Physics

w=Fdcos(θ)

f and d are constant

w=area under the graph

Linear f vs x graph is given

w=integral of force (with respect to x)

f(x) is given

w=integral of power (with respect to time)

p(t) is given

power = work/time

avg power

power = force\* velocity \* cos(θ)

if force and velocity is given

power = dw/dt (with respect to time)

w(t) is given

k = .5(m)(v)^2

kinetic(there is no way you don’t know this)

Us(spring constant) (integral of spring force)

1/2(k)(x)^2

Ug(pe of gravity))

mgh

U(potential energy) = - integral of force (with respect to x)

F(x) is given

F = - derivative of potential energy(U) (with respect to x)

U(x) is given

F = -∆U/∆X

if linear U(x) graph is given

∆K = wnet

Change in kinetic energy = total work

w=force(vector)\*distance(vector)

vectors