Gravitational Potential Energy for a system which includes the Earth and a small

Question

Gravitational Potential Energy for a system which includes the Earth and a smaller object depends on.....
Select all that are True.
(1) the mass of the object
(2) How fast the object is moving when it is at a certain height
(3) the height of the object above the Earth
(4) the shape of the object
(5) the path the object took to get to its height (if it went straight up, vs. side-to-side at an angle, etc.)
(6) the strength of the Earth's gravity (the size of "g")

Potential Energy.....
Select all that are True.
(1) is the property of a single object being acted on by a force.
(2) arises from forces where the work done depends on the path taken.
(3) arises from forces where the work done is independent of the path taken.
(4) is the property of multiple objects interacting through a force.
(5) is energy that a system has by virtue of its velocity and acceleration.
(6) is energy that a system has by virtue of its position.

Explanation / Answer

Gravitational potential energy = G*M*m/R
So it depends on:
(1) the mass of the object
(3) the height of the object above the Earth
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Potential Energy is conservative force. it doesn't depend on path taken. It depends on the position. So answers are:
(3) arises from forces where the work done is independent of the path taken.
(4) is the property of multiple objects interacting through a force.
(6) is energy that a system has by virtue of its position.

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