Since the heavy particle remains fixed, before and after the motion of the lighter particle, it does not have any velocity, moreover, there is no spring involved, so KE16 + + + Unewf = + + + Unewi + (Equation 1) For all energies, we know the following KE= Am,m2 PEgrav r Uelastic = Unew = (1/ /(r where in we have m1 = m, m2 = M, q1 = q and q2 = Q By substituting all these to Equation 1 and then simplifying results to sqrt( 2 + ( ( %3D V m ) - ) - (1/x Take note that capital letters have different meaning than small letter variables/constants.
Since the heavy particle remains fixed, before and after the motion of the lighter particle, it does not have any velocity, moreover, there is no spring involved, so KE16 + + + Unewf = + + + Unewi + (Equation 1) For all energies, we know the following KE= Am,m2 PEgrav r Uelastic = Unew = (1/ /(r where in we have m1 = m, m2 = M, q1 = q and q2 = Q By substituting all these to Equation 1 and then simplifying results to sqrt( 2 + ( ( %3D V m ) - ) - (1/x Take note that capital letters have different meaning than small letter variables/constants.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
Section9.7: Relativistic Energy
Problem 9.6QQ: The following pairs of energiesparticle 1: E, 2E; particle 2: E, 3E; particle 3: 2E, 4Erepresent the...
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One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle?
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