📚 Edexcel International A-Level Physics (9630) Data and Formula Booklet: Concepts Explained | 爱德思国际A-Level 物理 (9630) 数据与公式手册概念解析
The Edexcel International A-Level Physics (9630) Data and Formula Booklet is an essential tool for every student. It contains all the key constants, unit conversions, and equations needed for both AS and A2 examinations. Understanding the concepts behind these formulas, rather than simply memorising them, is the key to success in physics. This article provides a comprehensive concept walkthrough of the booklet’s major sections, helping you see how each formula is derived, what the symbols mean, and how they are applied in problem-solving.
爱德思国际A-Level物理(9630)数据与公式手册是每位学生的必备工具。它包含了AS和A2考试所需的所有关键常数、单位换算和方程。理解这些公式背后的概念，而非死记硬背，是学好物理的关键。本文对手册的主要章节进行了全面的概念梳理，帮助你理解每个公式的推导、符号含义以及它们在解题中的应用。
1. Kinematics and Motion Equations | 运动学与运动方程
The four ‘SUVAT’ equations describe motion with constant acceleration in a straight line. They link displacement s, initial velocity u, final velocity v, acceleration a, and time t.
四个“SUVAT”方程描述了匀加速直线运动的情形。它们将位移 s、初速度 u、末速度 v、加速度 a 和时间 t 联系在一起。
v = u + at
s = ut + ½at²
v² = u² + 2as
s = ½(u + v)t
These equations are derived from the definitions of velocity and acceleration, assuming a is constant. The first equation gives final velocity directly; the second and third determine displacement when time is or is not known. The average velocity equation, s = ½(u+v)t, is especially useful when acceleration is absent from the required calculation.
这些方程由速度和加速度的定义导出，前提是 a 为常数。第一个方程直接给出末速度；第二、三个方程分别在已知或未知时间时求位移。平均速度方程 s = ½(u+v)t 在不需要加速度时特别有用。
For vertical motion under gravity, a is replaced by g = 9.81 m s⁻² downward. In projectile motion, the horizontal and vertical components are treated independently using these equations.
对于重力作用下的竖直运动，a 用向下的 g = 9.81 m s⁻² 取代。在抛体运动中，水平和竖直分量利用这些方程独立分析。
2. Dynamics and Newton’s Laws | 动力学与牛顿定律
Newton’s second law states that the resultant force on an object is equal to the product of its mass and acceleration: ΣF = ma. Mass is a measure of inertia, and the weight of an object is W = mg.
牛顿第二定律指出，作用在物体上的合力等于质量与加速度的乘积：ΣF = ma。质量是惯性的量度，物体的重量为 W = mg。
When solving problems, draw a free-body diagram to resolve forces. For an object on a slope, resolve weight into components parallel (mg sinθ) and perpendicular (mg cosθ) to the plane. Friction f ≤ μR opposes relative motion, with R being the normal reaction.
解题时，应画出受力图进行力的分解。对于斜面上的物体，将重力分解为平行斜面（mg sinθ）和垂直斜面（mg cosθ）的分量。摩擦力 f ≤ μR 阻碍相对运动，R 为法向反作用力。
Hooke’s law for springs is ΔF = kΔx, where k is the spring constant. The force is proportional to the extension or compression, provided the elastic limit is not exceeded.
弹簧的胡克定律为 ΔF = kΔx，k 为劲度系数。只要不超过弹性极限，力与伸长（或压缩）量成正比。
3. Work, Energy and Power | 功、能量与功率
Work done by a force is W = Fd cosθ, where θ is the angle between the force and displacement. This converts energy from one form to another. Kinetic energy is Eₖ = ½mv², and the change in gravitational potential energy is ΔEₚ = mgΔh.
力所做的功 W = Fd cosθ，其中 θ 是力与位移的夹角。它将能量从一种形式转换为另一种。动能为 Eₖ = ½mv²，重力势能的变化为 ΔEₚ = mgΔh。
The principle of conservation of energy means total energy is constant in a closed system. Power is the rate of doing work: P = ΔW/Δt. For an object moving at constant speed v with a driving force F, the instantaneous power is P = Fv.
能量守恒定律表明，封闭系统内总能量保持不变。功率是做功的速率：P = ΔW/Δt。对于在驱动力 F 下以恒定速率 v 运动的物体，瞬时功率为 P = Fv。
Efficiency is useful output power (or energy) divided by total input power. It is usually expressed as a percentage.
效率等于有用输出功率（或能量）除以总输入功率，通常以百分比表示。
4. Momentum and Impulse | 动量与冲量
Linear momentum is a vector quantity: p = mv. The impulse exerted by a resultant force is FΔt, which equals the change in momentum: FΔt = Δp. This is the impulse-momentum theorem.
