A bowling ball with a momentum of 18kg-m/s strikes a stationary bowling pin. After the collision, the ball has a momentum of 13kg-m/s directed 55 degrees to the left of its initial direction as shown below. What is the momentum (magnitude and direction) of the pin's resultant velocity?

Explanation:

= Initial momentum of the pin = 13 kg m/s

= Initial momentum of the ball = 18 kg m/s

= Momentum of the ball after hit

= Angle ball makes with the horizontal after hitting the pin

= Angle the pin makes with the horizotal after getting hit by the ball

Momentum in the x direction

Momentum in the y direction

The pin's resultant velocity is

The pin's resultant direction is below the horizontal or to the right.

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where are the vectors ?