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07quiz_11 - Physics 9A-C Quiz week#7 Name Last 4 ID...

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Physics 9A-C Quiz week #7 Name: 5/13/2011 Last 4 ID: A rifle bullet of mass 5.0 g strikes and embeds itself in a block of mass 0.995 kg that rests on a frictionless horizontal surface and is attached to an ideal massless spring. The impact compresses the spring 10.0 cm. Calibration of the spring shows that a force of 0.80 N compresses the spring 0.20 cm. a) (2 pts) What is the spring force constant k? Solution: k is found from the calibration information: F = k x õ k = 0.8 N/0.002 m = 400 N/m b) (5 pts) What is the initial speed of the bullet? There are two time scales here. Because of its extreme speed, the bullet slams into the block and is stopped very quickly. But, because of its large inertia (initially it is at rest), the block responds by compressing the spring on a much longer time scale. The bullet embeds itself in the block which is a completely inelastic collision. Though energy is not conserved,
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