Prob 3 Speedy Connor McDavid of mass M was skating up the ice to try and get pas

Question

Prob 3 Speedy Connor McDavid of mass M was skating up the ice to try and get past big Shea Weber who has mas M for a breakaway. As McDavid skated with a velocity to = vo,?1+10 yJ, Weber suddenly moved toward him with a velocity uo uo . The two collided and the instant replay showed poor McDavid getting crushed in this inelastic collision, resulting in his sliding backwards on the frictionless ice with a velocity T an different direction (a) What were the initial momenta of the two skaters prior to the collision? uo (b) What impulse did Weber impart to McDavid during the collision?

Explanation / Answer

a)

Pi = initial momentum = M (vo,x i + vo,y j) + (4M/3) (- uo,x i)

b)

Pf = final momentum = (M ) (0.1) (vo,x i) = (0.1) (M vo,x i)

Impulse = change in momentum = Pf - Pi = (0.1) (Mvo,x i) - M (vo,x i + vo,y j) = - (0.9) Mvo,x i - M vo,y j

Impulse = - (0.9) Mvo,x i - M vo,y j

c)

using conservation of momentum

M (vo,x i + vo,y j) + (4M/3) (- uo,x i) = (0.1) (M vo,x i) + (4M/3) (uf)

- (0.9) (M vo,x i) + M vo,y j - (4M/3) (uo,x i) = (4M/3) (uf)

- (0.9) (vo,x i) + vo,y j - (4/3) (uo,x i) = (4/3) (uf)

- (0.675) (vo,x i) - (uo,x i) + vo,y j = uf

(- (0.675) (vo,x ) - (uo,x )) i + vo,y j = uf

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