Answer:
The speed the car must travel to experience no friction is approximately 16.9 m/s
Explanation:
The car and road data are;
The mass of the car, m = 1,200 kg
The radius of the road, r = 80 meters
Given that the angled at which the road is banked, θ = 20°
The friction between the tires and the road, at the required speed, [tex]\mu_s[/tex] = 0, No friction
We have;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{\left( sin \, \theta + \mu_s \cdot cos \, \theta \right)}{\left( cos\, \theta + \mu_s \cdot sin\, \theta \right)}[/tex]
Where [tex]\mu_s[/tex] = 0, we get;
[tex]\dfrac{v^2}{r \cdot g} = \dfrac{ sin}{ cos} = tan \, \theta[/tex]
∴ v² = r·g·tan(θ)
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
v = The speed at which the car travels
∴ v² = 80 m × 9.81 m/s² × tan(20°) = 285.64384 m²/s²
v = √(285.64384 m²/s²) ≈ 16.9 m/s
The speed with which the car must travel to experience no friction, v ≈ 16.9 m/s
An object of mass M moves in one dimension along the x-axis. A conservative force F(x) is exerted on the object. The potential energy U(x) associated with this force as a function of position x is shown in graph 1. A student used the potential energy graph to construct the graph of F(x) as a function of x shown in graph 2. Are these graphs consistent with one another, and if not, what is the error?
These graphs do not consistent with one another because one is graph of potential energy U(x) vs distance(x) and two is graph of force (F(x)) vs distance(x).
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:
U(x) = ∫ F(x)dx.
Hence, U(x) ≠ F(x)
That's why, these graphs do not consistent with one another.
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What is the velocity of a rocket that goes 700 km north in 25 seconds, and then travels another 700km south in 25seconds?
The rocket's velocity that goes 700 km north in 25 seconds, then travels another 700km south in 25 seconds is 28,000 m/s.
Given,
Distance = 700km, which is 700 * 103m, and Time = 25 seconds.Velocity is known to be equal to displacement times time.Rocket's velocity is 700*103/25, or 28*103 m/s.As a result, the speed is 28,000 m/s.The orbital velocity, which is 7.9 km/s and more than 20 times the speed of sound, is measured in this manner.V equals u ln (m I m). The rocket equation is the name of this outcome. Konstantin Tsiolkovsky, a Soviet physicist, developed it first in 1897. It provides us with the change in velocity that the rocket experiences as a result of burning a mass of fuel that reduces the total mass of the rocket from m0 to m.To know more about Velocity here
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A 50 kg person and a 70 kg person are sitting on a bench close to each other about .5 m apart.
Estimate the magnitude of the gravitational force each exerts on the other.
Answer:
1.0 x 10-6 N.
Explanation:
The gravitational force
Fg = G m1 m2 / r2 = (6.673 x 10-11) (50 kg) (75 kg) / (0.50 m)2 = 1.0 x 10-6 N.
A toy elevator is raised from the ground floor to the second floor in 20 seconds. The power needed using 1000 J of work, is
A toy elevator is raised from the ground floor to the second floor in 20 seconds. The power needed using 1000 J of work, is 50 W, the calculation is like 1000J of work / 20 seconds = 50W.
Power is measured in Watts (W) which is a unit of energy per time. This means that when you divide the total energy (1000J) by time (20 seconds) it will give you the power (50W). In other words, power is the rate at which energy is expended over a given period of time. The higher the power, the faster the elevator will go. In this case, 1000J of work divided by 20 seconds gives you a power of 50W, which is enough to move the elevator from the ground floor to the second floor in 20 seconds.
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Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
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a boy pushes forward a cart of groceries with the total mass of 45kg. What is the acceleration of the cart if the net force on the cart is
If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .
How do you calculate mass given acceleration and force?The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.
