Equations – Part 1

Common IGCSE Physics Equations #

Speed Equation: #

v = d t

Where:

  • v = speed (m/s)
  • d = distance (m)
  • t = time (s)

Example: #

A car travels 100 meters in 20 seconds.

Speed = 100 ÷ 20 = 5 m/s

Acceleration Equation: #

a = v – u t

Where:

  • a = acceleration (m/s²)
  • v = final velocity (m/s)
  • u = initial velocity (m/s)
  • t = time (s)

Example: #

A car accelerates from 0 m/s to 20 m/s in 10 seconds.

Acceleration = (20 – 0) ÷ 10 = 2 m/s²

Momentum Equation: #

p = m × v

Where:

  • p = momentum (kg⋅m/s)
  • m = mass (kg)
  • v = velocity (m/s)

Example: #

A 2 kg ball moves at 5 m/s.

Momentum = 2 × 5 = 10 kg⋅m/s

Weight Equation: #

W = m × g

Where:

  • W = weight (N)
  • m = mass (kg)
  • g = gravitational field strength (9.81 N/kg)

Example: #

Calculate the weight of a 5 kg object.

Weight = 5 × 9.81 = 49.05 N

Density Equation: #

ρ = m V

Where:

  • ρ = density (kg/m³)
  • m = mass (kg)
  • V = volume (m³)

Example: #

A 400 kg object has a volume of 0.2 m³.

Density = 400 ÷ 0.2 = 2000 kg/m³

Volume (Rectangular Object): #

V = l × w × h

Where:

  • V = volume (m³)
  • l = length (m)
  • w = width (m)
  • h = height (m)

Example: #

A box is 2m long, 3m wide, and 4m high.

Volume = 2 × 3 × 4 = 24 m³

Pressure Equation: #

P = F A

Where:

  • P = pressure (N/m² or Pa)
  • F = force (N)
  • A = area (m²)

Example: #

A force of 100 N acts on an area of 2 m².

Pressure = 100 ÷ 2 = 50 N/m²

Work Done Equation: #

W = F × d

Where:

  • W = work done (J)
  • F = force (N)
  • d = distance (m)

Example: #

A force of 20 N moves an object 5 meters.

Work done = 20 × 5 = 100 J

Kinetic Energy Equation: #

KE = ½ × m × v²

Where:

  • KE = kinetic energy (J)
  • m = mass (kg)
  • v = velocity (m/s)

Example: #

A 2 kg object moves at 3 m/s.

Kinetic Energy = ½ × 2 × 3² = 9 J

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