A bucket filled with water is lowered from terrace to the ground floor with the help of rope. Is the work done by the gravitational force is positive or negative?

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Solution

Since the gravitational force due to the weight of the water in bucket and distance covered by filled bucket is in same direction. θ = 0^o.

Work = Force * displacement * Cosθ

Work done will be positive.

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Work done by gravitational force on a man, in lifting a bucket out of the well by rope tied to the bucket is

The sign of work done by a force on a body is important to understand. State carefully if the following quantities are positive or negative:

(a) work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket.

(b) work done by gravitational force in the above case,

(d) work done by an applied force on a body moving on a rough horizontal plane with uniform velocity,

(e) work done by the resistive force of air on a vibrating pendulum in bringing it to rest.

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