Subjective Type

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, (c) work done by friction on a body sliding down an inclined plane, (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.

Solution

Work done is considered positive when the displacement is in the same direction as that of the applied force and negative when the displacement is in the opposite direction of applied force.

(a)Positive
In the given case, force and displacement are in the same direction. Hence, the sign of work done is positive. In this case, the work is done on the bucket.


(b) Negative
In the given case, the direction of force (vertically downward) and displacement (vertically upward) are opposite to each other. Hence, the sign of work done is negative.

(c) As force and displacement are in opposite directions, work done is negative.

(d) As force and displacement are in the same direction, work done is positive.

(e) As force and displacement are in opposite directions, work done is negative.


SIMILAR QUESTIONS

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No work is done by a force on an object if

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When a body moves with constant speed in a circular path, then:

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An object thrown at a certain angle to the ground moves in a curved path and falls back to the ground. The initial and the final points of the path of the object lie on the same horizontal line. What is the work done by the force of gravity on the object?

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When does a force perform work?

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It is possible that a force is acting on a body but still the work done is zero? Explain given the example.

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What are the quantities on which the amount of work done depends ? How are they related to work ?

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A boy throws a rubber ball vertically upwards. What type of work, positive or negative, is done : a) by the force applied by the boy? b) by the gravitational force of earth ?

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How much work is done when a body of mass $$m$$ is raised to a height is above the ground?

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Give one example each in which force does (a) positive work (b) negative work (c) zero work

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When is the work done by a force on a body: a) positive b) negative c) zero

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