GCSE Physics formula sheet

 GCSE Physics formula sheet

Mastering physics begins with understanding its fundamental equations. This comprehensive GCSE Physics Formula Sheet is designed to help students prepare effectively for exams by covering key topics such as motion, forces, energy, waves, electricity, and magnetism. With concise explanations and easy-to-follow formulas, this guide ensures you have everything you need for a solid foundation in physics. Whether revising or solving challenging problems, this formula sheet is your ultimate resource for success.

Here is a more comprehensive formula sheet for GCSE Physics, covering all topics:

1. Motion and Forces

1. Speed:

   $$\text{speed} = \frac{\text{distance}}{\text{time}}$$

2. Acceleration:

   $$\text{acceleration} = \frac{\text{change in velocity}}{\text{time}}$$

3. Force (Newton's Second Law):

   $$\text{force} = \text{mass} \times \text{acceleration}$$
   

4. Weight:

   $$\text{weight} = \text{mass} \times g$$
   

   ($g = 9.8 \, \text{N/kg}$ on Earth)

5. Momentum:

   $$\text{momentum} = \text{mass} \times \text{velocity}$$
   

6. Force and Momentum:

   $$\text{force} = \frac{\text{change in momentum}}{\text{time}}$$

7. Stopping Distance:

   $$\text{stopping distance} = \text{thinking distance} + \text{braking distance}$$
   

2. Energy

1. Kinetic Energy:

   $$\text{KE} = \frac{1}{2} \times \text{mass} \times \text{velocity}^2$$
   

2. Gravitational Potential Energy (GPE):

   $$\text{GPE} = \text{mass} \times g \times \text{height}$$
   

3. Work Done:

   $$\text{work done} = \text{force} \times \text{distance (moved in direction of force)}$$
   

4. Power:

   $$\text{power} = \frac{\text{work done}}{\text{time}}$$

5. Efficiency:

   $$\text{efficiency} = \frac{\text{useful energy output}}{\text{total energy input}} \times 100$$
   

3. Electricity

1. Ohm’s Law:

   $$\text{voltage (V)} = \text{current (I)} \times \text{resistance (R)}$$
   

2. Charge Flow:

   $$\text{charge} = \text{current} \times \text{time}$$
   

3. Electrical Power:

   $$\text{power} = \text{voltage} \times \text{current}$$
   $$\text{power} = {(\text{current})}^2 \times \text{resistance}$$
   

4. Energy Transferred:

   $$\text{energy} = \text{charge} \times \text{voltage}$$
   $$\text{energy} = \text{power} \times \text{time}$$
   

4. Waves

1. Wave Speed:

   $$\text{wave speed} = \text{frequency} \times \text{wavelength}$$
   

2. Period of a Wave:

   $$\text{period} = \frac{1}{\text{frequency}}$$

5. Magnetism and Electromagnetism

1. Force on a Conductor in a Magnetic Field:

   $$\text{force} = \text{magnetic flux density} \times \text{current} \times \text{length}$$
   

2. Transformer Equation:

   $$\frac{\text{voltage in primary coil}}{\text{voltage in secondary coil}} = \frac{\text{turns on primary coil}}{\text{turns on secondary coil}}$$

6. Density and Pressure

1. Density:

   $$\text{density} = \frac{\text{mass}}{\text{volume}}$$

2. Pressure:

   $$\text{pressure} = \frac{\text{force}}{\text{area}}$$

3. Pressure in a Liquid:

   $$\text{pressure} = \text{height} \times \text{density} \times g$$
   

7. Atomic Physics

1. Energy of a Photon:

   $$E = h \times f$$
   

   ($h = 6.63 \times 10^{-34} \, \text{J·s}$, Planck’s constant)

2. Activity of a Radioactive Source:

   $$A = \frac{N}{t}$$

   ($N$: number of decays, $t$: time)

Key Constants

• Gravitational Field Strength ($g$): $9.8 \, \text{N/kg}$
  
• Speed of Light ($c$): $3.0\times 10^8\text{m/s}$
• Charge of an Electron ($e$): $1.6 \times 10^{-19} \, \text{C}$
• Planck’s Constant ($h$): $6.63\times 10^{-34}\text{J}\text{<span style="color: black;">/s</span>}$