As shown in the figure above, a wooden ball with a mass of 280 g swings back and
ID: 1972902 • Letter: A
Question
As shown in the figure above, a wooden ball with a mass of 280 g swings back and forth on a string, pendulum style, reaching a maximum speed of 5.00 m/s when it passes through its equilibrium position. Use g = 10.0 m/s2.
(a) At what maximum height above the equilibrium position was the ball released from rest?
_______________m
(b) At one instant, when the ball is at its equilibrium position and moving left at 5.00 m/s, it is struck by a bullet with a mass of 12.0 g. This is shown in the figure. Before the collision, the bullet has a velocity of 296 m/s to the right. The bullet passes through the ball and emerges with a velocity of 100 m/s to the right. What is the magnitude and direction of the ball’s velocity immediately after the bullet emerges from the ball? To indicate the direction, use a positive sign if the ball's velocity is to the right, and a negative sign if the ball's velocity is to the left. Neglect any change in mass for the ball.
_______________m/s
Explanation / Answer
a)h=v^2/2g=1.27 m b)-0.280*5+0.012*296=0.012*100+0.280*v v=3.4 m/s
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