Three hikers take three different paths to the top of a mountain, Paths 1, 2, and 3. The hikers are all the same height and weight.

When all of the hikers are at the finish point at the top of the mountain, which hiker will have the greatest amount of gravitational potential energy?

A)The gravitational potential energy is the same for all of the hikers.
B)The hiker who took Path 1
C)The hiker who took Path 2
D)The hiker who took Path 3

We have three hikers who took three different paths to the top of a mountain labelled as paths 1, 2, and 3. The hikers are all the same height and weight.

We have to find which hiker will have the greatest amount of gravitational potential energy at the top.

What is the gravitational potential energy of the body of mass ' m ' at a height ' h ' above the surface of earth (h <<R)?

The formula to calculate the gravitational potential energy is -

U (h) = mgh

In the question given to us -

Mass of each hiker is same = m kg

Height of each hiker at top is same = h meters

The gravitational Potential Energy of a body is independent of the path taken. Since the mass and height of each hiker is same, therefore -

U (h[1]) = U(h[2]) = U(h[3]) = mgh

Hence, Option A is correct.

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