The momentum of a moving object:
Conservation of momentum:
Conservation of kinetic energy:
The objects separate after the collision.
Using conservation of momentum and the variables m1 = 2m, m2 = m, v0,1 = v, v0,2 = 0, vf,1 = v1 and vf,2 = v2.
2mv + m(0) = 2mv1 + mv2
v2 = (2v - 2v1) =
v2 = 2(v - v1) --------- Eqn 1
Using conservation of energy:
(1/2)2mv2 = (1/2)2mv12 + (1/2)mv22
v2 = v12 + (1/2)v22
Let two objects of equal mass m collide. Object 1 has initial velocity v, directed to the right, and object 2 is initially stationary.
Now assume that the mass of object 1 is 2m, while the mass of object 2 remains m. If the collision is elastic, what are the final velocities v1 and v2 of objects 1 and 2.
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