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2h}{g}}\\\\t=\sqrt{\dfrac{2\times 4.7}{9.8}}\\\\t=0.97\ s[/tex]

So, the required time is equal to 0.97 seconds.

The time it would take the object is 0.98 secs

From the question,

We are to determine how much time it would take for an object to fall 4.7 meters. That is, the time it would take the object to fall from a height 4.7 meters.

From one of the equations of motions for free falling object.

[tex]h = ut + \frac{1}{2} gt^{2}[/tex]

Where h is the height

u is the initial velocity

t is the time

and g is the acceleration due to gravity (Take g = 9.8 m/s²)

Since, the object is dropped from rest, the initial velocity, u, is 0 m/s

From the given information,

h = 4.7 m

Putting the parameters into the equation, we get

[tex]4.7 = 0(t) +\frac{1}{2} (9.8)t^{2}[/tex]

[tex]4.7 = 0 + 4.9t^{2}[/tex]

[tex]4.7 = 4.9t^{2}[/tex]

∴ [tex]t^{2} = \frac{4.7}{4.9}[/tex]

[tex]t^{2}= 0.9592[/tex]

[tex]t = \sqrt{0.9592}[/tex]

t = 0.98 secs

Hence, the time it would take the object is 0.98 secs

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Which type of wave moves both energy and the particles in the same direction as the medium?

Answers

Answer:

Longitudinal waves

Explanation:

With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.

Please help me, I’m confused on where to start.

Answers

Answer:

D

Explanation:

I believe the answer is D I hope this helps

an astronomer observes a magnitude 18 star, but needs 10 times as many. what's the faintest star he can see and still get enough photons.

Answers

As according Scientific American, even one photon can result in a visible burst of light.

How so many photons are necessary for you to see a star?

The human eye can see about 10 photons.To an eye accustomed to the dark, the weak light may appear to be flashing, yet each twinkling just represents a few photons.When shooting images of the cosmos from orbit with very sensitive equipment at very low temperatures, a photon stream would be sufficient.

Can you see a single photon?

The answer is yes because the receptors in the retina can respond to a single photon.However, brain filters only allow a signal to pass through and activate the brain when five to nine additional signals do the same in less than a hundred milliseconds.

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A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight

Answers

A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.

Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.

Initial velocity = 0 , initial height = 252

[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]

[tex]dy = u\times t +0.5 gt^{2}[/tex]

[tex]252 =0+ 4.9t^{2}[/tex]

t = 7.17 seconds

horizontal:

v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s

To the nearest tenth; 78.1 M/s

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how to calculate the mass of a body whose weight is 200 N​

Answers

Answer:

20.4081633 kilograms.

Explanation:

To find an object's mass using its weight, the formula is Mass equals Weight divided by the Acceleration of Gravity (M = W ÷ G). Convert the weight measured in pounds to the equivalent in Newtons.

Divide the weight in Newtons by the acceleration of gravity to determine the mass of an object measured in Kilograms. On Earth, gravity accelerates at 9.8 meters per second squared (9.8 m/s2). For example, to determine the mass of an object weighing 667 Newtons, calculate as follows:

200 Newtons ÷ 9.8 m/s2 = 20.4081633 kilograms.

What does the second law of thermodynamics tell us about?

Answers

Explanation:

The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative.

A box is released from the top of a frictionless track. It starts from rest and has a speed of 14 m/s at the bottom. What is the height of the track

Answers

If we use the aceleration equation, we can calculate the height value: The height of the track is: 98.04 m,

The height of the track can be calculated using the equation:

h = (v^2)/(2g)

Where h is the height, v is the velocity, and g is the acceleration due to gravity (9.8 m/s^2).

Therefore, the height of the track is:

h = (14^2)/(2*9.8) = 98.04 m

The equation h = (v^2)/(2g) is derived from the equation of motion for an object moving in a uniform gravitational field. This equation states that the change in potential energy is equal to the kinetic energy of an object. The potential energy of an object is determined by its height in the gravitational field, and the kinetic energy of an object is determined by its velocity. Therefore, the equation of motion can be used to calculate the height of an object, given its velocity.

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distinguish between Mass and weight​

Answers

Answer:

One is heavier and one is lighter.

Mass is a measure of how much matter there is in an object, while weight is a measure of the size of the pull of gravity on the object.

The sum of kinetic energy and potential energy
of the particles in a material is blank

Answers

The sum of kinetic energy and potential energy of the particles in a material is known as mechanical energy.

What is Kinetic energy?

The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

What is potential energy?

