A 14.2 g bullet is shot vertically into a 2.64 kg block. When the bullet penetrates the block, it comes to rest in a time interval of 1.12 ms. The block lifts upward 9.30 mm vertically with the bullet embedded. Ignore air resistance and ignore the force of gravity during

Elements Of Electromagnetics
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**Physics Problem: Inelastic Collision and Energy Conservation**

A 14.2 g bullet is shot vertically into a 2.64 kg block. When the bullet penetrates the block, it comes to rest in a time interval of 1.12 ms. The block lifts upward 9.30 mm vertically with the bullet embedded. Ignore air resistance and ignore the force of gravity during the 1.12 ms embedding time. 

Find:
(A) the initial kinetic energy of the bullet before the collision and 
(B) find the percentage of this energy lost as heat during the collision. 
After your calculations, 
(C) show that it was a good approximation to ignore the force of gravity during the 1.12 ms it took the bullet to come to rest in the block.

**Diagram Explanation:**

The diagram shows a bullet moving vertically upward into a block. The block is represented as a large rectangular shape, with the bullet depicted below it in its path of motion. An arrow pointing upward indicates the direction of the bullet's velocity as it moves towards the block. The motion is taking place within a cylindrical boundary represented by shaded lines.
Transcribed Image Text:**Physics Problem: Inelastic Collision and Energy Conservation** A 14.2 g bullet is shot vertically into a 2.64 kg block. When the bullet penetrates the block, it comes to rest in a time interval of 1.12 ms. The block lifts upward 9.30 mm vertically with the bullet embedded. Ignore air resistance and ignore the force of gravity during the 1.12 ms embedding time. Find: (A) the initial kinetic energy of the bullet before the collision and (B) find the percentage of this energy lost as heat during the collision. After your calculations, (C) show that it was a good approximation to ignore the force of gravity during the 1.12 ms it took the bullet to come to rest in the block. **Diagram Explanation:** The diagram shows a bullet moving vertically upward into a block. The block is represented as a large rectangular shape, with the bullet depicted below it in its path of motion. An arrow pointing upward indicates the direction of the bullet's velocity as it moves towards the block. The motion is taking place within a cylindrical boundary represented by shaded lines.
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