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Chap7 - 5 Strategy Add the momenta of the three particles...

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5. Strategy Add the momenta of the three particles. Solution Find the total momentum of the system. [ ] tot 1 2 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 north south north ( ) north (3.0 kg)(3.0 m s) (4.0 kg)(5.0 m s) (7.0 kg)(2.0 m s) north 3 kg m s north m m m m v m v m v m v m v m v = + + = + + = + + = + = + = p p p p v v v r r r r r r r 7. Strategy The initial momentum is toward the wall and the final momentum is away from the wall. Solution Find the change in momentum. f i f i f i ( ) (5.0 kg)( 2.0 m s 2.0 m s) 20 kg m s, so 20 kg m s in the -direction . p p p mv mv m v v x Δ = = = = = − Δ = p r 14. Strategy Use the impulse-momentum theorem. Solution (a) Compute the changes in momenta for each direction. north east av east east 0 and . p p F t m v mv Δ = Δ = Δ = Δ = Find the magnitude and direction of f . v r 2 2 av 2 2 2 2 f north east north (15 N)(4.0 s) (15 m s) 25 3.0 kg F t v v v v m Δ = + = + = + = 15 N N 15 m/s north 1 1 f east 15 m s tan tan 37 north of east, so 25 m s at 37 north of east .
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