What is the magnitude of Daniels velocity after the collision?

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 53.1 degrees from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

A. 40 m/s

B. 32 m/s

C. 5 m/s

D. None of the above

Asked by Thechadwictan, Last updated: Apr 01, 2024

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3 Answers

O. Bickis, Corporate employee, MBA, Stockton

Answered Dec 17, 2018

When two objects collide like cars, it is important to determine the magnitude of the crash based on the velocity and speed of the two items. To do that, you need to divide the mass or weight of the objects by the speed. In this case, the mass of one skater is 65 kilograms and the other mass of the other skater is 45 kilograms.

Then you have to find out how fast each skater is moving. In this case, one skater is moving at 13 meters per second and she has a velocity of magnitude of eight meters per second. Therefore, you can calculate through the formula the magnitude of Daniel’s velocity after the collision which is five meters per second.