You are at the controls of a particle accelerator sending a beam of 1.50 x 107 m/s protons (mass m) at a gas target of an unknown element. Your detector tells you that some protons bounce straight back after a collision with one of the nuclei of the unknown element. All such protons rebound with a speed of 1.2 x 10' m/s. Assume that the initial speed of the target nucleus is negligible and the collision is elastic. A. Find the mass of one nucleus of the unknown element in terms of the proton mass m. B. What is the speed of the unknown nucleus immediately after such a collision? C. Show that the total kinetic energy is the same before and after the collision.

Sustainable Energy
2nd Edition
ISBN:9781337551663
Author:DUNLAP, Richard A.
Publisher:DUNLAP, Richard A.
Chapter5: Some Basic Nuclear Physics
Section: Chapter Questions
Problem 15P
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The priority to answer is letter C.

The correct answer in A and B is

a. m=9m

b. v2f = 3.00 × 106 m/s

You are at the controls of a particle accelerator sending a beam of 1.50 x 107 m/s
protons (mass m) at a gas target of an unknown element. Your detector tells you
that some protons bounce straight back after a collision with one of the nuclei of
the unknown element. All such protons rebound with a speed of 1.2 x 10' m/s.
Assume that the initial speed of the target nucleus is negligible and the collision is
elastic.
A. Find the mass of one nucleus of the unknown element in terms of the proton
mass m.
B. What is the speed of the unknown nucleus immediately after such a collision?
C. Show that the total kinetic energy is the same before and after the collision.
Transcribed Image Text:You are at the controls of a particle accelerator sending a beam of 1.50 x 107 m/s protons (mass m) at a gas target of an unknown element. Your detector tells you that some protons bounce straight back after a collision with one of the nuclei of the unknown element. All such protons rebound with a speed of 1.2 x 10' m/s. Assume that the initial speed of the target nucleus is negligible and the collision is elastic. A. Find the mass of one nucleus of the unknown element in terms of the proton mass m. B. What is the speed of the unknown nucleus immediately after such a collision? C. Show that the total kinetic energy is the same before and after the collision.
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