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‫ﺍﻹﺠﺎﺒﺎﺕ‬

‫ﺍﻹﺠﺎﺒﺎﺕ‬ ‫ﺍﻟﻔﺼل ﺍﻟﺜﺎﻟﺙ‬

‫ﺍﻟﻔﺼل ﺍﻷﻭل‬

8 m, 7.8 m/s (2 2 m/s, r=−i (4 6.3 −2.1i+2.8j m/s (6 2.8 m/s2, 1.3 m/s, 4.7 m, 0.5 s (8 4.5i−2.25j m, −1.5j m/s (10 12.6 m (12 3i−4.4j m/s, 1.4 m (14 27.4 m/s (16 5.8 m/s (18 76° (20 63.4°, 14 m/s, 2.9 s (22 121.7 m (26 3.8 m (28 42 m/s (30 1.1 s, 1.5 m, 6 m (32 69.6 m (34 2.4 m/s (36 95 m/s2 (38 ‫ ﻻ‬، 8 m/s2 (40 1.2 m/s (42 2.4×105 s, 4.6×1012 m (44 −4.7 m/s2, −1.1i+1.5j m/s (46 15.5 m (48 −17.3j m/s, 20 m/s (50 −10i−17.3j m/s 36 s (52 ‫ ﺸﻤﺎل ﺍﻟﻐﺭﺏ‬2.4°, 2.01 m/s (54

19.4 m/s2 (2 (124°,3.6),(−67°,13),(−53°,5) (4 15.5°, 132 m (6 2.3°, 11.2 (10 −74°, 9.9 (12 50 m, 29° (14 (−74°, 3.6), (100°,5.3), (−30°,3.4) (16 32°, 5.7 (18 C=α(i−2j), C=−i+2j, 57° (20 117°, (13,5,−7) (22 7.1 (24 142° (26 66° (28 120° (32 45°, 18 (34 0.7i−0.7j, 4i+0.8j (36 −0.1i+0.2j−0.1k

m/s2,

‫ ﻟﻠﻐﺭﺏ‬1 m/s (56

‫ﺍﻟﻔﺼل ﺍﻟﺭﺍﺒﻊ‬

−36°, 7.2 N (2 5 N(‫ )ﺝ‬4 N (‫ )ﺏ‬3 N (‫( )ﺃ‬4 30 N, 10 N (6 ‫ ﻻ‬، 0.049 (8 5.9 m/s2 (10 20 m/s, 100 m, 2 m/s2 (12 98 N (14 2.55 s, 19.6 N (16 2.7 m/s2 (18 2 3.2 m/s , 4.9 m/s2 (20 ‫ ﺘﺒﺎﻁﺅ ﻟﻸﻋﻠﻰ‬،−3.6 m/s2, 49 kg (22 0،‫ ﺘﺴﺎﺭﻉ ﻟﻸﺴﻔل‬3.6 m/s2 ‫ﺃﻭ‬ 13.6 s, 2.4 s (24

345

−3

8.3×10

‫ﺍﻟﻔﺼل ﺍﻟﺜﺎﻨﻲ‬ m/s2,

2.5 m/s (2 7×1013 years (6 2.2 m/s, 0, −1.25 m/s, 10 m/s (8 14 km/h (10 200 m, 10 s (12 16.1 m/s2, 9.9 m/s (14 31 m, 12.6 m/s2 (16 11 m, 9.6 m/s2 (18 33 m (20 20 m/s2, 110 m/s, 80 m/s (22 1.13×1014 m/s2 (24 1 s, 12.5 m, 11.1 m/s2 (26 36 m/s, 60.6 s (28 16.25 m/s, −8.75 m/s2 (30 208 m (32 37.5, 8.7 s (34 ‫( ﺍﻟﺤﺼﺎﻥ ﺍﻟﺨﻠﻔﻲ‬36 20 m/s, 100 m (38 85 m/s, 8.7 s (42 44 m (44 78.4 m, 0.125 m/s2 (46 29.4 m/s, 44.1 m (48 370 m, 86 m/s, 610 m, 110 m/s (50 ‫ ﻨﻔﺴﻬﺎ‬112.5 (56


