Question

A bucket full of water is drawn up by a person. In this case the work done by the gravitational force is:

A
negative because the force and displacement are in opposite directions.
B
positive because the force and displacement are in the same direction.
C
negative because the force and displacement are in the same direction.
D
positive because the force and displacement are in opposite directions.
Solution
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As the gravitational force acts downward and the displacement of the bucket is upward, force acts opposite to the displacement of the body. The work done being a dot product of force and displacement vectors, becomes negative as cosine of 1800 is 1.

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