It is show that,
Mass of cart, m = 45 kg
Net force acting on cart, F = 66 N
Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:
F = ma
a = F/m
a = 66 N/45 Kg
a = 1.46 m/[tex]s^{2}[/tex]
So, the acceleration of cart is = 1.46 m/[tex]s^{2}[/tex] .
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he cars mass was only 111 kg. Suppose two of these cars are used in a stunt crash for an action film. If one car's initial velocity is 9.00 m/s to the right and the other car's velocity is 5.00 m/s to the left, how much kinetic energy is discinated in the crash
In the crash 5883 Joule kinetic energy is discinated when two of these cars are used in a stunt crash for an action film.
How do you use start kinetic energy to calculate end kinetic energy?Final kinetic energy (KE) is equal to 1/2 m1v'12 + 1/2 m2v'22 , or joules. The end kinetic energy for common things will be lower than the starting point. The only way you can increase kinetic energy is if the impact causes an energy release of some type.
How can total kinetic energy be calculated?As a result, the kinetic energy equation states that it is equal to 1/2 the object's mass times the magnitude of its velocity squared, or speed squared.
Initial kinetic energy KE,
[tex]KE=1/2 m_1v_1^2 + 1/2 m_2v_2^2[/tex]
[tex]KE=1/2 (111)(9.00)^2 + 1/2 (111)(5.00)^2[/tex]
[tex]KE= 4495.5+1387.5[/tex]
[tex]KE= 5883J[/tex]
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15. A uniform beam AB of length 100m and weight 20N rests on a supports P and Q placed 20m from each end of the beam. Weights of 50N and 5N are placed at A and B respectively. Calculate the reaction at P and Q.
PLS I BEG SHARP RESPONSE
Answer:
Peter and John is a plate of rice together peterhead 2/5 of the quantity of rice white drone x 1/3 who ate more food than the other
which effect proves more conclusively that an object is charged, attraction to or rep;usion from antoher object
According to Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
What is Coulomb's Law?
Coulomb's Law is a fundamental principle in physics that describes the interaction between electrically charged objects. It states that the force of attraction or repulsion between two charged objects is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Attraction or repulsion between two objects is one way to determine if an object is charged. The presence of an electric charge on an object can be determined by observing whether it experiences a force of attraction or repulsion when brought near another charged object.
Attraction or repulsion between two charged objects is a fundamental effect of electric charges. Opposite charges will experience a force of attraction towards each other, while like charges will experience a force of repulsion away from each other. This is known as Coulomb's Law.
Therefore, as per Coulomb's Law the observation of repulsion between two objects provides more conclusive evidence that an object is charged, as opposed to attraction.
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When the velocity arrow and the acceleration arrow both point in the same direction, the velocity of the object is decreasing.
It is a False statement, because the acceleration arrow points forward, but the velocity arrow is reversed.
What is meant by acceleration?
Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not travelling straight ahead, it is said to be accelerating.In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. Vector quantities include accelerations.An object's acceleration is oriented according to the direction of the net force acting on it. the degree to which an object accelerates, as stated by Newton's Second Law.When a vehicle accelerates in its present direction of motion, this is referred to as linear acceleration (or tangential acceleration in circular motions), and the reaction felt by the passengers is a force that pulls them back into their seats.To learn more about acceleration refer to
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Is it possible to whirl a bucket of water fast enough in a vertical circle so the water won't fall out if so, what is the minimun speed
Yes, it is possible to whirl a bucket of water fast enough in a vertical circle so the water won't fall out.
The minimum speed required to do this is known as the “Centrifugal Force Limit” and is calculated based on the size and shape of the bucket and the weight of the water. Generally, a speed of at least 20-30 revolutions per minute is required to keep the water from spilling out.
F = (m * v^2) / r
Where:
F = centrifugal force (N) m = mass of water (kg) v = linear velocity (m/s) r = radius of the circle (m)Learn more about speed:
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The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right)
The magnitude of the ratio of charges q1 to q2 is 23:12.
