Particles of constant mass m, and m, interact with each other and are also subjectto external forces. The interparticle forces are F12 (the force that 1 exerts on 2) andF1 (the force that 2 exerts on 1). The external forces are Fe) and Fe). The frame ofreference is assumed to be inertial.(a) Use the equations of motion to show thatMdt2FO,(1)whereM = m,+ m2 ,F) = F + F(2)%3Dare the total mass and the total external force, and(m,r, + m,r,)R =(3)M(b) Interpret this result.

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Particles of constant mass m, and m, interact with each other and are also subject to external forces. The interparticle forces are F12 (the force that 1 exerts on 2) and F21 (the force that 2 exerts on 1). The external forces are F) and Fe). The frame of reference is assumed to be inertial. (a) Use the equations of motion to show that M = F®, (1) dt2 where M = m, + m, F) = F + F (2) are the total mass and the total external force, and

Particles of constant mass m, and m, interact with each other and are also subject to external forces. The interparticle forces are F12 (the force that 1 exerts on 2) and F21 (the force that 2 exerts on 1). The external forces are F) and Fe). The frame of reference is assumed to be inertial. (a) Use the equations of motion to show that M = F®, (1) dt2 where M = m, + m, F) = F + F (2) are the total mass and the total external force, and

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.9P

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