Magnitudes of Work

Person A pushes a \(2 \text{ kg}\) mass constantly with some force. The mass moves on a rough surface with coefficent of friction \(\mu = 0.5\). The mass moves a total of \(1 \text{ m}\) at constant velocity of \(.2 \text{ m}/\text{s}\) while person A is pushing.

In a second experiment, a ball of mass \(.5 \text{ kg}\) falls from a height of \(2 \text{ m}\). Person B catches it after falling \(2 \text{ m}\), bringing it to rest.

Who does more work in total?

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