A 200 g rubber ball is tied to a 1 meter long string and released from rest at an angle theta. It swings down and at the verybottom has a perfectly elastic collision with a 1 kg block. The block is resting on a frictionless surface and is connected to a 20-cm long spring with (k = 2000 N/m). After the collision, the spring compresses a maximum distance of 2 cm. From what angle was the rubber ball released? Draw any force diagrams to support your answer.

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A 200 g rubber ball is tied to a 1 meter long string and released from rest at an angle theta. It swings down and at the verybottom has a perfectly elastic collision with a 1 kg block. The block is resting on a frictionless surface and is connected to a 20-cm long spring with (k = 2000 N/m). After the collision, the spring compresses a maximum distance of 2 cm. From what angle was the rubber ball released? Draw any force diagrams to support your answer.

### Physics Experiment: Collision and Spring Compression

**Diagram Explanation:**
This diagram illustrates a physics experiment involving a pendulum, a block, and a spring. Here's a detailed breakdown of the components and their measurements:

1. **Pendulum:**
   - A mass of 200 grams (0.2 kilograms) hangs from a string.
   - The length of the string is 1 meter.
   - The mass is released from an initial angle \( \theta \) to swing downwards.

2. **Block:**
   - The block has a mass of 1 kilogram.
   - It is initially positioned 20 centimeters (0.2 meters) away from the spring.

3. **Spring:**
   - The spring is fixed at one end.
   - The block compresses the spring upon impact.

**Experiment Description:**
- The mass of 200 grams is displaced from its equilibrium position to an angle \( \theta \) and then released. 
- As the mass swings downwards, it collides with the 1-kilogram block.
- After the collision, the block slides and compresses the spring.
- The distance the spring is compressed depends on the energy transferred from the swinging mass to the block.

**Key Concepts:**
- **Conservation of Energy:** The potential energy of the pendulum mass converts into kinetic energy as it swings downwards.
- **Momentum Transfer:** During the collision, some momentum from the pendulum mass is transferred to the block.
- **Spring Compression:** The kinetic energy of the block compresses the spring, and this compression is governed by Hooke's Law.

This setup is often used to study principles of mechanics including conservation of energy, momentum, and the properties of springs.
Transcribed Image Text:### Physics Experiment: Collision and Spring Compression **Diagram Explanation:** This diagram illustrates a physics experiment involving a pendulum, a block, and a spring. Here's a detailed breakdown of the components and their measurements: 1. **Pendulum:** - A mass of 200 grams (0.2 kilograms) hangs from a string. - The length of the string is 1 meter. - The mass is released from an initial angle \( \theta \) to swing downwards. 2. **Block:** - The block has a mass of 1 kilogram. - It is initially positioned 20 centimeters (0.2 meters) away from the spring. 3. **Spring:** - The spring is fixed at one end. - The block compresses the spring upon impact. **Experiment Description:** - The mass of 200 grams is displaced from its equilibrium position to an angle \( \theta \) and then released. - As the mass swings downwards, it collides with the 1-kilogram block. - After the collision, the block slides and compresses the spring. - The distance the spring is compressed depends on the energy transferred from the swinging mass to the block. **Key Concepts:** - **Conservation of Energy:** The potential energy of the pendulum mass converts into kinetic energy as it swings downwards. - **Momentum Transfer:** During the collision, some momentum from the pendulum mass is transferred to the block. - **Spring Compression:** The kinetic energy of the block compresses the spring, and this compression is governed by Hooke's Law. This setup is often used to study principles of mechanics including conservation of energy, momentum, and the properties of springs.
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