A bullet of mass m = 8.00 g is fired into a block of mass M = 200 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 = 1.50 m from the bottom of the table. Determine the initial speed of the bullet. m/s M

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:**

A bullet of mass \( m = 8.00 \, \text{g} \) is fired into a block of mass \( M = 200 \, \text{g} \) that is initially at rest at the edge of a table of height \( h = 1.00 \, \text{m} \). The bullet remains in the block, and after the impact, the block lands \( d = 1.50 \, \text{m} \) from the bottom of the table. Determine the initial speed of the bullet.

\[ \text{______ m/s} \]

**Diagram Explanation:**

The accompanying diagram illustrates the scenario:

- A table is shown with a block of mass \( M \) positioned at its edge.
- The block is struck by a bullet with mass \( m \).
- The bullet is shown approaching the block with an arrow indicating direction and initial velocity.
- The height of the table, \( h \), is marked as 1.00 m.
- The distance \( d \), where the block lands from the table, is marked as 1.50 m.
- The path of the block after being struck by the bullet is indicated with a dashed arc from the table to the landing position. 

The goal is to calculate the initial speed of the bullet.
Transcribed Image Text:**Problem Description:** A bullet of mass \( m = 8.00 \, \text{g} \) is fired into a block of mass \( M = 200 \, \text{g} \) that is initially at rest at the edge of a table of height \( h = 1.00 \, \text{m} \). The bullet remains in the block, and after the impact, the block lands \( d = 1.50 \, \text{m} \) from the bottom of the table. Determine the initial speed of the bullet. \[ \text{______ m/s} \] **Diagram Explanation:** The accompanying diagram illustrates the scenario: - A table is shown with a block of mass \( M \) positioned at its edge. - The block is struck by a bullet with mass \( m \). - The bullet is shown approaching the block with an arrow indicating direction and initial velocity. - The height of the table, \( h \), is marked as 1.00 m. - The distance \( d \), where the block lands from the table, is marked as 1.50 m. - The path of the block after being struck by the bullet is indicated with a dashed arc from the table to the landing position. The goal is to calculate the initial speed of the bullet.
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