Question

Object A has a mass of 3 kg and a velocity of 2 m/s. It collides and sticks to object B which had a mass of 10 kg and a velocity of 1 m/s. How fast will the object AB be moving after the collision?

Answer 1

Object AB is moving with the velocity of 1.23 m/s.

Givne data:

The mass of object A is m=3 kg.

The velocity of object A is u=2 m/s.

The mass of object B is M=10 kg

The velocity of object B is v=1 m/s.

Applying the conservation of momentum before and after the collision,

$\begin{gathered} mu+Mv=(m+M)V \\ (3)(2)+(10)(1)=(3+10)V \\ V=1.23\text{ m/s} \end{gathered}$

Thus, the object AB moving with a velocity of 1.23 m/s after the collision.