Question

Objects 1 has half the mass of object 2 and the objects move toward each other and experience an inelastic collision. If both objects do not move after the collision compare the velocity of both objects before the collision.

Answer 1

Answer:

Explanation:

Given

Object 1 is  of mass $\frac{m}{2}$

Object 2 has mass of $m$

They undergone inelastic collision and do not move after collision i.e. the collision is perfectly inelastic

Final momentum of both the object is zero

suppose $v_1$ and $v_2$ are the velocities of object 1 and 2 respectively then

$m_1v_1+m_2v_2=0$

$\frac{v_1}{v_2}=-\frac{m_2}{m_1}$

$\frac{v_1}{v_2}=-2$

$v_1=-2v_2$

i.e. velocity of object 1 is twice the velocity of object 2 but opposite to the direction of object 2