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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A boy of mass mb and his girlfriend of mass mg, both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity vg toward the east. Assume that mb > mg. (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?

(a)

To determine
The subsequent motion of the boy.

Explanation

Given info: Mass of the boy is mb . Mass of the girl is mg . Initially both of them are standing rest on a frictionless ice rink facing each other. The boy pushes the girl giving her a velocity in east direction of magnitude vg . Mass of the boy is greater than the mass of the girl.

Explanation:

Consider east to be the positive direction and west to be the negative direction. From conservation of momentum of the boy and girl, the sum of initial momentum of the boy and the girl will be equal to the sum of final momentum of them. Since initially both of them are at rest,

mbvb+mgvg=0

(b)

To determine

To show: The kinetic energy of the girl is higher than the kinetic energy of the boy.

(c)

To determine
How to account for the appearance of the mechanical energy of the boy and the girl.

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