   Chapter 6, Problem 4CQ

Chapter
Section
Textbook Problem

Two identical ice hockey pucks, labeled A and B, are sliding towards each other at speed v. Which one of the following statements is true concerning their momenta and kinetic energies?(a) p → A = p → B  and  K E A  =  K E B (b) p → A = − p → B  and  K E A  =  − K E B (c) p → A = − p → B  and  K E A  =  K E B (d) p → A = p → B  and  K E A  =  − K E B

To determine
The momentum and kinetic energy of the two identical pucks.

Explanation

Considering the mass of the two identical pucks is m . And the puck A is moving along positive direction.

Expression for the kinetic energy of the puck A is,

KEA=12mv2 (I)

Expression for the momentum of the puck A is,

PA=mv (II)

As the both pucks are sliding towards each other, considering the speed of the puck B is in negative direction.

Expression for the kinetic energy of the puck B is,

KEB=12m(v)2=12mv2 (III)

Expression for the momentum of the puck B is,

PB

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