Part A

Two ice skaters, Daniel $($mass $60\mathrm{.}0kg)$ and Rebecca $($mass $45\mathrm{.}0kg),$ are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at $13\mathrm{.}0\frac{m}{s}$ before she collides with him. After the collision, Rebecca has a velocity of magnitude $7\mathrm{.}00\frac{m}{s}$ at an angle of $52\mathrm{.}1$ from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

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

Express your answer in meters per second.

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Part B

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

Express your answer in degrees.

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Part C

What is the change in total kinetic energy of the two skaters as a result of the collision?

Express your answer in joules.