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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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
F1 (the force that 2 exerts on 1). The external forces are Fe) and Fe). The frame of
reference is assumed to be inertial.
(a) Use the equations of motion to show that
M
dt2
FO,
(1)
where
M = m,+ m2 ,
F) = F + F
(2)
%3D
are the total mass and the total external force, and
(m,r, + m,r,)
R =
(3)
M
(b) Interpret this result.

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