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Work, Energy And Power

Question
CBSEENPH11017241

A body of mass 2 kg initially at rest moves under the action of an applied horizontal forces of 7N on a table with co-efficient of kinetic friction 0.1. Compute:
(a) the work done by the applied force in 10 sec.,
(b) the work done by the friction force in 10 sec.,
(c) the work done by the net force on the body in 10 sec.,
(d) the change in kinetic energy of the body in 10 sec and interpret your results. 

Solution
It is given that, 
Mass of the body, m = 2 kg
Force acting on the body, F = 7N
Coefficient of friction, space straight mu equals 0.1 
Time taken, t = 10 sec


The force of friction between block and surface is,
                       f equals mu space m g space equals space 2 straight N

 The net accelerating force on body is,
                   F - f = 7 - 2 = 5N
Therefore,
Acceleration, a equals F over m equals 2.5 m divided by s squared
Now the displacement undergone by the body in 10 sec is,
                    straight S equals ut plus 1 half at squared
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(a) Work done by applied force in 10 sec.,
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(b) Work done by friction force is,
     space space straight W subscript friction space equals space straight f times straight s space equals space 2 cross times 125 space equals space 250 space straight J
(c) Work done by net force is,
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(d) Change in kinetic energy of body is equal to the work done by net force = 625 J.