An object of mass m is initially held in place at radial distance r = 3RE from the center of Earth, where RE is the radius of Earth. Let ME be the mass of Earth. A force is applied to the object to move it to a radial distance r = 4RE, where it again is held in place. Calculate the work done by the applied force during the move by integrating the force magnitude.

Q: The figure shows a ball with mass m = 0.471 kg attached to the end of a thin rod with length L =…

A:

Q: The figure shows a thin rod, of length L = 1.50 m and negligible mass, that can pivot about one end…

A: Step 1:Length is 1.5mMass is 11kgAngle is 65oStep 2:The free body diagram of the thin rod will…

Q: A 2.5 kg mass is initially at rest on a horizontal surface. An applied force acts in the +x…

A: Given, Mass 'm' = 2.5 kg displacement 'd' = 1.5 m  final speed 'v' = 4 m /s at distance of 150 m…

Q: Does the centripetal force acting on an object in uniform circular motion do work on the object?…

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Q: A satellite in Earth orbit has a mass of 96 kg and is at an altitude of 1.98 x 10° m. (Assume that U…

A: (given) Mass of satellite = 96 kg Altitude of satellite = 1.98 ×106 m (a) Potential energy of…

Q: Consider a circular shaped bowl of radius R (see figure 9). A solid ball of mass m and radius r…

A: consider the ball which is at the bottom of the bowl, when given a small push makes an angle θ with…

Q: b) A force of magnitude 33 N and with fixed orientation displaces a particle through 5√2 me angle…

A: We are given force on particle. This force is constant. We are also given displacement of particle.…

Q: A pendulum consists of a 2.5 kg stone swinging on a 4.0 m string of negligible mass. The stone has a…

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Q: An object of mass 12 kg is at a certain height above the ground. If the potential energy of the…

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Q: The figure shows a ball with mass m = 0.471 kg attached to the end of a thin rod with length L =…

A: a)The work done on the ball by the gravitational force at the lowest point is 2.68Jb)The work done…

Q: A satellite is orbiting the earth in a perfectly circular orbit of radius 7.0 x 10³ km at constant…

A:

Q: 1. Which of the following does negative work on the system? Bearing Friction Bearing friction AND…

A: Work done by a force on an object is defined as the product of the force and the displacement of the…

Q: The figure shows a ball with mass m = 0.348 kg attached to the end of a thin rod with length L =…

A: given -   mass of ball (m) = 0.348 kg  and Length of rod  =0.453 m mass of rod = 0 kg

Q: (a) How much gravitational potential energy (relative to the ground on which it is built) is stored…

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Q: Consider a satellite in a circular orbit above Earth's surface. In Chapter 4 of the textbook we will…

A: In this question we have to answer why the work done is zero and the force of gravity changes…

Q: An object of mass 18 kg is at a certain height above the ground. If the potential energy of the the…

A: Given data :                        Mass of object    =     m                    Potential energy…

Q: 1) A frustrated online night school physics student hurls their 7.27kg laptop computer across the…

A: Given that the Mass of the laptop is m=7.27 kg, Height is h=4.51 meter, Horizontal speedv=9.12…

Q: A 6260-kg satellite is in a circular earth orbit that has a radius of 3.17 x 10' m. A net external…

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Q: A sphere of mass 3.5 kg is attached to one end of a rope. The work done to pull the sphere up 1.5 m…

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Q: Find the work done by the force F= given: The curve starting from the origin and going…

A: Given: The curve starting from the origin and going successively along the x axis to (1,0,0),…

Q: A point mass of 1.2 kg at the end of a cord is rotated on a frictionless horizontal surface in a…

A: Given that: r= 0.2 m w= 3.8 rad/s m= 1.2 kg We know that I= mr2 where I is the moment of inertia…

Q: The figure shows a thin rod, of length L = 1.60 m and negligible mass, that can pivot about one end…

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Q: You have Two boxes of mass 5.00 kg and 3.00 kg that are attached via a pulley, as seen in the…

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Q: The earth moving around the sun in a circular orbit is acted upon by a force and hence work must be…

A: False

Q: A satellite in Earth orbit has a mass of 109 kg and is at an altitude of 2.07 × 10° m. (Assume that…

A: Given data: Mass of satellite, m=109 kg Altitude of satellite, r=2.07×106 m Mass of the Earth and…

Q: A small block with mass 1 kg slides in a vertical circle of radius 0.5 m on the inside of a circular…

A: Mass= 1kg Initial velocity= 5 m/s Final velocity= 1 m/s Radius= 0.5 m

Q: A person throws a 0.150 kg ball with a speed of 40.4 m/s at an angle of 28.00 to the horizontal.…

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Q: An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and…

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Q: The figure below shows a ball with mass m = 0.330 kg attached to the end of a thin rod with length L…

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Q: A lump of putty (0.20 kg) hits a block (1.00 kg) at the bottom of a rough vertical loop that is 1.0…

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Q: In this problem, use the fact that the force of gravity on a particle of mass m at the point with…

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Q: A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.93 x 10° m. (Assume that U…

A:

Q: In an amusement park, a car with a mass of 481 kg rolls in a track as shown below. Note that the…

A: Hi = 50 m HA = 20 m HB = 40 m Hc = 0 m m = 481 kg Speed at A = 21 m/s

Q: An object moves in uniform circular motion. What is the reason the centripetal force does no work on…

A:

Q: a) A person is riding on a Ferris wheel of radius R. He starts at the lowest point of the wheel.…

A: a) W=F×d×cosθ   Where,  W= work done by the forceF = force appliedd= displacement caused by the…

Q: The figure shows two blocks, released from rest, connected by a light string passing without…

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Q: Consider a satellite in a circular orbit above Earth’s surface. In Chapter we will learn that the…

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Q: A 45.9-kg box is being pushed a distance of 6.54 m across the floor by a force P whose magnitude is…

A: mass of box (m) = 45.9 kg distance moved (d) = 6.54 m Magnitude of applied force (P) = 168 N…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.