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p 188 1-11 no 9 1. P = mv P = 0.028(8.4) P = 0.24 kg m/s

batter. pitcher. 5. F Δ T = mv F = mv m = 1300 kg v = 40000 m Δ T Δ T sec sec F = 1500 (40000) = 60000000 kg m F = 60 MN. s 2. 12. m bu v bu + m bl v bl = m bu v bu 1 + m bl v bl 1

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p 188 1-11 no 9 1. P = mv P = 0.028(8.4) P = 0.24 kg m/s

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  1. batter pitcher 5. FΔT = mv F = mv m = 1300 kg v = 40000 m ΔT ΔT sec sec F = 1500 (40000) = 60000000 kg m F = 60 MN s2 12. mbuvbu + mblvbl = mbuvbu1+ mblvbl1 .023(230) + 0 = (.023)(170) + 2vbl1 vbl1 = .69 m/s 15. FΔT = mv F (3.5x10-3) = .045 (45) F = 578.57 N impulse = .045(45) = 2.03 Ns 16. FΔT = mv F (8 x10-3) = 12 (8.5) F = 12750 N impulse = 12(8.5) = 102 Ns p 188 1-11 no 9 1. P = mv P = 0.028(8.4) P = 0.24 kg m/s 3. FΔT = mΔv F(3 x 10 -3) = .145 ( -52-39) F = 4398.33 N 4.4 kN 2. FΔT = mΔv 25(20) = 65Δv Δv = 7.69 m/s 4. (26 + 45) v + 6.4 (10) = 0 v = - .90 m/s boat left box right 6. mhvh + mcvc = (mh + mc) vhc1 95(4.1) + 85(5.5) = (95 + 85) vhc1 vhc1 = 4.76 m/s 7. mcvc + mlvl = (mc + ml) vcl1 12600(18) + 0 = (12600 + 5350) vcl1 vcl1 = 12.64 m/s 8. mc1vc1 + mc2vc2 = (mc1 + mc2) vc121 9300(15) + 0 = (9300 + mc2) 6 mc2 = 13950 kg 10. mass snow 3.5kg/min(90min) = 315 kg mvcar + mvsnow = (mcar + msnow) v1 3800(8.6) + 0 = (3800 + 315)v1 v1 = 7.94 m/s 11. mv+ mv = mv1 + m v1 222u(420) + 0 = 4uv1 + (222 - 4 )u(350) v1 = 4235 m/s

  2. m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 + 22. .44(3.30) + .22 (0) = .44 v11 + .22 v21 1.452 = .44 v11 + .22 v21 3.30 - 0 = v21 - v11 v21 = 3.30 + v11 v21 = 3.30 + v11 1.452 = .44 v11 + .22 v21 v21 = 3.30 + 1.1 1.452 = .44 v11 + .22( 3.30 + v11) v21 = 4.4 m/s v11 = 1.1 m/s 19. a,b,c all 380 95(4) d 380/.75 = 506.67 20. area under curve (triangle) is impulse 1/2bh 1/2(250)(.01) = 1.25Ns 1.25 = .06 Δv Δv = 20.83 m/s For Elastic Collisions Only m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11

  3. m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 + + 23. .45(3) + .9 (0) = .45 v11 + .9 v21 1.35 = .45 v11 + .9 v21 3 - 0 = v21 - v11 v21 = 3 + v11 v21 = 3 + v11 1.35 = .45 v11 + .9 v21 v21 = 3 - 1 1.35 = .45 v11 + .9( 3 + v11) v21 = 2 m/s east v11 = -1 m/s v11 = 1 m/s west rebound m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 m1 = m2 24. 2 - (-3) = v21 - v11 2 + (-3) = v11 + v21 5 = v21 - v11 -1 = v11 + v21 v21 = 5 + v11 -1 = v11 + v21 v21 = 5 + v11 v21 = 5 + (-3) -1 = v11 + ( 5 + v11) v21 = 2 m/s east -6 = 2v11 v11 = - 3 m/s v11 = 3 m/s west rebound

  4. m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 .06(2.5) + .09(1.15) = .06v + . 09v and 2.5 – 1.15 = v21 – v11 + 25. v21 = 1.35 + v11 .25 = .06 v11 + .09 v21 (1.35 + v11) .25 = .06 v11 + .09 v21 = 1.35 + .8 v11 v21 = 2.15 m/s east = .8 m/s east m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 m2v21 = 2.684 + m2(4.8) = 2.684 .22(8.5) + 0 = .22(-3.7) + m2v21 26. m2 = .56 kg m2v21 = 2.684 8.5 - 0 = v21 - (-3.7) v21 = 4.8 + m1v1 + m2v2 = m1v11 + m2v21 and v1 - v2 = v21 - v11 450(4.5) + 550(3.7) = 450v11 + 550v21 27. 4060 = 450v11 + 550v21 4.5 - 3.7 = v21 - v11 v21 = .8 + v11 4060 = 450v11 + 550v21 v21 = .8 + v11 4060 = 450v11 + 550 v21 = .8 + 3.62 (.8 + v11) v21 = .4.42 m/s v11 = 3.62 m/s ΔP1 = 450(3.62 - 4.50) = - 3.96 kg m/s ΔP1 = mΔv ΔP = 0 ΔP2 = 550(4.42 - 3.70) = 3.96 kg m/s ΔP2 = mΔv

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