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Solved: Mixed-pair ice skaters performing in a show are

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 17CQ Chapter 8

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 17CQ

Mixed-pair ice skaters performing in a show are standing motionless at arms length just before starting a routine. They reach out, clasp hands, and pull themselves together by only using their arms. Assuming there is no friction between the blades of their skates and the ice, what is their velocity after their bodies meet?

Step-by-Step Solution:

Solution to 17CQ

Step 1 of 3</p>

We need to find the velocity of the mixed pair of ice skaters after they clasp their hands together and pull themselves using hands. It is given that there is no friction between the blades and the ice.

Let us assume that the collision is inelastic where the kinetic energies before and after collision is not conserved.  

The mass of first ice skater

The mass of second ice skater

The initial velocity of first ice skater

The initial velocity of second ice skater

Final velocity of first ice skater

Final velocity of second ice skater

Momentum of a moving body is given as

Where,

 is the mass of the object

 is the velocity.

Step 2 of 3</p>

The ice skaters are at rest before they join hands. Thus their initial momentum is as follows.

Step 3 of 3

Chapter 8, Problem 17CQ is Solved
Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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Solved: Mixed-pair ice skaters performing in a show are

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