Electric field lines help us to visualize electric fields. There are two charges in the figure represented by colors red on the left and blue on the right. The red is charge q1 and and blue is charge q2. The number of electric field lines that are emerging from charge q1 and q2 are proportional to their respective charges.
The electric field lines emerging from q1 charge in red are 23 while the electric field lines emerging from the q2 charge in blue are 12. Therefore, the ratio of magnitude of their charges will be
⇒ q1/q2 = 23/12
Therefore, the magnitude of the ratio of q1 to q2 is 23:12.
--The question is incomplete, the complete question is
"The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right), calculate the magnitude of their ratio."--
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What is the hypothesis of thermal energy transfer?
The heat transfer theory attempts to anticipate the energy transfer that may occur between material bodies as a result of temperature differential. Conduction, convection, and radiation are the three processes through which heat may be moved from one location to another.
Heat transfer is a thermal engineering subject that deals with the creation, consumption, conversion, and exchange of thermal energy (heat) across physical systems.
Heat transmission techniques include thermal conduction, thermal convection, thermal radiation, and energy transfer via phase shifts. To achieve heat transfer, engineers also address the transfer of mass of different chemical species (mass transfer in the form of advection), either cold or hot. While these processes have separate properties, they frequently occur in the same system at the same time.
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is often caused by improper loading, not only in terms of the load impedance itself, but in terms of how much capacitive or inductive reactance is part of that impedance.
Resistance and impedance (in AC circuits) are one such pair of synonyms (DC circuits). Technically speaking, they both stand in the way of current flow, but factor ability of impedance also takes resistance into account.
Obviously all, reactance and inductance are also included in this (capacitors).
Impedance, which results from the interaction of reactance and ohmic resistance, is the active resistance to AC of an electric circuit or component. We also describe it as any restriction of an electric current's ability to move energy when voltage is applied.
The more precise meaning is the overall resistance a circuit of electricity provides to an AC current flowing at a single frequency. In conclusion, we measure reactance and resistance in ohms, and we denote this measurement with the sign Z.
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What is the charge Q on the capacitor immediately after the switch is moved to position b?
Express your answer using two significant figures.
Answer must be in microC.
18 μC is the charge Q on the capacitor immediately after the switch is moved to position b .
The expression for the charge on the capacitor is as follows :
Q = CV
substitute 2.0 μF for C and 9V for V.
Q = (2μF) {[tex]\frac{1 * 10^{-6} F }{1μF}[/tex]} (9V)
= 18 * [tex]10^{-6}[/tex] C
≈ 18 μC
Charge is not stored in capacitors. In reality, capacitors store an unbalanced charge. If a capacitor's one plate has one coulomb of charge stored on it and the other plate has one less, the total charge (added up over both plates) will be zero.
Formula q=CV, where q is the charge stored, C is the capacitance, and V is the applied voltage, describes this relationship.
Always, current flows from -ve to +ve. As a result, charge will move away from the -ve plate and towards the +ve plate. Therefore, the charge on a capacitor always equals the charge on the positive plate, never the negative.
The link between a capacitor's capacitance, its charge, and the voltage across it.
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Find the gravitational force between Jupiter and its natural satellite Callisto. The mass of Jupiter is
1.99 x 10^27 kg and the mass of Callisto is 1.08 x 10^23 kg. The distance between Jupiter and
Callisto is 1.88 x 10^9m.
The gravitational force between Jupiter and its natural satellite Callisto is 3.76×10∧21 Newton.
What exactly is the gravitational force?The attraction force that exists in between two masses is directly proportional to the product of their mass and is inversely related to the square of the distance between them, according to Newton's universal law of gravitation.
The mass of Jupiter is 1.99 x 10^27 kg
the mass of Callisto is 1.08 x 10^23 kg
By using the formula
F = G M1×M2/ r²
(G = 6.67×10∧-11 )
F = ( 6.67×10∧-11 ×1.99 x 10^27 × 1.08 x 10^23 ) / (1.88 x 10^9)²
F = (13.28×10∧39)/3.534×10∧18
F =3.76×10∧21 Newton.
