1. A 11-g bullet with an unknown initial speed is shot directly at a 1-kg wooden
ID: 1288919 • Letter: 1
Question
1.
A 11-g bullet with an unknown initial speed is shot directly at a 1-kg wooden block, which rests on a frictionless surface. After impact, the bullet is embedded into the block, and the block moves at a speed of 2.92. What was the initial speed of the bullet? (Although this is not justified, calculate your answer to 4 significant figures)
2. A 11-g bullet with an initial speed of 290 m/s is shot directly at a 1-kg wooden block, which rests on a frictionless surface. The bullet passes through the block and emerges with a speed of 271. What is the speed of the block, after the bullet has passed through the block?
3. A 12-g bullet with an initial speed of 302 m/s is shot directly at a 1.1-kg wooden block, which rests on a frictionless surface. The bullet passes through the block, after which the block is moving at a speed of 0.153. What is the speed of the bullet after it has passed through the block?
Explanation / Answer
1) mv = (M+m)*V
v = (M+m)*V/m = ((1+0.011)*2.92)/0.011 = 268.37 m/s
2) m*v = m*v1 + M*V1
(0.011*290) = (0.011*271)+(1*V1)
V1 = 0.209 m/s
3) m*v = m*v1 + M*V1
(0.012*302) = (0.012*v1)+(1*0.153)
V1 = 289.25 m/s
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