A block of mass 'm' moving along a straight line with constant velocity $3 \overrightarrow{\mathrm{V}}$…

A block of mass 'm' moving along a straight line with constant velocity $3 \overrightarrow{\mathrm{V}}$ collides with another block of same mass at rest. They stick together and move with common velocity. The common velocity is
  1. $\frac{3 \vec{v}}{2}$
  2. $2 \vec{V}$
  3. $\overrightarrow{3} \vec{V}$
  4. $\vec{V}$

Solution

A block of mass $'m'$ moving along a straight line with constant velocity $3 \vec{v}$ collides with another block of same mass at rest. They stick together and move with common velocity. The common velocity is $\frac{3 \vec{v}}{2}$. $(m+m) v_{2}=m \times 3 v$ $v_{2}=\frac{3}{2} \vec{v}$

Asked in: MHT CET 2020 (20 Oct Shift 1)

Practice more Center of Mass Momentum and Collision questions on Aicharya