‫ﻣﻴﺮزا‬ .‫ ق‬.‫ م‬.‫ د‬- ‫ﻣﺒﺎدئ اﻟﻔﻴﺰﻳﺎء اﻟﺠﺎﻣﻌﻴﺔ‬ ‫ﺍﻹﺠﺎﺒﺎﺕ‬ 192 kJ (56 3 s (‫ )ﺏ‬3×104 J (‫( )ﺃ‬58 −410 J, −340 J, 0.98 m/s (60

‫ﺍﻟﻔﺼل ﺍﻟﺴﺎﺩﺱ‬

(2.25,2) (2 ‫ ﻴﺴﺎﺭ ﺍﻟﻜﺒﻴﺭﺓ‬R/7 (4 ‫ ﻤﻥ ﻤﻨﺘﺼﻑ ﺍﻟﺼﻐﻴﺭﺓ‬13 m ‫( ﻋﻠﻰ ﺒﻌﺩ‬6

‫( ﻤﻥ ﻤﺭﻜﺯ ﺍﻟﻤﺭﺒﻊ‬L/6,L/6,L/6) (10

‫ ﻤﻥ ﻤﻨﺘﺼﻑ ﺍﻟﻘﺎﻋﺩﺓ‬L/3 135°, 1.4 m/s2 0.75 m, 0 52i−104j kg.m/s 7×105 J (‫ )ﺏ‬2×105(5i−4j)km/h (‫)ﺃ‬

250 N (‫ )ﺏ‬625 J ،25 kg.m/s (‫)ﺃ‬ 36 0, 4 m/s ‫ ﻋﻥ ﺍﻷﺜﻘل‬30 cm ‫ ﻴﺒﻌﺩ‬،‫ﻓﻲ ﺍﻟﻤﻨﺘﺼﻑ‬ 0.2 m/s2 ‫ﻴﺘﺤﺭﻙ ﻟﻸﺴﻔل ﺒﺘﺴﺎﺭﻉ‬ 0.98 m/s 23.6 km/h wvrel/(w+W) 13.6, 15 m 108 kg, 58 kg ‫ ﻟﻠﻴﺴﺎﺭ‬R/2 523 m/s, 1584×103 N

(12 (14 (16 (18 (20 (22 (24 (26 (28 (30 (32 (34 (36 (38 (40 (42

‫ﺍﻟﻔﺼل ﺍﻟﺴﺎﺒﻊ‬

16 kg.m/s (2 (2)1/2mv (4 443 N (6 3.25 g, 0.72 N (8 3 m/s (10 0.2K1, 0.45 kg (12 2/3 kg (14 1100 m/s (16 −0.12 m/s, −1.86 m/s (18 198 J (20 25 cm (22 4.8×105 J, 35.5 km/h (26 −330.5 m/s2, 9.4×104 J 20 J, 40 J (28 0.6 J (30 120° (34

83.2 N, 23.6 N, 11 kg (26 0, 8 m, 2 m/s, 2 m/s2 (28 1.4 m/s2 (30 104 N (32 111 N (34 458 N, 1.3 m/s2 (36 39.5 N (36 22.4 m/s (40 1.25 N, 0.4 N, 4 m/s2, 4.9 m/s2 (42 0.35 (44 5 ‫ ﻋﻥ ﺍﻷﺭﺽ‬2.5×10 km (46 6×1024 kg (48 7.8 km/s (50 1.87 year (52 4.9 m/s2, 8.4 N (54 1.1 m/s2, 11 N (56 3.7 m/s2 (58 2 0.04, 0.01 N, 0.2 m/s , 0.1 m/s (60 3 2 2 4πρ R Gm (1/ d − 1/(d − R / 2) )/ 3

(62

‫ﺍﻟﻔﺼل ﺍﻟﺨﺎﻤﺱ‬ 5200 J (2 0.8 J, 4 J (4 22.3 m/s (6 −61.3 J, 433 J (8 10 J (10 −1 J (12 −135.6 J (‫ )ﺝ‬0 (‫ )ﺏ‬226.5 J (‫( )ﺃ‬14 136.2 J (‫ )ﺩ‬271.8 J, 0 mgl/50 22.5 N 14.7 cm 25.9 cm 960 kJ, 240 kJ 0 (‫ )ﺝ‬588 J (‫ )ﺏ‬49 J (‫)ﺃ‬ 0, −77 J, 397 J, −320 J, 267 J 312.5 J 7.5×10−13 J 5 m/s, 11.2 m/s 4592 m, 2296 m 64 m/s 8.85 m/s 3.6 J, 0.4 2.5R 63 m 5.1 km/s, 1752 km