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Which statement best describes how science is an engineers work together in the research and development cycle
Answer: Which statement best describes how scientists and engineers work together in the research and development cycle? Scientists develop new technology, and then engineers use it to solve design problems.
Explanation: boom!
Three 3. 0g {\rm g} balls are tied to 80-cm {\rm cm}-long threads and hung from a single fixed point. Each of the balls is given the same charge q q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm {\rm cm} sides.
What is q?
Wave amplitude at a specific distance is charged (r). It can be expressed as energy; however Coulomb's law says that it is frequently described as a force.
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. Subatomic particles or matter particles are examples of the different forms of charges: Positive charge characterizes protons. Negative charge characterizes electrons.
Tcosθ=mg \sTsinθ=Fe\stanθ=
mg \sFe
∵ Fe= \sr \s2
Kq \s2
Fe= \s(2d) \s2
Kq \s2
Fe=4.l2 sin2 Kq2
"tan" equals "4l 2 sin 2 mg Kq 2"
equals (4l 2 sin 2 mg)4 0
q \s2
Q 2 equals (4mgl 2 sin 2 tan).
4πϵ \s0
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A rectangular tank 6 m long, 2 m deep and 2. 4 m wide contains 1 m of water. The tank is accelerated in the x-direction (along the direction of the 6 m length) with an acceleration 2. 45 m/s^22. 45m/s 2. What is the angle (in degrees) of the water surface with the horizontal
The angle (in degrees) of the water surface with the horizontal is 14.3 degrees
The angle of the water surface with the horizontal can be determined using the concept of the accelerations of gravity and centripetal force. The acceleration of gravity acts in the downward direction, and the centripetal force acts in the opposite direction of the acceleration. In this case, the horizontal acceleration of the tank is 2.45 m/s^2, which acts in the opposite direction of the gravitational acceleration.
The angle of the water surface with the horizontal can be found by taking the tangent of the ratio of the centripetal acceleration to the gravitational acceleration.
tan(theta) = (centripetal acceleration) / (gravitational acceleration)
tan(theta) = (2.45 m/s^2) / (9.8 m/s^2) = 0.25
Theta = 14.3 degrees
So the angle of the water surface with the horizontal is 14.3 degrees.
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Distance and ___ are really the same quantity. A. length b. direction c. speed d. displacement
Answer:
distance and length are the same quantity
A person jogging from the forest to the office covers the 6,800 meters in 2 hours. Their speed is not constant and they slow down and speed up at various times. What is their average velocity
The required average velocity of a person jogging from the forest to the office is calculated to be 0.94 m/s.
Given that,
Total displacement = 6800 m
Total time = 2 hrs
Speed is not constant and varies with time.
Let us convert hours to seconds.
2 hours = 2 × 60 minutes = 2 × 60 × 60 seconds = 7200 seconds
The equation for average velocity is known to be,
"Average velocity = Total displacement / Total time"
Putting in the above given values, we have,
Average velocity = 6800/7200 = 0.94 m/s
Thus, the average velocity is calculated to be 0.94 m/s.
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Adjusting the test-mass riser along the platform changes the radius of the circular path. True or false?
False: Adjusting the test-mass riser along the platform changes the radius of the circular path.
What is circular path ?
A circular path is a path that follows a circular shape or loop, as opposed to a linear path which follows a straight line. It is a type of motion that is common in physics, engineering, and mathematics. In engineering, circular paths are often used to describe the motion of objects such as wheels, gears, and pulleys.
In mathematics, circular paths are commonly used to describe rotations, orbits, circles, and other types of curves. Circular paths can also be used in artwork, architecture, and design.
