Question

Statement -1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement -2 : Principle of conservation of momentum holds true for all kinds of collisions.

• A. Statement -1 is ture , statement -2 is true, and statement-2 is correct explanation of statement -1.
• B. Statement-1 is ture, statement-2 is true, but statement -2 is not a correct explanation of statement-1.
• C. Statement-1 is true, but statement -2 is false.
• D. Statement-1 is false, but statement-2 is true.

Answer 1

The correct option is A Statement -1 is ture , statement -2 is true, and statement-2 is correct explanation of statement -1.


If it is a completely inelastic collision, then
$m_1{v}_1+m_2{v}_2=m_{1}v+m_{2}v$
$\Rightarrow v=\frac{m_1{v}_1+m_2{v}_2}{m_1+m_2}$

$KE=\frac{p_1^2}{2m_1}+\frac{p_2^2}{2m_2}$
As $p_1$ and $p_2$ both simultaneously cannot be zero, total $KE$ can not be lost.