(16 (18 (20 (22 (24 (26 (28 (30 (32 (34 (36 (38 (40 (42 (44 (50 (52

346


‫ﺍﻹﺠﺎﺒﺎﺕ‬ (3Ml2+14Ml2) ω2/2،(3Ml2+14Ml2)ω (38

‫ ﻤﻥ ﺍﻟﻁﺎﻗﺔ ﺍﻷﺼﻠﻴﺔ‬2/3, 266.7 rev/min (40 mR2v/(I+MR2), mRv/(I+MR2) (42 (3m+M)/6(m+M)g, 3m(2gh)1/2/(3m+M)l (44 69°, 427 N, 150 N (46 53°, 60 N (48 u(h(h−2r)1/2/(r−h) (50 6100 N, 5900 N, 6800 N (52

‫ﺍﻟﻔﺼل ﺍﻟﻌﺎﺸﺭ‬

9.4 rad/s, 067 (2 18.8 rad, 0, 0.3 s, 0.6 kg (4 2.4 sin5t, 288 J, π/2, 2.4 m (6 1.3 m/s, 2.6 m/s (8 1.1 Hz, 98 N (10 9.8 J, 9.8 J, 78.4 N/m (12 0.016 s (14 3.1 cm (20 0.87 m, 378 J, 2.3 Hz (22 1.5 s, 3.5 m (24 34.2 rad/s, 39.5 rad/s (26 124 rad/s2 50 cm (28 (12g/7l)1/2 (30 ‫ ﻤﻥ ﺍﻟﻤﺭﻜﺯ‬5.2 cm (32 3 19 m/s, 3.5×10 N, 7.1×102m/s2 (34 6 N ،‫ ﻟﻸﻋﻠﻰ‬−2.5cm/s, 4.3cm, 3.1kg (36 0.72 m (38 (2κ/MR2)1/2 (40 2π(mR2/2kr2)1/2 (42

‫ﺍﻟﻔﺼل ﺍﻟﺤﺎﺩﻱ ﻋﺸﺭ‬

111 (2 20 kg (4 0.13%, 416 N (6 0.06 mm (8 −3.57×1010 m3 (10 314 N (12 7.1×106 Pa (14 2.9×104 Pa (16 5 5 10 Pa, 10 Pa, 970 mBar (18 6.1×103 kg/m3 (20 ρ=ρ0(1+ay),784 Pa, 118 Pa (22 α=10−4 0.1009 kg (24 347

0.5v0, 0.87v0 (36 ‫ ﻏﻴﺭ ﻤﺭﻥ‬1.8 m/s (38

‫ ﻏﻴﺭ ﻤﺭﻥ‬15.5 m/s, 22 m/s (40 15×10−4 J, 87°, 9 cm/s (42 ‫ ﻏﻴﺭ ﻤﺭﻥ‬−37°, 12.5 m/s (44

‫ﺍﻟﻔﺼل ﺍﻟﺜﺎﻤﻥ‬

1.2 m (2 248 m/s, 209 m/s (4 0, 0.09 m/s2, 1.6×10−4 rad/s (6 3×104 m/s,2×10−7rad/s (8 6×10−3m/s2 7 rad/s (10 −463 rad/s,−127 rad/s (12 −480 rad/s2 ، −210rad/s2 −272.5 rad/s ‫ ﺩﻭﺭﺓ‬160, −4500 rev/min2 (14

