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Question

Question: Consider the following two statements 1\. Linear momentum of a system of particles is zero 2\. Kin...

Consider the following two statements

1. Linear momentum of a system of particles is zero

2. Kinetic energy of a system of particles is zero

Then

A

1 implies 2 and 2 implies 1

B

1 does not imply 2 and 2 does not imply 1

C

1 implies 2 but 2 does not imply 1

D

1 does not imply 2 but 2 implies 1

Answer

1 does not imply 2 and 2 does not imply 1

Explanation

Solution

Momentum is a vector quantity whereas kinetic energy is a scalar quantity. If the kinetic energy of a system is zero then linear momentum definitely will be zero but if the momentum of a system is zero then kinetic energy may or may not be zero.