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Two ice skaters, Daniel (mass 65.0 kg) and Rebecca (mass
Chapter 10, Problem 27E(choose chapter or problem)
Two ice skaters, Daniel (mass 65.0 kg) and Rebecca (mass 45.0 kg), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 13.0 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 8.00 m/s at an angle of 53.1o from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink. (a) What are the magnitude and direction of Daniel’s velocity after the collision? (b) What is the change in total kinetic energy of the two skaters as a result of the collision?
Questions & Answers
QUESTION:
Two ice skaters, Daniel (mass 65.0 kg) and Rebecca (mass 45.0 kg), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 13.0 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 8.00 m/s at an angle of 53.1o from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink. (a) What are the magnitude and direction of Daniel’s velocity after the collision? (b) What is the change in total kinetic energy of the two skaters as a result of the collision?
ANSWER:Step 1 of 4
Data given
Mass of Daniel \(m_{1}=65 \mathrm{~kg}\)
Mass of Rebecca \(m_{2}=45 \mathrm{~kg}\)
Velocity of Rebecca \(v_{1}=13.0 \mathrm{~m} / \mathrm{s}\)
Velocity of Rebecca after collision \(v_{2}=8.0 \mathrm{~m} / \mathrm{s}\)
Angle of direction \(\theta=53.1^{\circ}\)
We need to find the magnitude and direction of Daniel's velocity after collision