Question 217: Centre of Mass and Rotational Motion

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.

Accepted Answer

In completely inelastic collision,
$${m_1}{v_1} + {m_2}{v_2} = {m_1}v + {m_2}v$$
after collision both particle have common velocity $$v$$, so all energy is not lost
$$	herefore$$ Statement - $$1$$ is true
The principle of conservation of momentum applicable for all kinds of collisions.
So statement - $$2$$ is also true.
Statement - $$2$$ explains statement - $$1$$ correctly because applying the principle of conservation of momentum, we can get the common velocity and hence the kinetic energy of the combined body.

Answer

Statement - 1 is true, Statement - 2 is true; Statement - 2 is the correct explanation of Statement -  1

Answer

Statement - 1 is true, Statement - 2 is true; Statement - 2 is not the correct explanation of Statement -  1

Answer

Statement - 1 is false, Statement - 2 is true

Answer

Statement - 1 is true, Statement - 2 is false

Centre of Mass and Rotational Motion

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.

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