a force of 150 Newton produces an acceleration of 20 metre per second in a body of mass M calculate the force required to produce an acceleration of 50 metre per seconds in it
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The force acting on the body - the frictional force = net force providing the given acc.
therefore,
150 (given force) - (mu - coeff. of friction) x N = m x a
150 - (mu) x N = 2m.
(mu) x N = 150 - 2m -----(1)
also,
200 - (mu) x N = m x a
putting eqn (1) in this eqn we get ,
200 - 150 + 2m = 3m
m = 50 kgs.
putting the value of m in eqn (1) we get ,
(mu) x m x g = 150 - 100
(mu) x 500 = 50.
therefore , (mu) = 0.1
hece the mass of the body is 50kgs and the coefficient of kinetic friction is 0.1.
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