Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.
Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.
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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Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.
Transcribed Image Text:The diagram illustrates a collision scenario involving three particles, each with mass \( m \).
- The initial green particle on the left, with mass \( m \), is moving towards the right with a velocity \( v_1 \).
- The central blue particle, also with mass \( m \), is initially at rest with a velocity \( v_2 = 0 \).
- After the collision, two particles (one green and one blue, both with mass \( m \)) move away at angles from the original line of motion. Both outgoing particles have velocity vectors shown by black arrows pointing diagonally upward (for the green particle) and downward (for the blue particle).
This diagram represents a two-dimensional elastic collision. The initial motion and velocities imply conservation of momentum and kinetic energy principles are at work.
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