Question

A force of $150N$ produces an acceleration of $2m{s}^{-2}$ in a body and a force of $200N$ produces an acceleration of $3m{s}^{-2}$. The mass of the body and the coefficient of kinetic friction are:

• A. $50kg,0.1$
• B. $25kg,0.1$
• C. $50kg,0.5$
• D. $50kg,0.2$

Answer 1

The correct option is A $50kg,0.1$

We know: $ma=F-\mu mg$
Thus, $2M=150-10\mu M$
And, $3M=200-10\mu M$
Solving simultaneously we get:
$M=50kgand\mu =0.1$