A bullet of mass m = 8.00 g is fired into a block of mass M = 280 g that is initially at rest at the edge of a table of height h = 1.00 m figure below). The bullet remains in the block, and after the impact the block lands d = 2.20 m from the bottom of the table. Determine initial speed of the bullet. m/s M

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**Title: Calculating the Initial Speed of a Bullet in a Momentum and Energy Experiment**

**Problem Statement:**

A bullet of mass \( m = 8.00 \) g is fired into a block of mass \( M = 280 \) g that is initially at rest at the edge of a table of height \( h = 1.00 \) m (see figure below). The bullet remains in the block, and after the impact, the block lands \( d = 2.20 \) m from the bottom of the table. Determine the initial speed of the bullet.

**Calculations:**

\[\text{Initial Speed of the Bullet:} \, \boxed{\phantom{m/s}} \]

**Figure Explanation:**

The figure associated with the problem consists of a diagram illustrating the setup of the experiment. It contains the following elements:

1. **Block and Bullet:**
   - A block of mass \( M \) is positioned at the edge of a table. The block is shown to be stationary initially.
   - A bullet of mass \( m \) is depicted in motion, approaching the block horizontally from the left side.

2. **Table Dimensions:**
   - The table has a vertical height \( h = 1.00 \) m.
   - The block is shown falling off the table upon impact, indicating the distance it travels horizontally, \( d = 2.20 \) m.

3. **Motion Arrows:**
   - An arrow indicates the direction of the bullet's motion towards the block.
   - A curved, dashed trajectory visually represents the path taken by the block and bullet combination after the bullet impacts the block and they both fall off the table.

These elements combine to visually explain the mechanics of the collision and subsequent fall, providing a clear understanding of the problem setup for calculating initial bullet speed using principles of conservation of momentum and projectile motion.
Transcribed Image Text:**Title: Calculating the Initial Speed of a Bullet in a Momentum and Energy Experiment** **Problem Statement:** A bullet of mass \( m = 8.00 \) g is fired into a block of mass \( M = 280 \) g that is initially at rest at the edge of a table of height \( h = 1.00 \) m (see figure below). The bullet remains in the block, and after the impact, the block lands \( d = 2.20 \) m from the bottom of the table. Determine the initial speed of the bullet. **Calculations:** \[\text{Initial Speed of the Bullet:} \, \boxed{\phantom{m/s}} \] **Figure Explanation:** The figure associated with the problem consists of a diagram illustrating the setup of the experiment. It contains the following elements: 1. **Block and Bullet:** - A block of mass \( M \) is positioned at the edge of a table. The block is shown to be stationary initially. - A bullet of mass \( m \) is depicted in motion, approaching the block horizontally from the left side. 2. **Table Dimensions:** - The table has a vertical height \( h = 1.00 \) m. - The block is shown falling off the table upon impact, indicating the distance it travels horizontally, \( d = 2.20 \) m. 3. **Motion Arrows:** - An arrow indicates the direction of the bullet's motion towards the block. - A curved, dashed trajectory visually represents the path taken by the block and bullet combination after the bullet impacts the block and they both fall off the table. These elements combine to visually explain the mechanics of the collision and subsequent fall, providing a clear understanding of the problem setup for calculating initial bullet speed using principles of conservation of momentum and projectile motion.
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