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Reviewed CSCA Physics question · Standard

质量分别为2 kg和3 kg的两个小球,在光滑水平面上沿同一直线相向运动,速度大小分别为4 m/s和2 m/s。若碰撞后粘在一起,求碰后共同速度的大小。

  1. 0.4 m/s
  2. 0.8 m/s
  3. 1.2 m/s
  4. 2.0 m/s
Show the answer and explanation

Correct answer

A. 0.4 m/s

Principle or equation

动量守恒定律:m1v1 + m2v2 = (m1+m2)v。规定正方向后代入。

Why this answer is correct

取2 kg球速度方向为正,则总动量 p = 2×4 + 3×(-2) = 8 - 6 = 2 kg·m/s;碰后共同速度 v = p/(2+3) = 2/5 = 0.4 m/s,方向与正方向相同。

Example

若m1=1kg,v1=3m/s,m2=2kg,v2=-1m/s,则v=(3-2)/3=1/3 m/s。

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