Physics
7th Edition
ISBN: 9780321929013
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 7, Problem 47P
An atomic nucleus of mass m traveling with speed v collides elastically with a target particle of mass 2m (initially at rest) and is scattered at 90°. (a) At what angle does the target particle move after the collision? (b) What are the final speeds of the two particles? (c) What fraction of the initial kinetic energy is transferred to the target particle?
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Subatomic particle A with mass m traveling with speed v collides elastically with subatomic particle B of mass 2m that is initially at rest. Particle A is scattered at an angle of 90 to its initial direction of travel.
(a) At what angle to the initial direction of travel of particle A does particle B move after the collision?
(answer: 30)
(b) What are the final speeds of the particles? (answer: vfinal = v/ for both particles)
(c) What fraction of the initial kinetic energy of particle A is transferred to particle B? (answer: 2/3)
Hint 1: Draw a Cartesian coordinate system and have particle A move initially in the positive (or negative, it doesn’t make a difference) x-direction.
Hint 2: At some point you should get the relationship cos2 - sin2 = ½. To solve this for , you can write cos2 - sin2 as 2cos2 - (cos2 - sin2) = 2cos2 - 1 using the trigonometric identity cos2 + sin2 = 1.
Hint 3: It is helpful to write cos30 as cos30 = rather than use the decimal value of…
A particle with mass mA is struck head-on by another particle with mass mB that is initially moving at speed v0. The collision is elastic.
(a) What percentage of the original energy does each particle have after the collision?
(b) For what values, if any, of the mass ratio mA/mB is the original kinetic energy shared equally by the two particles after the collision?
An object of mass m moves to the right with a speed v. It collides head-on with an object of mass 3m moving with speed v/3 in the opposite direction. If the two objects stick together, what is the speed of the combined object, of mass 4m, after the collision?
Chapter 7 Solutions
Physics
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Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY