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Work, Energy And Power

Question
CBSEENPH11017142

A body of mass 0.24Kg is tied with a string of length 70cm and made to revolve in a circular orbit of radius 70cm on the top of a horizontal table. The table is rough and has coefficient of friction 0.25. Find the work done by tension force in the string and by the force of friction in making one complete revolution.

Solution
Work done by tension:
We know that the tension force is always perpendicular to instantaneous displacement.
Therefore, the work done by tension force is zero.
Work done by force of friction:
                W equals F with rightwards arrow on top. S with rightwards arrow on top space equals space F S cosθ
We have,
Force, F equals mu m g equals 0.25 cross times 0.24 cross times 9.8 equals 0.588 straight N
Distance travelled, S equals 2 πr equals 2 straight pi left parenthesis 0.7 right parenthesis space equals space 4.4 straight m
                     straight theta equals 180 degree
Therefore,
Work done by the tension force in the string is,
                   space space space space W equals 0.588 cross times 4.4 cross times left parenthesis negative 1 right parenthesis space equals space minus 2.5872 space straight J