Question

A 3 kg object moves to the right at 4 m/sec. It collides head-on with a 6 kg object moving to the left at 2 m/sec. If the collision is elastic, find the velocity (speed and direction) of each object after the collision?

Answer 1

Solh a man m = 3 kg movex right with Velocity U= 4im and collides with mos mj =-6k which is moving towerda ulocity ♡ = - zima byt hena initial momentum af system Pi=344i-6x21=0 with vi mi m2 m₂ Piro conservation of Linear momentom, =0 of ter collision their 8. Velocities are u and Vq respectively m, vm, = = P;=0 P;=o. { 35+ 6 ore v=-2 v = 415412. As collixion is elastic the initial Kinetic ening Ki = final Kinetic eneryg K;= 1.m, ve + tm uz ² Kf = Ini u 2 + 1 M2 O 2. 2 Ki=Kf VA 2 2 1,+ 20.2= V2+ 2012 , Lt but V4= 4. 2 2 ve V = 24 V =+4mly 4+2x22 - V+ = + - † 2ml - 4imle (towards left) Va = 2i mls (towarda right) 1 731 = 4 m/x ITA) = 2mla