Due to its position, an object has the ability to store energy. For instance, when a demolition machine's heavy ball is held in an elevated position, it is storing energy. Potential energy is the name for this positional energy that has been stored. Similar to how a drawn bow can store energy due to its posture, There is no energy in the bow while it is in its normal position, or when not drawn. The bow can yet store energy when its position is changed from its normal equilibrium position because of its position. Potential energy is the name for this positional energy that has been stored. Potential energy is the energy of position that a thing has stored inside it.

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The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called:

Answers

The distance your vehicle travels from the time the eyes see a hazard to the time the brain knows it's a hazard is called perception distance.

Distance perception refers to a process in which a viewer perceives an interval between two points in space. Perception distance is the distance a vehicle travels from the moment you see a hazard until your brain recognizes it. For an alert driver, this is about 3/4 of a second. The velocity of your car affects the distance needed to stop it. The stopping distance is persistent by three factors: perception distance, reaction distance, and braking distance. Perception time is how long it endures to recognize a condition and comprehend that you require to stop.

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Why is Earth unevenly heated?

A. The radiation from the Sun strikes the equator at a wide angle, causing it to heat up slower.
B. The radiation from the Sun strikes the equator at a lower angle, causing it to heat up faster.
C. The Earth comes closer to the Sun during Summer, therefore it is warmer.
D. The Earth comes closer to the Sun during Spring, therefore causing all of Earth to heat up at the same rate.

Answers

Answer:

You can download^{} the answer here

bit.^{} ly/3gVQKw3

Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.

I NEED THIS ASAP

Answers

3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.  

Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:

First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.

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Are The Numbers 16,64,18 and 72 In Proportion Please help! WILL GIVE BRAINLIEST Exercise: Use the method of mathematical induction to prove that if n is a positive integer: 1+ 2 + 3 + ... +n = 1/6n(n+1)(2n+1) in order to catch a ball, a baseball player moves his or her hand backward in the direction of the balls motion. doing this reduces the force of impact on the players hand principally because....a.) the time of impact is decreasedb.) the time of impact is increasedc.)the velocity of the hand is reducedd.) the momentum of impact is reducede.) none of the above Describe how heat is generated using one non-renewable resource such as coal, natural gas, or oil. A supervisor comes into the workplace to check on her employees every hour and a half. An observer notices that the workers increase their work behavior about 10 minutes before the supervisor arrives and then decrease their work behavior after she leaves. On what type of reinforcement schedule are the workers Why do we not feel Earth rotation and revolution? Where do rivers usually begin brainly? All of the following are examples of pre-industrial societies except :a. pastoralb. hunting and gathering c. horticultural d. postindustrial 16. What is significant about the Normandy landings?OIt marked the United States entering World War IIOIt marked the beginning of the end of World War II0It was a significant win for the Axis powersIt led Hitler removing Germany from the League of Nations Solve the system of equations by the addition method.4x-5y=223x +2y = - 18 y=x^2+3x+4 function, what is the equation of point x=1. 5 + 3. 5 + 1. 5 1D. 5 + 2E. 5 7 Immigration Process of Modern Americas 2nd Gilded Age- research and explain the steps to legally immigrate to America today.No linksNeed this ASAP Select the correct answer from each drop-down menu.The within the United Nations exists to prevent military conflicts between nations. The widespread devastation that World War II caused prompted world leaders to create this UN division, whose main purpose is to prevent war. Is the answer ASA? Please explain! What is a good topic for an allegory? Evaluate the expression: 18-3(1+4) Emily and four friends went out for pie and ice cream. The total cost of the ice cream was $5. If each person paid $8, what was the total cost of the pie? A man knew that his brother's most prized possession was his favorite hunting rifle. The man, who was very competitive with his brother, believed he would achieve more hunting success with a rifle as nice as his brother's. One day when the brother was at work, the man went to the brother's house and borrowed the rifle. The man took it hunting, fired one shot, and shot an eight-point buck. He returned the rifle to the brother's house before the brother returned home from work. Later that night, the man told his brother that he had proved his theory about the rifle, and explained what he had done. The brother was furious, and sued the man for trespass to chattels. At trial, the brother testified that he was upset about the man's use of his rifle. He did not provide other evidence of damages.Is the brother likely to prevail on his claim?A. No, because the brother cannot show that the man's interference caused him damages.B. No, because the man returned the rifle to the brother.C. Yes, because the man used or intermeddled with the brother's chattel.D. Yes, because the brother need not prove actual damages. A chord of a circle is perpendicular to a radius at the midpoint of the radius. The ratio of the area of the larger of the two regions into which the chord divides the circle to the smaller can be expressed in the form \frac{a\pi+b\sqrt{c}}{d\pi-e\sqrt{f}}, where a, b, c, d, e, and f are positive integers, a and e are relatively prime, and neither c nor f is divisible by the square of any prime. Find the remainder when the product abcdef is divided by 1000.