Chapter 6, Problem 23P

### College Physics

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

Chapter
Section

### College Physics

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

# A 45.0-kg girl is standing on a 150.-kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.50 m/s to the right relative to the plank. (a) What is her velocity relative to the surface of the ice? (b) What is the velocity of the plank relative to the surface of the ice?

(a)

To determine
Velocity of the girl relative to the ice.

Explanation

Given Info: Mass of girl is mG=45.0â€‰kg , Mass of plank isÂ  mP=15.0â€‰kg , Initial velocity of the girl and plank is vGIâ€‰andâ€‰vPI=0 and velocity of girl relative to plankÂ  is vGP=1.50Â m/s

Explanation:

The expression for velocity is

vGI=vGP+vPI

• vGI is the Velocity of the girl relative to the ice
• vGP is the Velocity of the girl relative to the Plank
• vPI is the Velocity of the Plank relative to the ice

Apply conservation of momentum to girl â€“ plank system

(mGvGI+mPvPI)i=(mGvGI+mPvPI)f

• mG is the mass of the girl.
• mP is the mass of the plank

(b)

To determine
Velocity of the Plank relative to Ice.

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