A 8.77-g bullet is moving horizontally with a velocity of + 345 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1169 g, and its velocity is + 0.593 m/s after the bullet passes through it. The mass of the second block is 1640 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision.

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A 8.77-g bullet is moving horizontally with a velocity of + 345 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1169 g, and its velocity is + 0.593 m/s after the bullet passes through it. The mass of the second block is 1640 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision.

The diagram illustrates a two-part scenario of a collision involving two blocks and a bullet.

**(a) Before Collision**

- A bullet is moving towards the right with a velocity of \(+345 \, \text{m/s}\).
- The bullet is approaching "Block 1", which is stationary.
- "Block 2" is also stationary and positioned to the right of "Block 1".

**(b) After Collision**

- After the collision, "Block 1" moves to the right with a velocity of \(+0.593 \, \text{m/s}\).
- A bullet is embedded in "Block 2", which moves to the right with velocity \(v_{\text{block 2}}\) (not specified numerically on the diagram).
- The mass of "Block 1" is \(1169 \, \text{g}\).
- The mass of "Block 2" is \(1640 \, \text{g}\).
- The mass of the bullet is \(8.77 \, \text{g}\).

This diagram is useful for analyzing the principles of conservation of momentum before and after a collision in physics.
Transcribed Image Text:The diagram illustrates a two-part scenario of a collision involving two blocks and a bullet. **(a) Before Collision** - A bullet is moving towards the right with a velocity of \(+345 \, \text{m/s}\). - The bullet is approaching "Block 1", which is stationary. - "Block 2" is also stationary and positioned to the right of "Block 1". **(b) After Collision** - After the collision, "Block 1" moves to the right with a velocity of \(+0.593 \, \text{m/s}\). - A bullet is embedded in "Block 2", which moves to the right with velocity \(v_{\text{block 2}}\) (not specified numerically on the diagram). - The mass of "Block 1" is \(1169 \, \text{g}\). - The mass of "Block 2" is \(1640 \, \text{g}\). - The mass of the bullet is \(8.77 \, \text{g}\). This diagram is useful for analyzing the principles of conservation of momentum before and after a collision in physics.
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