Question

A force of 150N produces an acceleration of 2ms square in a body and force of 200N produces an acceleration of 3ms square. To find the mass of the body and the coefficient of kinetic friction.

Answer 1

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.