The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 2.4i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 19° and the six ball is deflected by an angle of Φ = 25.5°, as shown in the figure.Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v. What is the magnitude of the velocity, in meters per second, of the six ball? What is the magnitude of the velocity of the eight ball, in meters per second, after the collision? The image depicts a physics diagram illustrating a collision scenario involving billiard balls, labeled "8" and "6". - The black ball, labeled "8", is moving with an initial velocity \( V \) in the positive direction along the x-axis.- The green ball, labeled "6", is stationary at the origin of a coordinate system, defined by the x-axis and y-axis.Post-collision, the diagram shows two possible paths:1. **Path of Ball "8":** This path makes an angle \( \theta \) with the x-axis.2. **Path of Ball "6":** This path makes an angle \( \Phi \) with the x-axis.Dotted lines represent the possible trajectories, and angles \( \theta \) and \( \Phi \) indicate the deviation from the original direction of motion due to the collision. This setup is commonly used to study the physics of two-dimensional elastic collisions.

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Description: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 2.4i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle

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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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The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 2.4i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 19° and the six ball is deflected by an angle of Φ = 25.5°, as shown in the figure.

Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v.

What is the magnitude of the velocity, in meters per second, of the six ball?

What is the magnitude of the velocity of the eight ball, in meters per second, after the collision?

The image depicts a physics diagram illustrating a collision scenario involving billiard balls, labeled "8" and "6".

- The black ball, labeled "8", is moving with an initial velocity \( V \) in the positive direction along the x-axis.
- The green ball, labeled "6", is stationary at the origin of a coordinate system, defined by the x-axis and y-axis.

Post-collision, the diagram shows two possible paths:

1. **Path of Ball "8":** This path makes an angle \( \theta \) with the x-axis.
2. **Path of Ball "6":** This path makes an angle \( \Phi \) with the x-axis.

Dotted lines represent the possible trajectories, and angles \( \theta \) and \( \Phi \) indicate the deviation from the original direction of motion due to the collision. This setup is commonly used to study the physics of two-dimensional elastic collisions.

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