Question

Consider a completely inelastic collision in which a particle of mass m1 with initial velocity v collides head on with a particle of mass m2, initially at reat. (a) What fraction of the initial kinetic energy was lost? (b) View the collision from the center of mass frame and determine if the kinetic enegy of the colliding particle remain conserved.

Consider a completely inelastic collision in which a particle of mass with initial velocity collides head on with a particle of mass , initially at rest.(a) What fraction of the initial kinetic energy was lost? (b)View the collision from the center of mass frame and determine if the kinetic energy of the colliding particle remain conserved. (7-points)

Answer 1

de (a) K. E_linitially) - + poklu / 1 m₂ (0)2 2 zot'u i (TT 2 since momentum remain conserved i m, v + m₂ (o) v lm, + m2) Tu (M, + M2) KE (After Collision a. 12 'mo) (ut'mi 2 yoy'u FH- 2 (Put'u ) Jest KE lì) -(1) us zdy'u "ut'u m, v2 2 2 2 yottu 7 m, m2 CITY "wtime CS Scanned with CamScanner

.. Fraction of lost K. E # / m m₂ 82 cm, tm) 2 m, ut - Como Ma .m, the centre of (6) In the ge as taking origin mass frame, rest particle & between the particle. distance Xem = miram, o mitm2 m, m. je Xcm = mr m, + m₂ Vem = dXcm. I mitme dr dt dt A2 (moon i kelinitially) = { ¿1m, tms.) meu mitma CS Scanned with CamScanner

im 2 v. 2 (m, rm2) - liv 2 Since liv rem ain (زنا i. K. E conserved cs Scanned with CamScanner