Mechanics 

v = u + a t

[ Linear Motion Equations ] 
F = m a 
[ Force v Acceleration ] 
m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1 }+ m_{2}v_{2 } 
[ Momentum ]

Θ = s / r 
[ Angle to Radius ]

Ω = Θ / t

[ Angular Velocity ] 
v = r / ω 
[ Linear Vel → Angular Vel ] 
a = r ω ^{2} = v ^{2} / r

[ Centripetal Acceleration ] 
F = m r ω ^{2} = m v ^{2} / r

[ Centripetal Force ] 
w = mg 
[ Weight ] 
F = 
G m_{1} m_{2}


d ^{2}


[ Newton’s Law of Gravitation ] 
g = 
G M


r ^{2}


[ g – Gravitation Constant ] 
T ^{2} = 
4 π ^{2} r ^{3}


G M


[ Period v Distance ^{3} ] 
ρ = m / v 
[ Density ] 
P = Force / Area = ρ g h

[ Pressure ] 
T = F d 
[ Moment /Couple ] 
F = – k s

[ Hooke’s Law ] 
a = – ω_{2} s 
[ Simple Harmonic Motion ] 
T = 1 / f = 2 λ / ω 
[ Period ] 
T 
= 
2 
π 


[ Simple Pendulum ] 
W = F d 
[ Work = Force x distance ] 
P = W / t 
[ Power = Work / time ] 
Heat 

Q = m c ΔΘ

[ Specific Heat Capacity ] 
Q = m l 
[ Specific Latent Heat ] 
Modern Physics 

E = h f 
[ Energy of Photon ]


h f = Φ + ½ m v^{2}_{max} 
[ Photoelectric Equation ] 
Rate of decay = λ N 
[ Rate of decay ] 

=

ln 2


λ


[ Halflife ] 
E = m c^{2} 
[ Mass – Energy ] 