质量为m速度为v的A球跟质量为3m静止的B球发生正碰.碰撞是弹性的,或非弹性,碰撞后B球的速度可能为?
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弹性碰撞:
m * V = m * V1 + 3m * V2
(1/2) * m * V^2 = (1/2) * m * V1^2 + (1/2) * 3m * V2^2
===========>
V = V1 + 3*V2
V^2 = V1^2 + 3*V2^2
==========>
V1 = -0.5V
V2 = 0.5V
完全非弹性:
m * V = (m + 3m) * V2
V2 = (1/4)*V
一般非弹性:
(1/4)V < V2 < (1/2)V
m * V = m * V1 + 3m * V2
(1/2) * m * V^2 = (1/2) * m * V1^2 + (1/2) * 3m * V2^2
===========>
V = V1 + 3*V2
V^2 = V1^2 + 3*V2^2
==========>
V1 = -0.5V
V2 = 0.5V
完全非弹性:
m * V = (m + 3m) * V2
V2 = (1/4)*V
一般非弹性:
(1/4)V < V2 < (1/2)V
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