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linear momentum

p=mv or integral of force net, multipled by time

impulse

change in momentum

elastic collision

kinetic energy is conserved

inelastic collision

kinetic energy is not conserved

completely inelastic collision

bodies stick together after a collision

angular position

theta = s/r

angular velocity

w=dthetha/dt

angular acceleration

fish=dw/dt

converting speed linear to rotational

v=wr

converting acceleration

at=fish(r), ar=w^2(r)

kinetic energy

1/2Iw^2+1/2Mv^2

rotational inertia hoop

I=MR^2

rotational inertia ring

1/2M(R1^2+R2^2)

torque

t=Ifish, rxf

work

W=t(change in theta)

power

p=tw

angular momemtum

l=m(rxv),=rmvsin pheee, Iw

torque net

t=change in L/change in t