When you have a and want v
v=u+at

When you have velocity, acceleration, and time, and want position
s=ut+1/2at^2

When you have acceleration and position and want velocity (or have velocity and want acceleration), but without time
v^2=u^2+2as

What is equation for weight
F=mg

Equation for friction
F=uN

Gravitational equation
F=GMm/r^2

Equation for height of projectile (use "0" for theta)
(v^2 sin^2 0)/2g

Time to get to apogee (use "0" for theta)
vsin0/g

What is drag proportional to
v^2

Equation for tangential velocity/length of arc (radians, use w for omega)
v=rw

Equation for centripetal force necessary to maintain circular motion
F=mv^2/r

When swinging water bucket over your head, hot wheels around loop, etc. what is Fc (mv^2/r) equal to
mg

In satellite in geostationary orbit what is Fc equal to
GMm/r^2

Hookes law
F=kx

Gravitational potential energy
Ug=mgh

Spring potential energy
Usp=1/2kx^2

Kinetic energy
K=1/2mv^2

Period in terms of angular velocity (use "pi" for pi, w for omega)
T=2pi/w

Period in terms of frequency
T=1/f

Work done by gravity (in space)
Ug=-GMm/r^2

Equation for power (in terms of work)
P=W/t

Equation for power (in terms of force)
P=Fv

Equation for momentum
p=mv

What is conserved in all collisions
momentum

What is only conserved in elastic collisions
energy

Equation for SHM (use w for omega)
x = Asin(wt)

Angular speed of spring (period = 2pi/this, use w for omega)
w=sqrt(k/m)

Angular speed of pendulum (period = 2pi/this, use w for omega)
w=sqrt(g/L)

When you have max velocity (v_max) and need angular speed (use w for omega)
v_max=Aw

When you have max acceleration (a_max) and need angular speed (use w for omega)
a_max=Aw^2

What is F delta t equal to
m delta v

Period of spring oscillation
2pi*sqrt(m/k)

Equation for damped spring (assume 0.5 for spring damping factor)
x=Ae^-0.5t sin(sqrt(k/m)t)

Kepler's second law: if area is same, then time taken is same. Which one is moving faster - p1 to p2 or p3 to p4?
p1 to p2

What is shape of orbit
ellipse

In kepler's third law do planets further away from the sun have larger or smaller periods
larger

Normal force on incline, use 0 for theta, angle at base of the incline
mgcos(0)

Force in axis of motion on incline
mgsin(0)

Normal force of object on banked curve
mg/cos(0)

Centripetal force necessary on banked curve (use F_n) for normal force, from prev. question
F_n sin(0)

Final equation for banked curve
v=sqrt(rgtan(0))

What direction is positive? `left` `right`
left: counterclockwise
right: clockwise

Equation for kepler's third law (sort of)
T^2 = r^3

Equation for perpendicular radius (moment arm) (use 0 for theta)
rsin(0)

Rotational inertia/moment of inertia (I) of point mass (m) on rod of length (r)
I=mr^2

When you have U vs x and you want F(x)
F(x)=-dU/dx

Don't forget this in anything energy related
Kinetic energy

3rd right hand rule: point what part in direction of field to figure out direction of current in loop of wire
thumb

If doing gravity inside of sphere what can you ignore
outer shell

Beta negative decay equation
n -> p + e- + v_e bar

Center axis theorem/parallel axis theorem (where h is distance between the axes)
I = Ic + Mh^2

What happens in center of mass frame velocity elastic collision
sign flip

`node1`: Fixed, `node2`: Max amplitude
node1: node
node2: antinode

What are first three harmonics (in terms of lambda) for two nodes/two antinodes
1/2
2/2
3/2

What are first three harmonics (in terms of lambda) for one node and one antinode
1/4
3/4
5/4

Power of wind generator (where rho is p)
pAv^3

B-field inside solenoid (where permitivity of free space, mu_0, is u)
uIN/L

B-field for wire
uI/2pir

How many light years is a parsec
3.2