Physics Formulas

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A series of free GCSE/IGCSE Physics Formulas, Notes and Lessons.

The following tables give the formulas that useful for GCSE/IGCSE Physics: Forces, Electricity, Energy, Waves, Light. Scroll down the page for more examples and songs to help you remember the formulas.

Print Physics Formulas (Forces) (pdf)
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Print Physics Formulas (Light) (pdf)

GCSE Physics Equations Song

IGCSE Physics equation.

Here are more physics formulas across various areas of physics:

Mechanics

1. Kinematics
• Displacement (d) = $$\Delta x = x_f - x_i$$
• Average Velocity ($$\bar{v}$$) = $$\frac{\Delta x}{\Delta t}$$
• Average Acceleration ($$\bar{a}$$) = $$\frac{\Delta v}{\Delta t}$$
• Final Velocity ($$v_f$$) = $$v_i + \bar{a} \Delta t$$
2. Dynamics
• Newton's Second Law $$F$$ = $$ma$$
• Weight ($$W$$) = $$mg$$
• Frictional Force ($$f_{friction}$$) = $$\mu N$$
3. Circular Motion
• Centripetal Acceleration $$a_c$$ = $$\frac{v^2}{ r}$$
• Centripetal Force $$F_c$$ = $$\frac{ mv^2}{ r}$$

Energy

1. Work and Energy
• Work ($$W$$) = $$F \cdot d$$ = $$\Delta KE$$
• Kinetic Energy ($$KE$$) = $$\frac{1}{2}mv^2$$
• Gravitational Potential Energy ($$PE_{\text{gravity}}$$) = $$mgh$$
• Elastic Potential Energy ($$PE_{\text{elastic}}$$) = $$\frac{1}{2}kx^2$$

Thermodynamics

• First Law of Thermodynamics: $$\Delta U = Q - W$$
• Ideal Gas Law: $$PV = nRT$$

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