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力与加速度

在粗糙表面上推一个木块:决定加速度的是合力,而不是施加的力。

只想算个结果? 物理公式

速度-时间

发生了什么

摩擦力阻碍运动,大小为 μmg。施加的力小于它时,木块保持不动或逐渐减速。超过它之后,合力 F − μmg 使物体加速,速度-时间图变成一条直线,斜率正好是 a = Fnet/m。

  • Newton's second law with frictiona = (F − μmg) / m

考试大纲

  • GCSE Physics AQA 4.5.6, Edexcel, OCRresultant forces, Newton's second law and friction
  • A-Level Maths mechanicsF = ma with friction

挑战

先预测:m = 5 kg、μ = 0.4 时,施加多大的力木块才会开始运动?先算出 μmg,再来验证。

系统地学

GCSE Combined and Separate Science 中讲这个主题的课:先看分步讲解,再做考试风格的题目,每次数字都不同。 课程为英文。

查看整门课程完整课程、单元测试和模拟试卷包含在 Plus 中。 了解 Plus

常见问题

What is Newton's second law?

The resultant force on an object equals its mass times its acceleration, F = ma. Double the resultant force and the acceleration doubles; double the mass and it halves.

Why doesn't the block move when I push gently?

Friction matches your push up to a limit of μs times the weight. Only when the applied force beats that limit does a resultant force appear and the block starts to accelerate.

Why is the velocity-time graph a straight line?

With a constant resultant force the acceleration is constant, and acceleration is the gradient of a velocity-time graph.

How much force do I need for a given acceleration with friction?

Add the force for the acceleration to the friction: F = m(a + μg). A 5 kg block with μ = 0.2 needs F = 5 × (2 + 0.2 × 9.8) = 19.8 N to accelerate at 2 m/s². That is more than the 9.8 N of static grip, so it does get going. Pick Force needed under Solve for to see each step.