1. A body weighs 20 N on the surface of the Earth. What does it weigh on the surface of the moon? Calculate the gravitational potential energy of the body while it is in the moon's surface.

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Write your solutions in a clear piece of paper and avoid erasures before taking an image.
1. A body weighs 20 N on the surface of the Earth. What does it weigh on the surface of the moon?
Calculate the gravitational potential energy of the body while it is in the moon's surface.
2. The gravitational PE of an object in the Earth's surface is given by,
mMg
U = -G
derive the expression for the force. Discuss the implication when r → o and r → 0. Show your
solutions step by step.
3. Discuss how the center of gravity and area of support affects the equilibrium state of a moving
vehicle in an inclined road.
4. (a) Is it possible for an object to be in translational equilibrium(the first condition) but not in
rotational equilibrium (the second condition)? Illustrate your answer with a simple example. (b)
Can an object be in rotational equilibrium yet not in translational equilibrium? Justify your answer
with a simple example.
5. Communications satellite revolves in orbits over the Earth's equator are adjusted so that their
period of rotation is the same as the period of rotation of the Earth about its axis. An observer
rotating with the Earth thus sees the satellite fixed in the sky. Find the distance of these satellites
above Earth's surface.
6. Bonus question: From your answer in item no.2 and Newton's Laws of motion, what is the
acceleration due to gravity at the surface of the Earth? Note that you do not get any points here
if you cannot answer item no.2 correctly.
Transcribed Image Text:Write your solutions in a clear piece of paper and avoid erasures before taking an image. 1. A body weighs 20 N on the surface of the Earth. What does it weigh on the surface of the moon? Calculate the gravitational potential energy of the body while it is in the moon's surface. 2. The gravitational PE of an object in the Earth's surface is given by, mMg U = -G derive the expression for the force. Discuss the implication when r → o and r → 0. Show your solutions step by step. 3. Discuss how the center of gravity and area of support affects the equilibrium state of a moving vehicle in an inclined road. 4. (a) Is it possible for an object to be in translational equilibrium(the first condition) but not in rotational equilibrium (the second condition)? Illustrate your answer with a simple example. (b) Can an object be in rotational equilibrium yet not in translational equilibrium? Justify your answer with a simple example. 5. Communications satellite revolves in orbits over the Earth's equator are adjusted so that their period of rotation is the same as the period of rotation of the Earth about its axis. An observer rotating with the Earth thus sees the satellite fixed in the sky. Find the distance of these satellites above Earth's surface. 6. Bonus question: From your answer in item no.2 and Newton's Laws of motion, what is the acceleration due to gravity at the surface of the Earth? Note that you do not get any points here if you cannot answer item no.2 correctly.
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