no idea how to do this problem

A kid at the junior high cafeteria wants to propel an empty milk carton along a lunch table by hitting it with a 3.0g spit ball.

If he wants the speed of the 40g carton just after the spit ball hits it to be 0.30 m/s, at what speed should his 3.0 g spit ball hit the carton?

1 answer

conservation of momentum..

(1/2)*m*v = (1/2)*m2*v2

m = 3
v = ?? <-- speed of spitball

m2 = 40 + 3 = 43 (added the sum because assuming that the spitball sticks to the carton, that's the total mass)

v2 = .3

solve for v