A particle of mass m and velocity u collides elastically with a particle of mass M initially at rest. As a result of the collision, the particle of mass m is deflected 90 ° and its speed reduced to uv3. The particle of mass M, recoils with a velocity v forming an angle 0 with the original direction of m. All angles and speeds are observed in the laboratory system. Obtain the value of M as a function of m, v, u, and 0. At what angles are the particles deflected in the center of mass system? M = 2m, v = u/V3,0 = 1/6; Öm = 2n/3,0M = 5t/3 ans.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
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A particle of mass m and velocity u collides elastically with a particle of mass M initially at rest. As a
result of the collision, the particle of mass m is deflected 90 ° and its speed reduced to uv3. The
particle of mass M, recoils with a velocity v forming an angle 0 with the original direction of m. All
angles and speeds are observed in the laboratory system. Obtain the value of M as a function of m,
v, u, and 0. At what angles are the particles deflected in the center of mass system?
М - 2т, v — и/3,0 — п/6; бл — 2п/3,бм — 5л/3
m
ans.
Transcribed Image Text:A particle of mass m and velocity u collides elastically with a particle of mass M initially at rest. As a result of the collision, the particle of mass m is deflected 90 ° and its speed reduced to uv3. The particle of mass M, recoils with a velocity v forming an angle 0 with the original direction of m. All angles and speeds are observed in the laboratory system. Obtain the value of M as a function of m, v, u, and 0. At what angles are the particles deflected in the center of mass system? М - 2т, v — и/3,0 — п/6; бл — 2п/3,бм — 5л/3 m ans.
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