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A man having a box on his head, climbs up a slope and another man having anidentical box walks the same distance on a levelled road. Who does more workagainst the force of gravity and why?

Question

A man having a box on his head, climbs up a slope and another man having anidentical box walks the same distance on a levelled road. Who does more workagainst the force of gravity and why?

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Solution

The man climbing up the slope does more work against the force of gravity. This is because work done is defined as force times distance. In this case, the force is the weight of the box (which is the same for both men as the boxes are identical) and the distance is the height climbed.

For the man walking on a level road, the distance he moves the box vertically is zero, so the work done against gravity is also zero.

However, for the man climbing the slope, he is moving the box upwards against the force of gravity. Therefore, the vertical distance the box is moved is not zero, and so the work done against gravity is not zero.

So, the man climbing the slope does more work against the force of gravity.

This problem has been solved

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