Final Velocity
v=u+at (initial velocity + acceleration * time)
Displacement under constant acceleration
s=ut+(at**2)/2
Relations between velocity, acceleration, and displacement
V** 2=u** 2+2as (s is displacement)
Newton’s second Law
F=ma (mass * acceleration)
Work done by a force over a displacement
W=Fd (W in J and d in m)
General Change in energy
delta E = Fd
Power
P=W/t (P in watts)
Kinetic Energy
KE= 1/2 mv**2 (KE in J)
Gravitational potential energy
PEg= mgh
Efficiency
Efficiency = (useful energy output / total energy input)
Hooke’s Law
F = ox (Force in spring = spring constant * extension) (k in N/m and x in m)
Elastic potential energy ( energy stored in stretched spring)
E = 1/2 kx**2
Momentum
p = mv (kg*m/s)
Impulse; change in momentum
J = F delta t (force * time)
Conservation in collisions
m1v1 + m2v2 = m1v1 + m2v2 (avant = après)
Centripetal force
Fc = (mv**2)/r = mrw (force towards center in circular motion in N) (w is angular speed)
Period
T = 1/f
Universal gravitation
F = G(m1m2/r**2) (force between two masses m1 et m2)
Gravitational field
g = GM/r**2 (field around mass M)
Wave speed
v = f*lamba (speed = frequency * wavelength)
Frequency
f = 1/T
Lens / mirror equation
1/f = (1/u) + (1/v) ( focal length, object distance, image distance)
Magnification
m = v/u = (image size / object size)