线动量是矢量：p = mv。合力产生的冲量为 FΔt，它等于动量的变化：FΔt = Δp。这就是冲量-动量定理。
In a closed system, total momentum is conserved in all collisions. For two objects A and B: mₐuₐ + mₐuₐ = mₐvₐ + mₐvₐ. Collisions can be elastic (kinetic energy conserved) or inelastic (some kinetic energy converted to other forms).
在封闭系统中，所有碰撞的总动量都守恒。对于两个物体 A 和 B：mₐuₐ + m₃u₃ = mₐvₐ + m₃v₃。碰撞可以是弹性的（动能守恒）或非弹性的（部分动能转化为其他形式）。
An explosion or recoil event is an example of an inelastic process where internal forces cause separation while total momentum remains zero if initially at rest.
爆炸或反冲事件是非弹性过程的例子，内力导致分离，若系统初始静止，总动量保持为零。
5. Circular Motion and Gravitational Fields | 圆周运动与引力场
An object moving in a circular path with constant speed experiences a centripetal acceleration towards the centre. Its magnitude is a = v²/r = ω²r, where ω is the angular velocity ω = 2π/T (with T the period). The required centripetal force is F = mv²/r = mω²r.
物体以恒定速率做圆周运动时，具有指向圆心的向心加速度。其大小为 a = v²/r = ω²r，其中 ω 是角速度 ω = 2π/T（T 为周期）。所需的向心力为 F = mv²/r = mω²r。
Newton’s law of gravitation states that any two point masses attract each other with a force F = Gm₁m₂/r². The gravitational field strength at a point is the force per unit mass, g = F/m. For a spherical mass M, the radial field is g = GM/r².
牛顿万有引力定律指出，任意两质点之间的引力为 F = Gm₁m₂/r²。引力场强度是单位质量的受力，g = F/m。对于球形质量 M，径向引力场为 g = GM/r²。
For a planet, setting centripetal force equal to gravity yields circular orbit speed v = √(GM/r) and Kepler’s third law T² ∝ r³. Geostationary satellites have a period of 24 hours and orbit directly above the equator.
对于行星，让向心力等于引力可得出圆轨道速率 v = √(GM/r) 以及开普勒第三定律 T² ∝ r³。地球同步卫星周期为 24 小时，并位于赤道正上方。
6. Electric Fields and Capacitors | 电场与电容器
Coulomb’s law gives the force between two point charges: F = (1/(4πε₀)) Qq/r². The electric field strength is force per unit positive charge, E = F/q. For a point charge, E = (1/(4πε₀)) Q/r², and for a uniform field between parallel plates, E = V/d.
库仑定律给出了两点电荷间的力：F = (1/(4πε₀)) Qq/r²。电场强度是单位正电荷所受的力，E = F/q。对于点电荷，E = (1/(4πε₀)) Q/r²；对于平行板间的匀强电场，E = V/d。
Capacitance C is the charge stored per unit potential difference: C = Q/V. A parallel-plate capacitor has capacitance C = ε₀A/d. The energy stored is E = ½CV² = ½QV.
电容 C 是单位电势差所储存的电荷量：C = Q/V。平行板电容器的电容为 C = ε₀A/d。储存的能量为 E = ½CV² = ½QV。
In RC circuits, the time constant τ = RC governs the exponential charge and discharge. For discharge, Q = Q₀ e^(−t/RC) and for charging, Q = Q₀ (1 − e^(−t/RC)).
在 RC 电路中，时间常数 τ = RC 决定了指数式的充放电过程。放电时 Q = Q₀ e^(−t/RC)，充电时 Q = Q₀ (1 − e^(−t/RC))。
7. Magnetic Fields and Electromagnetic Induction | 磁场与电磁感应
Magnetic flux density B is measured in tesla. A current-carrying conductor of length L in a magnetic field experiences a force F = BIL sinθ, where θ is the angle between current and field. A moving charge q feels the Lorentz force F = Bqv sinθ.
磁通量密度 B 的单位为特斯拉。位于磁场中长为 L 的载流导体受到的力为 F = BIL sinθ，θ 是电流与磁场的夹角。运动电荷 q 感受到的洛伦兹力为 F = Bqv sinθ。
Magnetic flux Φ through an area A is Φ = BA cosθ, with θ the angle between the field and the normal to the area. Faraday’s law states that the induced emf is equal to the rate of change of flux linkage: ε = −N ΔΦ/Δt. Lenz’s law gives the negative sign, indicating the induced current opposes the change.
穿过面积 A 的磁通量为 Φ = BA cosθ，θ 是磁场与法线间的夹角。
Published by TutorHao | A-Level Physics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
屏轩国际教育cambridge primary/secondary checkpoint, cat4, ukiset,ukcat,igcse,alevel,PAT,STEP,MAT, ibdp,ap,ssat,sat,sat2课程辅导，国外大学本科硕士研究生博士课程论文辅导