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Solved: Mixed-pair ice skaters performing in a show are
Chapter 8, Problem 17(choose chapter or problem)
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?
Questions & Answers
QUESTION:
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?
ANSWER:
Solution to 17CQ
Step 1 of 3
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.
