One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. In other words, they stick together after the collision and move off with a common velocity. Momentum is conserved. The speed of the object that is moving initially is 27 m/s. The masses of the two objects are 3.9 and 9.0 kg. Determine the final speed of the two-object system after the collision for the case (a) when the large-mass object is the one moving initially and the case (b) when the small-mass object is the one moving initially.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Collision and Momentum Conservation

**Scenario:**
One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. This means they stick together after the collision and move off with a common velocity. Momentum is conserved.

**Given:**
- Speed of the initially moving object: 27 m/s.
- Mass of object 1: 3.9 kg.
- Mass of object 2: 9.0 kg.

**Tasks:**
Determine the final speed of the two-object system after the collision in two cases:

**(a)** When the large-mass object (9.0 kg) is the one moving initially.

**(b)** When the small-mass object (3.9 kg) is the one moving initially.

**Inputs for Solution:**
- Text boxes are provided to input the final velocities (\( v_f \)) for both cases:
  - **(a) \( v_f = \)**
  - **(b) \( v_f = \)**

**Explanation:**
In both cases, use the principle of conservation of momentum to find the final velocity. Momentum before the collision equals momentum after the collision. Calculate separately for each scenario to find the final speed.
Transcribed Image Text:### Collision and Momentum Conservation **Scenario:** One object is at rest, and another is moving. The two collide in a one-dimensional, completely inelastic collision. This means they stick together after the collision and move off with a common velocity. Momentum is conserved. **Given:** - Speed of the initially moving object: 27 m/s. - Mass of object 1: 3.9 kg. - Mass of object 2: 9.0 kg. **Tasks:** Determine the final speed of the two-object system after the collision in two cases: **(a)** When the large-mass object (9.0 kg) is the one moving initially. **(b)** When the small-mass object (3.9 kg) is the one moving initially. **Inputs for Solution:** - Text boxes are provided to input the final velocities (\( v_f \)) for both cases: - **(a) \( v_f = \)** - **(b) \( v_f = \)** **Explanation:** In both cases, use the principle of conservation of momentum to find the final velocity. Momentum before the collision equals momentum after the collision. Calculate separately for each scenario to find the final speed.
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