| A student places a light, 800 g plastic two-meterstick on an air hockey table. She shoots a 300 g air-puck at a speed of 4.00 m/s towards the stationary two-meterstick in such a way that the puck impacts the two-meterstick at an angle of 900. With a little practice, she finds that if the air-puck impacts the two-meterstick at just the right distance from its center, she is able to create a collision in which the air-puck comes to a stop and the two-meterstick goes rotating off. Assuming that there is no friction between the table and the puck or the two-meterstick: |
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| (A) |
Is angular momentum conserved during this collision ? What is the angular velocity of the two-meterstick after the collision if the puck strikes the two-meterstick at a distance of 50.0 cm from the center of the two-meterstick and the puck comes to a complete stop ? |
| (B) |
Is linear momentum conserved during this collision ? Determine the final velocity of the center of mass of the two-meterstick if the puck come to a stop. Does the linear velocity of the meterstick depend upon where the puck strikes the meterstick ? |
| (C) |
Is energy conserved if the puck strikes the two-meterstick 50.0 cm from its center and the puck comes to a stop ? What is the fractional energy loss during the collision ? |
| (D) |
Determine the distance from the center which the puck must strike the two-meterstick for the puck to come to rest and energy to be conserved. |