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
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
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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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a3ae1c8-051e-4079-962c-499964b6af7b%2Fa2a00f6e-25d4-49c7-9487-e680a6387801%2F4rbvul_processed.png&w=3840&q=75)
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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