Work And Energy Test

Result

Work And Energy Test - 3

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Question 1
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Consider the following two statements.

(1) The linear momentum of a system of particles is zero.

(2) The kinetic energy of a system of particles is zero.

A
A does not imply B and B does not imply A.

B
A implies B but B does not imply A.

C
A does not imply B but B implies A.

D
A implies B and B implies A.

Solution

Statement A means that the net linear momentum of the system is zero which does not necessarily means that the individual velocities of particles in the system are zero. Hence A does not imply B.

But if statement B is considered to be true then the speed of individual particles are zero which will ensure that the linear momentum is also zero. Hence B implies A.

A does not imply B but B implies A.