Block 1, of mass m1, moves across a frictionless surface with speed ui. It colli

Question

Block 1, of mass m1, moves across a frictionless surface with speed ui. It collides elastically with block 2, of mass m2, which is at rest (vi=0). (Figure 1) After the collision, block 1 moves with speed uf, while block 2 moves with speed vf. Assume that m1>m2, so that after the collision, the two objects move off in the direction of the first object before the collision.

Block 1, of mass m1, moves across a frictionless surface with speed ui. It collides elastically with block 2, of mass m2, which is at rest (vi=0). (Figure 1) After the collision, block 1 moves with speed uf, while block 2 moves with speed vf. Assume that m1>m2, so that after the collision, the two objects move off in the direction of the first object before the collision. Part B What is the final speed uf of block 1? Express uf in terms of m1, m2, and ui. Part C What is the final speed vf of block 2? Express vf in terms of m1, m2, and ui.

Explanation / Answer

m1*ui = m1*uf + m2*vf

and

1/2 m1*ui^2 = 1/2 m1*uf^2 + 1/2 *m2*vf^2

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