   Chapter 6, Problem 67AP

Chapter
Section
Textbook Problem

A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2-kg physics textbook horizontally toward the north shore at a speed of 5.0 m/s. How long does it take him to reach the south shore?

To determine
The time taken by the man to reach the south shore.

Explanation

Given info: The weight of the man (W) is 730 N. The radius of the pond (r) is 5.00 m. Mass of the textbook ( mB ) is 1.2 kg. Speed of the book is 5.0 m/s.

Explanation:

Formula to calculate the mass of the man is,

mM=Wg

• g is the acceleration due to gravity.

Substitute 730 N for W and 9.8ms2 for g.

mM=730N9.8ms2=74.5kg

From law of conservation of momentum, the initial momentum is equal to the final momentum. The initial momentum is zero. Therefore,

0=mMvMmBvB

• vM is the speed of the man.
• vB is the speed of the book

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