(a) Define the term 'work'. Write the formula for the work done on a body when a force acts on the body in the direction of its displacement. Give the meaning of each symbol which occurs in the formula.

(b) A person of mass 50 kg climbs a tower of height 72 metres. Calculate the work doen. (5 = 9.8 $m s^{- 2}$ )

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Solution

(a)

workisdefinedas a force causing the movement—or displacement—of an object. In the case of a constant force,workis the scalar product of the force acting on an object and the displacement caused by that force.

Work doneis defined as product of the force and the distance over which the force is applied.Workisdonewhen a force is applied to an object and the object is moved through a distance. For example, when you lift a load you are applying a force over a distance so you are doingwork

(b)

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Similar questions

Q. Define the term 'work'. Write the formula for the work done on a body when a force acts on the body in the direction of its displacement. Give the meaning of each symbol which occurs in the formula.

(a) When do we say that work is done? Write the formula for the work done by a body in moving up against gravity. Give the meaning of each symbol which occurs in it.

(b) How much work is done when a force of 2 N moves a body through a distance of 10 cm in the direction of force?

Q. Write the formula for work done on a body when the body moves at an angle to the direction of force. Give the meaning of each symbol used.

A force of 12 N is acting on a body and the same force 12 N is acting on the same body but in a different direction. If the body moves with a displacement of $^{'} d^{'}$ metres, then what is the work done?

(a) What happens to the work done when the displacement of a body is at right angles to the direction of force acting on it ? Explain your answer.

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