Two ice skaters, Daniel (mass 70.0 kg) andRebecca (mass 45.0 kg), are practicing

Question

Two ice skaters, Daniel (mass 70.0 kg) andRebecca (mass 45.0 kg), are practicing. Daniel stopsto tie his shoelace and, while at rest, is struck by Rebecca, whois moving at 12.0 m/s before she collides with him.After the collision, Rebecca has a velocity of magnitude 8.00m/s at an angle of 55.1 degrees from her initial direction. Both skaters move onthe frictionless, horizontal surface of the rink. A. What is the magnitude of Daniel's velocity after thecollision? B. What is the direction of Daniel's velocity after thecollision? C. What is the change in total kinetic energy of the twoskaters as a result of the collision? Two ice skaters, Daniel (mass 70.0 kg) andRebecca (mass 45.0 kg), are practicing. Daniel stopsto tie his shoelace and, while at rest, is struck by Rebecca, whois moving at 12.0 m/s before she collides with him.After the collision, Rebecca has a velocity of magnitude 8.00m/s at an angle of 55.1 degrees from her initial direction. Both skaters move onthe frictionless, horizontal surface of the rink. A. What is the magnitude of Daniel's velocity after thecollision? B. What is the direction of Daniel's velocity after thecollision? C. What is the change in total kinetic energy of the twoskaters as a result of the collision?

Explanation / Answer

Let v = Daniel's velocity after the collision at an angle ? with Rebecca's original direction.

As no external force acted during the collision, initial and final linear momenta of Daniel and Rebecca in the original direction of Rebecca's motion and in a direction perpendicular to it will be the same.

=> (45) * (12) = (45) * (8) * cos(54.1

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