A 5.00-g bullet moving with an initial speed of v0 = 380 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 850 N/m. Two diagrams are shown, depicting a block and bullet before and after a collision between them. In both diagrams, the right-facing face of the cubical block is attached to the left end of a horizontal spring, and the right end of the spring is attached to a wall. The block sits on a horizontal surface. In the first diagram, the bullet is to the left of the block and moves to the right with speed v0. The block is at rest and the spring is uncompressed. In the second diagram, the bullet has passed through the block and is now to the right of the block, with velocity vector v. The bullet's speed after collision is less than v0. The block has moved to the right by 5.00 cm, compressing the spring.

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Chapter1: Units, Trigonometry. And Vectors
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A 5.00-g bullet moving with an initial speed of v0 = 380 m/s is fired into and passes through a 1.00-kg block, as in the figure below. The block, initially at rest on a frictionless horizontal surface, is connected to a spring with a spring constant of 850 N/m.

Two diagrams are shown, depicting a block and bullet before and after a collision between them. In both diagrams, the right-facing face of the cubical block is attached to the left end of a horizontal spring, and the right end of the spring is attached to a wall. The block sits on a horizontal surface.
  • In the first diagram, the bullet is to the left of the block and moves to the right with speed v0. The block is at rest and the spring is uncompressed.
  • In the second diagram, the bullet has passed through the block and is now to the right of the block, with velocity vector v. The bullet's speed after collision is less than v0. The block has moved to the right by 5.00 cm, compressing the spring.
(a) If the block moves 5.00 cm to the right after impact, find the speed at which the bullet emerges from the block.
 m/s

(b) If the block moves 5.00 cm to the right after impact, find the mechanical energy lost in the collision.
 J
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