Fucking equations Flashcards
Kinetic Energy
1/2mv*2
Work done by a constant force
w=fdcosø
Hooke’s law
F=-kx
Work done by a spring force
Ws=1/2kx*2
Gravitational potential energy
mgh or -GMm/r
Elastic potential energy
1/2kx*2
Impulse
J=Favg∆t
Inelastic collisions
m1v1i+m2v2i=m1v1f+m2v2f
Elastic collisions
V1f=(m1-m2/m1+m2)V1i and V2f=(2m1/(m1+m2))V1i
Kinematic equations
v=vo+at, ∆x=1/2at2+vot, v2=vo*2+2a∆x
Period
(2πr)/v, (2π)/w
Rotational Kinetic Energy
K=1/2Iw*2
angular frequency
w=†(∆ø), w=2π/T, w=square root of k/m
Torque
†=rFsinø
Parallel axis theorem
I=Icom+Mr*2
Kinetic energy for a rolling object
1/2Icomw2+1/2Mvcom2
Gyroscope
Ω=(Mgr)/(Iw)
Gravitational force
G(M1M2)/r*2
Angular momentum
L=rmvsinø, L=Iw
Gravitational acceleration
ag=GM/r*2
Gravitation within a shell
Mins=p(4πr*3)/3
Escape velocity
Square root of 2GM/r
Law of periods
T2=(4π2/GM)r*3
Simple harmonic motion
X=Xmcos(wt+ø)
Period(oscillations)
T=2π times the square root of m/k
Dampening constant
e*-bt/2m
w’
Square root of (k/m)-(b2/4m2)