• Revision:Physics Formulae (OCR A Level)

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Here are a load of forumlae for reference that need to be known about and used for A Level physics. Please add in any other formulae that you know are needed that have been missed.


Contents

Forces in Physics

Gravity Forces

\displaystyle F = mg

Weight of a mass m near an object of gravity g

\displaystyle g = \frac{(-)GM}{r}

The value of g at a distance r from the centre of a planet of mass M (the minus is the magnitude)

\displaystyle F = \frac{GMm}{r^2}

The force of G between mass m and mass M

Electrostatic Forces

\displaystyle E = \frac{V}{d}

The electric field strength between two charged parallel plates

\displaystyle F = \frac{qV}{d}

The force on a charge q between two charged parallel plates

\displaystyle E = \frac{kQ}{r^2}

The electric field near a point or spherical charge

\displaystyle F = \frac{KQq}{r^2}

The force on a charge q near a point or spherical charge

Magnetic Forces

\displaystyle F = BIl

The force on a current flowing at 90degrees to a magnetic flux density B

\displaystyle F = Bqv

The force on a charge q moving at velocity v at 90degrees to a magnetic flux density B


Others

\displaystyle F = kx

The force produced by a stretched spring or piece of material

\displaystyle F = -ks

The force on an oscillator that is moving with simple harmonic motion


Force and Motion Relationships

\displaystyle F = ma

Force, acceleration and mass

\displaystyle Ft = \Delta p

Impulse and momentum

\displaystyle E = FD

Forces and energy


Energy in physics

Gravitational PE

\displaystyle PE = mgh

The potential energy of a mass m lifted a height h above the earth

\displaystyle Vg = \frac{-GM}{r}

The value of gravitational potential energy at a distance r from the centre of mass M

\displaystyle PE = \frac{-GMm}{r}

The PE of mass m and mass M at a distance r apart

Electrostatic PE

\displaystyle E = qV

The PE lost when a charge q moves through potential difference V

\displaystyle E = \frac{1}{2}CV^2

The PE stored in a charged capacitor

\displaystyle V = \frac{kQ}{r}

The electrical potential V near a point or spherical charge

\displaystyle PE = \frac{kQq}{r}

The PE of a charge q near a point or spherical charge Q


Others

\displaystyle E = \frac{1}{2}kx^2

The energy stored in a stretched spring or piece of material

\displaystyle KE = \frac{1}{2}mv^2

The kinetic energy of a moving mass m

\displaystyle E = \frac{1}{2}ka^2

The energy of a simple harmonic oscillator with amplitude A

\displaystyle E = hf

Photon energy

\displaystyle E = mC\Delta \theta

The energy needed to change the temerature of a material

\displaystyle E = kT

The average energy of a particle at temperature T


Time Speed and Distance

Time formulae

\displaystyle t = \frac{s}{v}

Time to go distance s at constant velocity v

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\displaystyle t = \frac{2\pi \sqrt{\frac{m}{k}}

Period of oscillation (mass on a spring)

\displaystyle t = 2\pi \sqrt{\frac{l}{g}}

Period of oscillation (Pendulum)

\displaystyle t = \frac{\ln 2}{\lambda}

Formula for radioactive half-life

\displaystyle t = 0.69RC

Time for charge in a capacitor to half

\displaystyle t = RC

Time for capacitor's charge to fall by 37%

\displaystyle t = \frac{1}{f}

The relationship between period and frequency

\displaystyle t = \frac{E}{P}

The relationship between power time and energy


Laws

Keplers 3rd Law: \displaystyle t^2 = sqrt((4pi^2)/GM) r^3

Comments

  • Suitable for: A Level physics, espeically OCR exam board route B.
  • Written by: emdiesse.
  • From this thread.

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