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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

Two blocks of masses m1 and m2 approach each other on a horizontal table with the same constant speed, v0, as measured by a laboratory observer. The blocks undergo a perfectly elastic collision, and it is observed that m1 stops but m2 moves opposite its original motion with some constant speed, v. (a) Determine the ratio of the two masses, m1/m2. (b) What is the ratio of their speeds, v/v0?

(a)

To determine
The ratio of the two masses.

Explanation

Given info: The speed of the blocks is v0. After the collision, m1 comes to rest.

From law of conservation of momentum,

m1v1i+m2v2i=m1v1f+m2v2f

  • v1i and v1f are the initial and final speeds of the mass m1 respectively.
  • v2i and v2f are the initial and final speeds of the mass m2 respectively.

Substitute v0 for v1i , v0 for v2i and 0 for v1f

(b)

To determine
The ratio vv0 .

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