NEET Physics Question - Center of Mass , Momentum and Collision

Rankers Physics

Topic: Center of Mass , Momentum and Collision

Subtopic: Motion of Center of Mass

A boat of mass 40 kg is at rest. A dog of mass 4 kg starts moving in the boat with velocity of 10 m/s. What is the speed of boat ?

1 m/s

2 m/s

4 m/s

8 m/s

\[ v_{cm}=\frac{(m_{1}v_{1}+ m_{2}v_{2})}{(m_{1}+m_{2})} \]

As Center of mass will remain at rest \[ (m_{1}v_{1}+ m_{2}v_{2}) = 0 \]

4 × 10 + 40 × v = 0

v = -1 m/s