Assertion: Two particles moving in the same direction do not lose… - Vidyadip

MCQ

Assertion: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Reason: Principle of conservation of momenturm holds true for all kinds of collisions.

A
Assertion and reason both are correct statements and reason is correct explanation for assertion.
B
Assertion and reason both are correct statements but reason is not correct explanation for assertion.
C
Assertion is correct statement but reason is wrong statement.
D
Assertion is wrong statement but reason is correct statement.

✓

Answer

(a) Assertion and reason both are correct statements and reason is correct explanation for assertion.
Explanation: If it is a completely inelastic collision then:
$
\begin{aligned}
& m_1 v_1+m_2 v_2=m_1 v+m_2 v \\
& \text { or } v=\frac{m_1 v_1+m_2 v_2}{m_1+m_2} \\
& KE=\frac{p_1^2}{2 m_1}+\frac{p_2^2}{2 m_2}
\end{aligned}
$
As $\vec{P}_1$ and $\vec{P}_2$ both simultaneously cannot be zero, therefore total KE cannot be lost.

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