A man X to the top of a building by a vertical spiral staircase. Another man Y of the same mass goes to the top of the same building by a slanting ladder. Which of the two does more work against gravity and why?

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Solution

Work done against gravity for taking a mass 'm' to a height 'h' = mgh (Where 'g' is the acceleration due to gravity) .....(1)

In the given question, the mass of man X and man Y are the same and they also go to the same height of the building. So, it does not matter what path they take to reach the top of the building. According to equation (1), the total work done by both of them will always be the same.

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