Question

A block of mass 2 kg is placed on the surface of trolley of mass 20 kg which is on a smooth surface. The coefficient of friction between the block and the surface of the trolley is 0.25. If a horizontal force of 2 N acts on the block, the acceleration of the system in $m{s}^{-2}$ is

• A. 1.8
• B. 1
• C. 0.9
• D. 0.09

Answer 1

The correct option is D 0.09

Maximum possible acceleration of 2kg is $a=.25g=2.5m/s^2$

Common acceleration of system $a_s=\frac{2}{22}=0.09m{s}^{-2}$

So they will move with acceleration of $0.09m/s^2$