A mine car, whose mass is m1 = 441 kg, rolls at a speed of v1 = 0.517 m/s on a horizontal track, as the drawing below shows. An m2 = 164 kg chunk of coal has a speed of v2 = 0.815 m/s when it leaves the chute. Assume θ = 27.5°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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A mine car, whose mass is m1 = 441 kg, rolls at a speed of v1 = 0.517 m/s on a horizontal track, as the drawing below shows. An m2 = 164 kg chunk of coal has a speed of v2 = 0.815 m/s when it leaves the chute. Assume θ = 27.5°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

The image illustrates a physics scenario involving motion on an inclined plane and subsequent interaction with a cart. Here's a detailed breakdown:

1. **Inclined Plane**:
   - An angular inclined plane is depicted on the left side. The angle of inclination is denoted by the symbol \(\theta\).

2. **Objects in Motion**:
   - A mass labeled \(m_2\) is shown as a rock-like object moving downwards with a velocity vector denoted as \(v_2\).
   - The velocity vector is represented with a red arrow pointing downwards and slightly to the right, indicating the direction of motion.

3. **Cart**:
   - A cart, labeled with a mass \(m_1\), is positioned on the right side of the image.
   - The cart is moving horizontally with a velocity vector \(\mathbf{v_1}\), pointing to the right, parallel to the ground.

This setup can be used to explore concepts such as momentum, collisions, and the effects of inclines on motion.
Transcribed Image Text:The image illustrates a physics scenario involving motion on an inclined plane and subsequent interaction with a cart. Here's a detailed breakdown: 1. **Inclined Plane**: - An angular inclined plane is depicted on the left side. The angle of inclination is denoted by the symbol \(\theta\). 2. **Objects in Motion**: - A mass labeled \(m_2\) is shown as a rock-like object moving downwards with a velocity vector denoted as \(v_2\). - The velocity vector is represented with a red arrow pointing downwards and slightly to the right, indicating the direction of motion. 3. **Cart**: - A cart, labeled with a mass \(m_1\), is positioned on the right side of the image. - The cart is moving horizontally with a velocity vector \(\mathbf{v_1}\), pointing to the right, parallel to the ground. This setup can be used to explore concepts such as momentum, collisions, and the effects of inclines on motion.
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