Starting with an initial speed of 5.00 m/s at a height of 0.300 m, a 1.50-kg ball swings downward and strikes a 2.60-kg ball that is at rest, as the drawing shows.

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Starting with an initial speed of 5.00 m/s at a height of 0.300 m, a 1.50-kg ball swings downward and strikes a 2.60-kg ball that is at rest, as the drawing shows.

### Physics Problem: Collision and Motion

**Diagram Explanation:**

The diagram shows a pendulum setup with two balls. A 1.50 kg ball hangs from a string and is initially at a height of 0.300 meters above the ground. It swings downwards with an initial speed of 5.00 m/s. This ball is on a collision course with a second ball, which is 2.60 kg and initially at rest.

**Problem Statement:**

1. **Scenario:**
   - A 1.50 kg ball swings downward from a height of 0.300 m with an initial speed of 5.00 m/s and hits a 2.60 kg ball that is at rest.

2. **Tasks:**
   a. Calculate the speed of the 1.50 kg ball just before it strikes the 2.60 kg ball.
   
   b. If the collision is completely inelastic (the balls stick together), determine the post-collision velocities (magnitude and direction) of both balls.
   
   c. Calculate how high the combined mass of the balls swings after the collision, ignoring air resistance.

This setup demonstrates the principles of conservation of energy and momentum in physics.
Transcribed Image Text:### Physics Problem: Collision and Motion **Diagram Explanation:** The diagram shows a pendulum setup with two balls. A 1.50 kg ball hangs from a string and is initially at a height of 0.300 meters above the ground. It swings downwards with an initial speed of 5.00 m/s. This ball is on a collision course with a second ball, which is 2.60 kg and initially at rest. **Problem Statement:** 1. **Scenario:** - A 1.50 kg ball swings downward from a height of 0.300 m with an initial speed of 5.00 m/s and hits a 2.60 kg ball that is at rest. 2. **Tasks:** a. Calculate the speed of the 1.50 kg ball just before it strikes the 2.60 kg ball. b. If the collision is completely inelastic (the balls stick together), determine the post-collision velocities (magnitude and direction) of both balls. c. Calculate how high the combined mass of the balls swings after the collision, ignoring air resistance. This setup demonstrates the principles of conservation of energy and momentum in physics.
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