A mine car (mass=430 kg) rolls at a speed of 0.50 m/s on a horizontal track, as the drawing shows. A 110-kg chunk of coal has a speed of 1.0 m/s when it leaves the chute. Determine the speed of the car-coal system after the coal has come to rest in the car. 25.0° 110 kg 1.0 m/s 430 kg 0.50 m/s

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### Problem Description

A mine car (mass = 430 kg) rolls at a speed of 0.50 m/s on a horizontal track, as depicted in the illustration. A 110-kg chunk of coal has a speed of 1.0 m/s when it leaves the chute. Determine the speed of the car-coal system after the coal has come to rest in the car.

### Diagram Explanation

The image depicts two main components:

1. **Coal Chute:**
   - Inclined at an angle of 25.0° with the horizontal.
   - Releases a 110-kg chunk of coal at a speed of 1.0 m/s directed downwards along the incline.

2. **Mine Car:**
   - Shown on a horizontal track.
   - Has a mass of 430 kg and moves at a speed of 0.50 m/s to the right along the track.

### Objective

Calculate the final speed of the combined system (mine car + coal) after the coal comes to rest inside the car.
Transcribed Image Text:### Problem Description A mine car (mass = 430 kg) rolls at a speed of 0.50 m/s on a horizontal track, as depicted in the illustration. A 110-kg chunk of coal has a speed of 1.0 m/s when it leaves the chute. Determine the speed of the car-coal system after the coal has come to rest in the car. ### Diagram Explanation The image depicts two main components: 1. **Coal Chute:** - Inclined at an angle of 25.0° with the horizontal. - Releases a 110-kg chunk of coal at a speed of 1.0 m/s directed downwards along the incline. 2. **Mine Car:** - Shown on a horizontal track. - Has a mass of 430 kg and moves at a speed of 0.50 m/s to the right along the track. ### Objective Calculate the final speed of the combined system (mine car + coal) after the coal comes to rest inside the car.
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