Which of the following graphs best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground? group of answer choices

The graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph

Gravitational potential energy is the energy possessed by a body by virtue of its position. The formula is expressed as:

E = mgh

m is the mass of the object

g is the acceleration due to gravity

h is the height of the object

Note that the formula shows that the gravitational potential energy is directly proportional to the height of the object

This direct proportionality shows that the required graph will have a positive slope.

This shows that the graph that best represents the relationship between the gravitational potential energy of a freely falling object and the object's height above the ground is the last graph

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The last graph.

Explanation:

Gravitational potential energy is the energy possessed by a body at a given height from the Earth's surface.

The formula to find the gravitational potential energy is given as:

Where, 'U' is the gravitational potential energy.

'm' is the mass of the body.

'g' is the acceleration of the body due to gravity.

'h' is the height of the body above the Earth's surface.

So, from the above equation, it is clear that, gravitational potential energy is directly proportional to the height. So, as height increases, the gravitational potential energy increases. At the surface of Earth, where, height is 0, the gravitational potential energy is also zero.

Therefore, the correct graph is a straight line with positive slope and passing through the origin. So, the last option is the correct one.

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