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Reviewed CSCA Physics question · Easy

一个质量为1 kg的物体从离地面高5 m处由静止开始自由下落,不计空气阻力,重力加速度取10 m/s²。求物体落地时的速度大小。

  1. 5 m/s
  2. 10 m/s
  3. 14 m/s
  4. 20 m/s
Show the answer and explanation

Correct answer

B. 10 m/s

Principle or equation

机械能守恒定律:只有重力做功时,动能和势能相互转化,总机械能不变。mgh = (1/2)mv²。

Why this answer is correct

由 mgh = 1/2 mv² 得 v = √(2gh) = √(2×10×5) = √100 = 10 m/s。

Example

若高度为20 m,则落地速度 v = √(2×10×20) = 20 m/s。

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