Posted by TangenT on Tuesday, June 1, 2010 at 6:06am.
Assume there is no friction and use conservation of total momentum.
M1 = skateboard mass
M2 = your mass
M3 = ball's mass
Vr = recoil velocity
Vb = ball velocity
(M1 + M2) Vr + M3 Vb = 0
Vr = -[M3/(M1 + M2)]*Vb
Plug in your numbers. Vr is negative because the recoil is in the opposite direction
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