Distance equals .....?

(but only when there is a constant acceleration)

In kinematics, D equals....?

Hooke's Law

F _{s = -k ▲x}

K = Spring constant (N/m)

X = Compression/ Elongation 

or 

Change in length from equilibrium

The amount of work done to compress the spring

½ kx² = U_spring

PE = mgh

m = mass

g = grav. acceleration

h = height of object above ground

Conservation of Energy Formula

(Kinetic and Potential energy)

E_total = KE + PE

or 

KE _initial + PE _initial = KE _final + PE _final

W = ▲ E

E = energy

or 

W = Fd cos θ

M_a V_a + M_b V_b = M_a V_a ' + M_b V_b '

 M = mass

V = Velocity

V' _a = V' _b = V'

M_a V_a + M_b V_b = (M_a + M_b)V'

J = F ▲T = ▲ P

or 

F ▲ T = M ▲ V

J = Impulse

F = Force

T = time 

P = Momentum

M = Mass

V = Velocity

F = G  (M₁ M₂ / r²)

F= grav force of attraction btwn 2 bodies

G = Grav. Constant (6.67 x 10 ^-11 Nm² / kg²)

m₁ = mass of one gravitatonal body

m₂ = mass of other grav body

r= distance btwn centers of the two bodies

T₁²/ T₂² = r₁³ / r₂³

T = period of a planet

r= average distance 

Note: in order ot use this the two objects must be orbiting the same object =O

T = (2 pi r) / v

T = orbitial period of a planet

V = average velocity of said planet

r = the avg. distance btwn the planet and the central grav. body

F_c = mv² / r

Fc = F_net for object in circular motion

V = square root (rg tan θ)

θ = angle the bank makes with the ground

Torque = Fr sin θ

r = distance from pivot point to where the force is being applied 

θ = angle btwn the force vector and radius vector