A 1.30 kg block of wood sits on a frictionless horizontal surface is attached rigid support by a spring. A 0.011 kg bullet moving horizontally with speed of 323 m/s embeds itself within the block. As shown in Figure. The spring is at the equilibrium length before the bullet is embedded in the block. The bullet-block system comes to rest after compressing the spring a distance of 32 cm. Calculate the spring constant. M m

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A 1.30 kg block of wood sits on a frictionless horizontal surface and is attached to a rigid support by a spring. A 0.011 kg bullet moving horizontally with a speed of 323 m/s embeds itself within the block. As shown in the figure, the spring is at equilibrium length before the bullet is embedded in the block. The bullet-block system comes to rest after compressing the spring a distance of 32 cm. Calculate the spring constant.

**Diagram Explanation:**

The diagram illustrates the setup:

- *Left Side:* A bullet represented with a mass \(m\) and a velocity vector \(v\) indicating its horizontal movement.
- *Center:* A block marked with mass \(M\), positioned on a frictionless surface.
- *Right Side:* A spring with spring constant \(k\) is connected to the block on one side and to a rigid support on the other side.

The system depicts the initial conditions before the bullet embeds in the block, with the bullet moving towards the block and the spring in its relaxed state.
Transcribed Image Text:A 1.30 kg block of wood sits on a frictionless horizontal surface and is attached to a rigid support by a spring. A 0.011 kg bullet moving horizontally with a speed of 323 m/s embeds itself within the block. As shown in the figure, the spring is at equilibrium length before the bullet is embedded in the block. The bullet-block system comes to rest after compressing the spring a distance of 32 cm. Calculate the spring constant. **Diagram Explanation:** The diagram illustrates the setup: - *Left Side:* A bullet represented with a mass \(m\) and a velocity vector \(v\) indicating its horizontal movement. - *Center:* A block marked with mass \(M\), positioned on a frictionless surface. - *Right Side:* A spring with spring constant \(k\) is connected to the block on one side and to a rigid support on the other side. The system depicts the initial conditions before the bullet embeds in the block, with the bullet moving towards the block and the spring in its relaxed state.
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