Question

? 2M 3.M An object of mass 3M, moving in the +x direction at speed Do, breaks into two pieces of mass M and 2M as shown in the figure If 0, = 66.0 and 02 = 23.0", determine the final velocities 1, and v, of the resulting pieces in terms of . DI DO Do

Answer 1

So we use conservation of linear momentum in horizontal and vertical direction so we write

in horizontal direction

$3Mv_0= 2Mv_2cos\theta_2+Mv_1cos\theta_1$

$3v_0= 2v_2cos\theta_2+v_1cos\theta_1$

and in vertical directon

$0= 2Mv_2sin\theta_2-Mv_1sin\theta_1$

so

2uzsin 2 visine

so, plug in value we get

$v_2=1.17v_1$

so using this in 1st eqiuation

we get

and using this