**42. A 1.00 × 10-²-kg bullet is fired horizontally into a 2.50-kg wooden block attached to one end of a massless horizontal spring (k = 845 N/m). The other end of the spring is fixed in place, and the spring is unstrained initially. The block rests on a horizontal, frictionless surface. The bullet strikes the block perpendicularly and quickly comes to a halt within it. As a result of this completely inelastic collision, the spring is compressed along its axis and causes the block/bullet to oscillate with an amplitude of 0.200 m. What is the speed of the bullet?

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**42. A 1.00 × 10-²-kg bullet is fired horizontally into a 2.50-kg wooden
block attached to one end of a massless horizontal spring (k = 845 N/m).
The other end of the spring is fixed in place, and the spring is unstrained
initially. The block rests on a horizontal, frictionless surface. The bullet
strikes the block perpendicularly and quickly comes to a halt within it.
As a result of this completely inelastic collision, the spring is compressed
along its axis and causes the block/bullet to oscillate with an amplitude
of 0.200 m. What is the speed of the bullet?
Transcribed Image Text:**42. A 1.00 × 10-²-kg bullet is fired horizontally into a 2.50-kg wooden block attached to one end of a massless horizontal spring (k = 845 N/m). The other end of the spring is fixed in place, and the spring is unstrained initially. The block rests on a horizontal, frictionless surface. The bullet strikes the block perpendicularly and quickly comes to a halt within it. As a result of this completely inelastic collision, the spring is compressed along its axis and causes the block/bullet to oscillate with an amplitude of 0.200 m. What is the speed of the bullet?
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