# Two ice skaters, Daniel (mass 70.0 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 55.1 ∘ from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.What is the direction of Daniel's velocity after the collision?

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Two ice skaters, Daniel (mass 70.0 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 55.1 ∘ from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

What is the direction of Daniel's velocity after the collision?

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Step 1

The principle of conservation of momentum states that the momentum of the system before collision equals the momentum of system after collision.

Use the conservation of momentum along the along the X direction.

Use the conservation of momentum along the Y.

Step 2

Use equation (1) to solve for the X component of Daniel’s velocity.

Step 3

Use equation (2) to solve for the Y component of Daniel’s velocity.

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