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21 An antiaircraft shell is fired vertically upward with a muzzle velocity of 1000 ms-¹. Calculate the maximum height it can attain, the time taken to reach this height, the instantaneous velocities at the ends of 20 sec and 50 sec. d. When will its height be 37.5 km? Interprete your result. Neglect air resistance. a. b. C.
What causes diffusion in cells?
The causes diffusion in cells are, temperature, area of interaction, the size of the concentration gradient.
1) Temperature, The rate of diffusion increases as temperature rises.
2) Area of Interaction: The rate of diffusion increases as the surface area of interacting molecules increases.
3) The Size of the Concentration Gradient: The rate of diffusion is higher the greater the concentration gradient between the regions.
Higher the rate of diffusion, the more concentration between the locations. The movement is forced because of the increased pressure that the higher concentration creates. The movement of molecules from a location of higher concentration to a region of lower concentration can be used to define diffusion. The continuous motion (or kinetic energy) of atoms in matter is the primary cause of diffusion.
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ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a
The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]
What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.
What is angular velocity and write its formula?
Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.
Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day
1 day = 24x60x60
1 day=86400s
Angular velocity is given by :
[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]
Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.
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What is better static or dynamic stretching?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
It will be useful to be familiar with electric dipole moments when you start your study of electrocardiography. An electric diople moment is a vector that points:
An electric dipole moment is a vector that points means it has both magnitude as well as direction.
What does dipole moment electricity entail?A vector quantity is the electric dipole moment. It moves from a negative charge to a positive charge in a clearly defined direction. But it's crucial to keep in mind that only in physics is this convention of direction used.
What is the dipole moment in units?This vector quantity points in the direction of the dipole's positive charge from its negative charge. The SI unit for electric dipole moment is the coulomb-meter (Cm), whereas the C.G.S. unit is the debye.
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created when sound is formed from vibrations that cause pressure changes in the surrounding air. it is called by ___
created when sound is formed from vibrations that cause pressure changes in the surrounding air. it is called a sound wave
Sound is a mechanical wave that results from the back-and-forth vibrations of the particles of the air medium through which the sound wave is moving.
These vibrations in the air are caused by the vibration of the objects that generate the sound. If a sound wave is moving from left to right through the air, then particles of air will be displaced both rightward and leftward as the energy of the sound wave passes through it.
The motion of the particles is parallel to the direction of the energy transport. This is what characterizes sound waves in air as longitudinal waves.
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When a motor vehicle strikes a tree while traveling at 40 mph, the unrestrained occupant:
A. is thrust under the steering column onto the floorboard.
B. remains in motion until acted upon by an external force.
C. will decelerate at the same rate as the motor vehicle.
D. will most likely be thrown over the steering column.
D. will most likely be thrown over the steering column. When an unrestrained occupant is in a motor vehicle that strikes a tree while traveling at 40 mph, the occupant will be thrown from the vehicle due to the force of the impact. Without a seatbelt, the occupant will be thrown forward over the steering column.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration. This is due to the fact that the occupant is not restrained and therefore is not held in place by the seatbelt, allowing them to travel at the same speed until acted upon by an external force.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration.
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Which statement describes the electrostatic force between two charged objects?
A It is greater when two objects are farther apart.
B It is greater if two objects have the same charge.
C It is greater when the charges of the objects are greater.
D It is zero if the charges of the objects repel one another.
The electrostatic force connecting two electrostatic force is expressed by the statement that it is stronger when the voltages of the items are greater.
Electrostatics: What is it?The study of energies between charged, as outlined by Coulomb's Law, is known as electrostatics. We introduce the idea of a magnetic charge encircling charges. The electric current near a line and a plane are examples that we go through as we create detailed definition for both "electric potential" and "voltage."
What is an example of electrostatics?Examples involving electrostatic forces are: With the aid of a comb, we can create electrostatic force when i pass a piece of paper through to the oil in my heads. When one balloon is brushed with hair, the other balloon becomes drawn to it.
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