Question

We are studying elastic collisions. There is this system of equations problem where we are solving for the first and second final velocities. Help!

equations: m1v1,i+m2v2i = m1v1f+m2v2f
0.5m1v1i^2+0.5m2v2i^2 = 0.5m1v1f^2 + 0.5m1v1f^2

Givens: m1= 2kg
m2=3kg
v1,i= 4m/s
v2,i=-5m/s
unknown:
v1,f= ?
v2,f=?
Please help!

Answer 1

So u hv 2 equations and u hv 2 unknown parameter.

Answer 2

So its possible to find out v1f and v2f

Answer 3

After putting ur given values we can write
2*4+3*5=2*v1f+3*v2f
8+15=2*v1f+3*v2f
23=2*v1f+3*v2f..........(1)

Answer 4

Now ur second equation
0.5*2*4^2+0.5*3*5^2=0.5*2*v1f^2+0.5*3*v2f^2
16+37.5=v1f^2+1.5*v2f^2.........(2)

Answer 5

Now these 2 equtions for getting the value of v1f=?
v2f=?

Answer 6

Response plz!!!!!!

Answer 7

Sorry, I was gone basically it means m1v1i+m2v2i = m1vlf+m2v2i we dont know the final and initial velocities but if you plug it in for both we can find the other two. But I get it now it was simple enough. Since we have only two things we dont know and three things we know it is solvable.