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Describe the shape of the graph, and explain what it says about the relationship between height and gravitational potential energy.

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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
User Eric Skroch
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