📚 GCSE CIE Physics: Newton's Laws Key Points | GCSE CIE 物理:牛顿定律 考点精讲
Newton's three laws of motion form the backbone of classical mechanics. For CIE IGCSE Physics, a clear understanding of these laws, how to apply them to real-world situations, and the distinction between related concepts like mass and weight is absolutely essential. This article breaks down all the key points you need to master for the exam.
牛顿三大运动定律构成了经典力学的核心。对于 CIE IGCSE 物理考试,清晰理解这些定律、学会如何将它们应用到实际问题中,并区分质量与重量等相关概念,是取得高分的关键。本文将逐一拆解所有必考点。
1. Newton's First Law (Law of Inertia) | 牛顿第一定律(惯性定律)
An object will remain at rest or continue to move at a constant velocity unless acted upon by a resultant (net) external force. If the forces on an object are balanced, its state of motion does not change. This property of an object to resist changes in its motion is called inertia. The greater an object's mass, the greater its inertia.
除非受到合外力的作用,物体将保持静止或以恒定速度沿直线运动。如果作用在物体上的力是平衡的,它的运动状态就不会改变。物体抵抗运动状态变化的这种性质称为惯性。物体的质量越大,其惯性越大。
2. Newton's Second Law (F = m a) | 牛顿第二定律(F = m a)
The resultant force acting on an object is directly proportional to the rate of change of its momentum, but for cases where mass is constant, it simplifies to Fnet on in the direction of the net force. Acceleration is inversely proportional to mass for the same net force.
作用在物体上的合外力与其动量的变化率成正比。在质量不变的情况下,可以简化为 F合 = m a。合外力会产生一个沿该力方向的加速度。在相同的合外力下,加速度与质量成反比。
Fnet = m a, where F is in newtons (N), m in kilograms (kg), a in m/s²
F合 = m a,其中 F 的单位是牛顿 (N),m 是千克 (kg),a 是米/秒² (m/s²)
3. Newton's Third Law (Action-Reaction) | 牛顿第三定律(作用力与反作用力)
Whenever object A exerts a force on object B, object B simultaneously exerts a force on object A that is equal in magnitude and opposite in direction. These two forces act on different bodies and are of the same type. Remember: paired forces never cancel out because they act on different objects.
当物体 A 对物体 B 施加一个力时,物体 B 同时会向物体 A 施加一个大小相等、方向相反的力。这两个力作用在不同的物体上,且属于同一类型的力。请记住:由于作用在不同物体上,这一对力永远不会相互抵消。
4. Mass vs. Weight | 质量与重量
quantity measured in kilograms (kg). Weight is the gravitational force acting on an object' s (N). Weight depends on the gravitational field strength g (≈ 10 N/kg on Earth). W = m g.
质量是物体所含物质的量度,是标量,单位为千克 (kg)。重量是作用在物体质量上的引力,是矢量,单位为牛顿 (N)。重量取决于重力场强度 g(地球表面约 10 N/kg)。W = m g。
| Mass 质量 | Weight 重量 |
| Scalar 标量 | Vector 矢量 |
| Measured in kg 单位:kg | Measured in N 单位:N |
| Same everywhere 处处相同 | Varies with g 随 g 变化 |
5. Free Fall and Acceleration due to Gravity | 自由落体与重力加速度
In the absence of air resistance, all objects near the Earth' lly rounded to 10 m/s² in CIE problems). The weight is the only force acting, so by Newton' s cancels out, which explains why a feather and a stone fall at the same rate in a vacuum.
在没有空气阻力的情况下,地球表面附近的所有物体都会以相同的恒定加速度 g ≈ 9.8 m/s²(CIE 题目中通常取 10 m/s²)下落。此时重力是唯一的作用力,根据牛顿第二定律,a = W/m = g。质量被消去了,这就解释了为什么在真空中羽毛和石头会以相同的速率下落。
6. Friction and Drag Forces | 摩擦与阻力
Friction is a contact force that opposes motion between two solid surfaces. Drag (air resistance or fluid resistance) is a force that opposes the motion of an object moving through a fluid (liquid or gas). Both friction and drag act in the opposite direction to motion and increase with speed (in the case of drag). They are crucial in explaining terminal velocity.
摩擦力是一种接触力,阻碍两个固体表面之间的相对运动。阻力(空气阻力或流体阻力)是物体在流体(液体或气体)中运动时,阻碍其运动的力。摩擦力和阻力都与运动方向相反;阻力还会随速度的增加而增大。它们在解释终端速度时至关重要。
7. Terminal Velocity | 终端速度
When an object falls through a fluid, it initially accelerates due to gravity. As its speed increases, the drag force increases. Eventually, the upward drag force becomes equal to the downward weight. At this point, the net force is zero, and the object stops accelerating — it continues to fall at a constant maximum speed called terminal velocity. This is an excellent application of balanced forces.
当物体在流体中下落时,最初因重力作用而加速。随着速度的增加,阻力逐渐增大。最终,向上的阻力与向下的重力大小相等。此时合外力为零,物体就不再加速——它以恒定的最大速度下落,这个速度被称为终端速度。这是平衡力概念一个极好的应用。
8. Unbalanced Forces and Acceleration Calculations | 非平衡力与加速度计算
When multiple forces act on an object, you must first find the resultant force. A resultant force always causes acceleration (if mass is fixed). Use the equation Fnet . Always draw a free-body diagram, resolve forces if necessary, and consider the direction of motion as positive.
当多个力作用在一个物体上时,你必须先求出合力。合力总会引起加速度(在质量恒定的情况下)。利用公式 F合 = m a 计算未知量。务必画出受力分析图,必要时分解力,并规定运动方向为正方向。
A 2 kg trolley is pushed with a force of 10 N against a friction of 2 N. Net force = 10 N – 2 N = 8 N. Acceleration a = F/m = 8 N / 2 kg = 4 m/s².
示例:一辆 2 kg 的小车受到 10 N 的推力,同时有 2 N 的摩擦力。合力 = 10 N – 2 N = 8 N。加速度 a = F/m = 8 N / 2 kg = 4 m/s²。
9. Car Safety Features | 汽车安全装置
Seat belts, airbags, and crumple zones are designed using Newton' nts (F = Δp / Δt). Crumple zones decelerate the car more gradually, and airbags provide a soft cushion to extend impact time.
安全带、安全气囊和溃缩区都是依据牛顿定律设计的,旨在减少碰撞时的伤害。它们通过延长动量变化的时间来减小乘员所受的平均力(F = Δp / Δt)。溃缩区使汽车更缓慢地减速,安全气囊则提供柔软的缓冲以延长撞击时间。
10. Momentum and Newton's Second Law | 动量与牛顿第二定律
Momentum p is defined as mass × velocity: p = m v. Newton' rce is equal to the rate of change of momentum. For a constant mass, this becomes F = (m v – m u)/t = m (v – of momentum allows us to calculate velocities, provided no external resultant force acts.
动量 p 定义为质量与速度的乘积:p = m v。牛顿第二定律最初是用动量表述的:合外力等于动量的变化率。当质量不变时,可推导出 F = (m v – m u)/t = m (v – u)/t = m a。在碰撞问题中,只要没有外合力作用,动量守恒定律可以帮助我们计算速度。
p = m v, Impulse = F Δt = Δp
p = m v,冲量 = F Δt = Δp
Published by TutorHao | Physics Revision Series | aleveler.com
更多咨询请联系16621398022(同微信)

或截图后用「扫一扫 → 相册」选择本图