Asked by paula
A steel ball of mass 8.0 kg and traveling at 3.0 m/s [E] has a head-on elastic collision with a brass ball which is at rest. After the collision, the velocity of the brass ball is 4.0 m/s [E]. Find:
a)the velocity of the steel ball after the collision
b) the mass of the brass ball
My work: I know its an elastic collision, but I have no idea how to solve for a problem that is missing mass and velocity :( any equations would be helpful!
a)the velocity of the steel ball after the collision
b) the mass of the brass ball
My work: I know its an elastic collision, but I have no idea how to solve for a problem that is missing mass and velocity :( any equations would be helpful!
Answers
Answered by
bobpursley
start with momentum: east direction
8*3+0=Brass*4 + 8 V
so brassmass=6-4V
Now conservation of energy:
1/2 8 *9=1/2 Brassmass*16+1/2 8 *V^2
ok, but in for brassmass, 6-4V
factor it into a quadratic, and use the quadratic equation to solve for V.
8*3+0=Brass*4 + 8 V
so brassmass=6-4V
Now conservation of energy:
1/2 8 *9=1/2 Brassmass*16+1/2 8 *V^2
ok, but in for brassmass, 6-4V
factor it into a quadratic, and use the quadratic equation to solve for V.
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