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A 16.2-g bullet with an initial speed of 850 m/s embeds itself in a 40.0-kg block, which is attached to a horizontal spring with a force con
Question
A 16.2-g bullet with an initial speed of 850 m/s embeds itself in a 40.0-kg block, which is attached to a horizontal spring with a force constant of 1000 N/m. What is the maximum compression of the spring
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Physics
4 years
2021-08-11T05:44:14+00:00
2021-08-11T05:44:14+00:00 1 Answers
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Answers ( )
Answer:
4.74 mm
Explanation:
Not very much. Even less with any friction.
Conservation of momentum during the collision
0.0162(850) + 40.0(0) = 40.0162v
v = 0.344 m/s
The kinetic energy of the block/bullet mass will convert to spring potential energy.
½kx² = ½mv²
x = √(mv²/k)
x = √(40.0162(0.344²) / 1000)
x = 0.0047384… m