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Question

(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 s2)


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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

W equals F cross times s
W h e r e space F space i s space f o r c e
s space i s space d i s p l a c e m e n t

(b)
W equals F cross times s
space space space equals M cross times g cross times s
space space equals 50 cross times 9.8 cross times 72
space equals 35280 space J

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