Problem 3. (a) Show (as I will have done in class) that for two particles withonly a force between them (and the force of 2 on 1 we call f) then the motion isdescribed by an “internal" Newton's 2nd law,Vem = const, f= µŸrelwhere vrel = V1 – V2 = †1 – †2, andmįv1 + m2V2mi + m2mim2cmm1 + m2(Since Taylor calls ri – r2 simply r in Chapter 8, he would probably also callVrel simply v.)(b) Write an internal Lagrangian that yields this equation of motion.

Answered: Image /qna-images/answer/4feb5faa-9771-4a53-bc84-cac226a8b9d4.jpg

Problem 3. (a) Show (as I will have done in class) that for two particles with only a force between them (and the force of 2 on 1 we call f) then the motion is described by an "internal" Newton's 2nd law, Vem = const, f= µÝrel where vrel = V1 – v2 = r1 - r2, and mįvi + m2V2 m1 + m2 mim2 cm mi + m2 (Since Taylor calls ri - r2 simply r in Chapter 8, he would probably also call Vrel simply v.) (b) Write an internal Lagrangian that yields this equation of motion.

Problem 3. (a) Show (as I will have done in class) that for two particles with only a force between them (and the force of 2 on 1 we call f) then the motion is described by an "internal" Newton's 2nd law, Vem = const, f= µÝrel where vrel = V1 – v2 = r1 - r2, and mįvi + m2V2 m1 + m2 mim2 cm mi + m2 (Since Taylor calls ri - r2 simply r in Chapter 8, he would probably also call Vrel simply v.) (b) Write an internal Lagrangian that yields this equation of motion.