AP Physics 1: Momentum Equations

Ft = m🔺v

F = Force t = time m = mass 🔺v = change in velocity

Ft = 🔺p

F = Force t = time 🔺p = change in momentum

J = Ft

J = impulse F = Force t = time

J = m🔺v

J = impulse m = mass 🔺v = velocity

J = 🔺p

J = impulse 🔺p = change in momentum

m1v1i + m2v2i +...+mnvni = m1v1f + m2v2f +...+mnvnf (This also applies to kinetic energies too in elastic collisions)

m1 = mass of first object v1i = initial velocity of first object m2 = mass of second object v2i = initial velocity of second object mn = mass of nth object vni = initial velocity of nth object v1f = final velocity of first object v2f = final velocity of second object vnf = final velocity of nth object

m1v1i + m2v2i = (m1 + m2)vf

m1 = mass of first object v1i = initial velocity of first object m2 = mass of second object v2i = initial velocity of second object vf = final velocity

p = mv

p = momentum m = mass v = velocity

sigma(Pbefore) = sigma(Pafter)

sigma(Pbefore) = vector sum of initial momentums sigma(Pafter) = vector sum of final momentums

🔺p = pf - pi

🔺p = change in momentum pf = final momentum pi = initial momentum