‫ ﺩﻭﺭﺓ‬19.5, −0.3 rad/s2 (16 71 m, −9.3 rad/s2, 60 rad/s (18 (µg/R)1/2 (20

‫ﺍﻟﻔﺼل ﺍﻟﺘﺎﺴﻊ‬

‫ ﻟﻠﺩﺍﺨل‬0.58 N (2 −k m.N (4 14ml2 (6 1.5 kg.m2 (8 ‫ ﺩﻭﺭﺓ‬50, 6.25 rad/s2 (10 5 rad/s2 (12 58 J, 0.9 s, 4.6 m/s, 13.4 m.N (14 3.4 J (16 −21.8 J،‫ ﺩﻭﺭﺍﺕ‬5, −0.7 m.N (18 14.6 W 5×104 J, 12.2 rad/s, 3 rad/s2 (20 2.9 kg.m2, 54 N, 36 N, 2 s (22 l2ω2/6g ‫( ﻴﺭﺘﻔﻊ ﻤﺭﻜﺯ ﺍﻟﻜﺘﻠﺔ ﻤﺴﺎﻓﺔ‬24 (9g/4l)1/2 (26 2MRθ/t2, 2Rθ/t2, 2θ/t2 (28 m(g−2Rθ/t2) 0.17 m2 (30 Iω2/2,mv2/2,Iω2/2+mv2/2 (32 17mg/7 ‫ ﺍﺴﻁﻭﺍﻨﺔ ﺃﻭ ﻗﺭﺹ‬mR2/2 (34 126 kg.m2/s, 76 kg.m2/s (36


‫ﻣﻴﺮزا‬ .‫ ق‬.‫ م‬.‫ د‬- ‫ﻣﺒﺎدئ اﻟﻔﻴﺰﻳﺎء اﻟﺠﺎﻣﻌﻴﺔ‬ ‫ﺍﻹﺠﺎﺒﺎﺕ‬ 30.026 cm 34.6 cm 10.9 °C 46.1 g 63.6 g 52 °C, 2.5×105 W 3.2×105 W 16 21 kJ 134 °C

(10 (14 (16 (18 (20 (22 (24 (26 (28 (30

1500 kg, 1/4 (26 882 Pa, 5 cm (28 9 (30 28.6 m/s, 53.3 m/s (32 8.14×103 N, 88.9 m/s (34 5.35×10−4 m2 (36 1.96×105 Pa (38 107 m/s (40 0.27 m3/s, 6.6×10−4 Pa (42 3.2 cm,4200Pa, 3 m/s, 0.75 m/s (44 781.25 kg/m3 (46 363 kg/m3 (50 0.5 g (52 0.056 N/m (54 0.7 mm (56 0.095 N.s/m2 (58

‫ﺍﻟﻔﺼل ﺍﻟﺜﺎﻨﻲ ﻋﺸﺭ‬

−4

6.8×10 Hz, 10.8 h (2 1.7π m−1, 10π rad/s, 5 Hz, 0.2 s (4 y = 2cos(10π t − 1.7π x ) 0.65 m, 1.3 m (6 y = 0.02sin(120π t − π x ) (8 15 g, 265 m/s (10 0.3 s, 40 m/s (12 1.3 rad, 5 cm (14 S2‫ ﻭ‬S1 ‫( ﻗﻁﻭﻉ ﻨﺎﻗﺼﺔ ﺒﺅﺭﻫﺎ‬16 880 Hz, 660 Hz, 220 Hz, 440 Hz (18 25 Hz, 2 m, 4cos(50π t )sin(π x ) (20 6.25 Hz, 3.2 m, 5.33 m, 16 m (22 31.25 Hz, 18.75 Hz 4.5 m, 8.5 m (24 100 dB, 20 dB (26 10 Hz, 211 Hz, 1.62 m (30 262 Hz, 1.3 m (32 162 Hz, 210 cm (34 474 Hz, 529 Hz (36 ‫ ﻤﻥ ﺍﻟﺒﺩﺍﻴﺔ‬7.6 cm, 6.2 cm, 3.3 cm (38 262 Hz ،‫( ﻤﻥ ﻁﺭﻑ ﻭﺍﺤﺩ‬40

61.6 m ،‫ ﻟﻸﺴﻔل‬1.62 m (42

‫ﺍﻟﻔﺼل ﺍﻟﺜﺎﻟﺙ ﻋﺸﺭ‬

19.4, −10.4 °F −62.2 °C, 56.7 °C 0.908 kJ/kg.K 1.7 kJ/kg.K

(2 (4 (6 (8

348


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