3 pts A bullet of mass M1 strikes the block of mass M2 suspended by string. The collision is inelastic, and the block rises to the height of h. The system's total mass is M1+M2 after the collision and starts to swing like a pendulum. (a) Write the bullet's velocity equation in terms of M1, M2, g, and h. (b) What will be the velocity of the block+bullet system after the collision.

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**Projectile and Pendulum Motion Problem**

**Question 1:**

A bullet of mass M1 strikes the block of mass M2 suspended by string. The collision is inelastic, and the block rises to the height of h. The system's total mass is M1 + M2 after the collision and starts to swing like a pendulum.

(a) Write the bullet's velocity equation in terms of M1, M2, g, and h.

(b) What will be the velocity of the block + bullet system after the collision?

**Explanation of the Problem:**

1. **Scenario Description**:
   - You have a bullet (mass M1) and a block (mass M2) suspended by a string.
   - The bullet strikes the block and embeds itself in the block, indicating an inelastic collision.
   - The block rises to a height h post-collision, swinging in a pendulum-like fashion.

2. **Objective**:
   - To determine the initial velocity of the bullet and the velocity of the combined block and bullet system after the collision.

3. **Method**:
   - Using principles of conservation of momentum for the collision.
   - Applying the principle of conservation of energy to the swinging block+bullett system to relate height h to velocities.

**Note:**
Inelastic collision means that the objects stick together post-collision, combining their masses. The analysis of this problem typically involves splitting into two parts: momentum conservation during collision and energy conservation post-collision.
Transcribed Image Text:**Projectile and Pendulum Motion Problem** **Question 1:** A bullet of mass M1 strikes the block of mass M2 suspended by string. The collision is inelastic, and the block rises to the height of h. The system's total mass is M1 + M2 after the collision and starts to swing like a pendulum. (a) Write the bullet's velocity equation in terms of M1, M2, g, and h. (b) What will be the velocity of the block + bullet system after the collision? **Explanation of the Problem:** 1. **Scenario Description**: - You have a bullet (mass M1) and a block (mass M2) suspended by a string. - The bullet strikes the block and embeds itself in the block, indicating an inelastic collision. - The block rises to a height h post-collision, swinging in a pendulum-like fashion. 2. **Objective**: - To determine the initial velocity of the bullet and the velocity of the combined block and bullet system after the collision. 3. **Method**: - Using principles of conservation of momentum for the collision. - Applying the principle of conservation of energy to the swinging block+bullett system to relate height h to velocities. **Note:** Inelastic collision means that the objects stick together post-collision, combining their masses. The analysis of this problem typically involves splitting into two parts: momentum conservation during collision and energy conservation post-collision.
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