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Question 27.1: An object of mass m falls vertically from A to B. If A is th......

An object of mass m falls vertically from A to B. If A is the point where s = 0 and B where s = 10 find the total work done by gravity as the mass falls from A to B.

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The work done by gravity is found by evaluating the line integral

W=m g \int_{s=0}^{s=10} \mathrm{~d} s=m g[s]_0^{10}=10 m g

Note that this is also the potential energy lost by m in falling a distance of 10 units.

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