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Using Conservation of Momentum:
u = initial velocity
v = final velocity
mg = mass of girl
mb = mass of boy
Take the direction of the boy's motion as positive:

(u*mg + u*mb) = (v*mg + v*mb)
0 = -10m/s*30 + v*25
300 = 25v
v = 12 m/s

***If that 1 0 m s is in fact 10m/s and not 1.0***

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Q: If a 30 kg girl and a 25 kg boy face each other on friction free roller blades the girl pushes the boy who moves away at a speed of 1 0 m s The girl speed is m s?
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A 30 kg girl and a 25 kg boy face each other on friction free roller blades the girl pushes the boy who moves away at a speed of 1 0 m s the girls speed is m s?

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