Physics 107 homework assignment #7 Cutnell & Johnson, 7th



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The minus sign in vf1 indicates that the first ball reverses its direction as a result of the collision.


c. If we apply the conservation of mechanical energy to either ball after the collision we
have


where v0 is the speed of the ball just after the collision, and hf is the final height to which the ball rises. For either ball, h0 = 0 m, and when either ball has reached its maximum height, vf = 0 m/s. Therefore, the expression of energy conservation reduces to

Thus, the heights to which each ball rises after the collision are




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