all the equations in physics

Force (Newton's Second Law)

F = m \times a where F is force in Newtons, m is mass in kg, and a is acceleration in m/s².

Weight

W = m \times g where W is weight in Newtons, m is mass in kg, and g is the acceleration due to gravity (approximately 9.8 \, m/s²).

Work Done

W = F \times d where W is work done in Joules, F is the force in Newtons, and d is the distance moved in meters.

Kinetic Energy

KE = \frac{1}{2} m v^2 where KE is kinetic energy in Joules, m is mass in kg, and v is velocity in m/s.

Gravitational Potential Energy

GPE = m \times g \times h where GPE is gravitational potential energy in Joules, m is mass in kg, g is the acceleration due to gravity, and h is height in meters.

Power

P = \frac{W}{t} where P is power in Watts, W is work done in Joules, and t is time in seconds.

Density

\rho = \frac{m}{V} where \rho is density in kg/m³, m is mass in kg, and V is volume in m³.

Pressure

P = \frac{F}{A} where P is pressure in Pascals, F is force in Newtons, and A is area in m².

Ohm's Law

V = I \times R where V is voltage in Volts, I is current in Amperes, and R is resistance in Ohms.

Charge

Q = I \times t where Q is charge in Coulombs, I is current in Amperes, and t is time in seconds.

Acceleration

a = \frac{\Delta v}{t} where a is acceleration in m/s², \Delta v is change in velocity in m/s, and t is time in seconds.

Momentum

p = m \times v where p is momentum in kg⋅m/s, m is mass in kg, and v is velocity in m/s.

Force (Friction)

F_{friction} = \mu \times F_{normal} where F_{friction} is the frictional force in Newtons, \mu is the coefficient of friction, and F_{normal} is the normal force in Newtons.

Energy Efficiency

Efficiency = \frac{Useful\,Energy\,Output}{Total\,Energy\,Input} \times 100 where efficiency is a percentage.

Refractive Index

n = \frac{c}{v} where n is the refractive index, c is the speed of light in vacuum, and v is the speed of light in the medium.

Wave Speed

v = f \times \lambda where v is wave speed in m/s, f is frequency in Hz, and \lambda is wavelength in meters.

Hooke's Law

F = k \times x where F is the force in Newtons, k is the spring constant in N/m, and x is the extension in meters.

Electrical Power

P = V \times I where P is power in Watts, V is voltage in Volts, and I is current in Amperes.

Work Done (in terms of power)

W = P \times t where W is work done in Joules, P is power in Watts, and t is time in seconds.

Newton's Third Law

For every action, there is an equal and opposite reaction.

Gravitational Potential Energy

GPE = m \times g \times h where GPE is gravitational potential energy in Joules, m is mass in kg, g is the acceleration due to gravity, and h is height in meters.

Power

P = \frac{W}{t} where P is power in Watts, W is work done in Joules, and t is time in seconds.

Density

\rho = \frac{m}{V} where \rho is density in kg/m³, m is mass in kg, and V is volume in m³.

Pressure

P = \frac{F}{A} where P is pressure in Pascals, F is force in Newtons, and A is area in m².

Ohm's Law

V = I \times R where V is voltage in Volts, I is current in Amperes, and R is resistance in Ohms.

Charge

Q = I \times t where Q is charge in Coulombs, I is current in Amperes, and t is time in seconds.

Acceleration

a = \frac{\Delta v}{t} where a is acceleration in m/s², \Delta v is change in velocity in m/s, and t is time in seconds.

Momentum

p = m \times v where p is momentum in kg⋅m/s, m is mass in kg, and v is velocity in m/s.

Force (Friction)

F_{friction} = \mu \times F_{normal} where F_{friction} is the frictional force in Newtons, \mu is the coefficient of friction, and F_{normal} is the normal force in Newtons.

Energy Efficiency

Efficiency = \frac{Useful\,Energy\,Output}{Total\,Energy\,Input} \times 100 where efficiency is a percentage.

Refractive Index

n = \frac{c}{v} where n is the refractive index, c is the speed of light in vacuum, and v is the speed of light in the medium.

Wave Speed

v = f \times \lambda where v is wave speed in m/s, f is frequency in Hz, and \lambda is wavelength in meters.

Hooke's Law

F = k \times x where F is the force in Newtons, k is the spring constant in N/m, and x is the extension in meters.

Electrical Power

P = V \times I where P is power in Watts, V is voltage in Volts, and I is current in Amperes.

Work Done (in terms of power)

W = P \times t where W is work done in Joules, P is power in Watts, and t is time in seconds.

Newton's Third Law

For every action, there is an equal and opposite reaction.

Wave Equation

v = f \lambda where v is the wave speed in m/s, f is the frequency in Hz, and \lambda is the wavelength in meters.

Thermal Energy Transfer

Q = mc \Delta T where Q is thermal energy transferred in Joules, m is mass in kg, c is specific heat capacity, and \Delta T is the change in temperature.

Efficient Energy Use

Efficiency = \frac{Useful\,Energy\,Output}{Total\,Energy\,Input} \times 100 where efficiency is given as a percentage.

Voltage Divider

V_{out} = V_{in} \times \frac{R_2}{R_1 + R_2} for two resistors R1 and R2 in series.