respostas beer cap 11

CAPíTULO 11

11.1 x = 992 mm, v = 506 mm/s, a = 240 mm/s2.

11.2 t = 1,686 s, x = -14,85 m, a = 28,7 m/s2.

11.3 x = 0,24 m, v = 4,4 m/s, a = -24 m/s2.

11.4 x = 0,24 m, a = -0,44 m/s2.

11.7 (a) 6 s. (b) v = 288 m/s, a = 96 m/52, 9-±4 m.

11.8 (a) 2 s, 4 s. (b) x = 20 mm, -±4 mm.

11.9 v = 42,4 mm/s, x = 199,5 mm.

11.10 v = -453 mm/s, x = 1,31,0 mm.

11.11 x = 0,00206t4 + 2,1t + 10,8, v = 0,0082t3 + 2,1.

11.12 (a) 10,56 m, 5,28 m. (b) 5,52 m.11.15 281 m-2.

11.16 v = 3,25 m/s, x = 0,1366 m.

11.17 (a) 0,3 m/s. (b) 0,475 m, 0,525 m.

11.18 x = 0,52 m, v = 0,203 m/s.

11.21 (a) 1,72 m/s. (b) 1,079 s.

11.22 (a) 6,75 m. (b) 11,52 m/s.

11.23 1,609 m/s.

11.24 (a) 0,3 m. (b) 0,461 m.

11.27 -0,0065 m/s2, 21,1 s.

11.28 (a) 7,15 km. (b) -52,1 X 10-6 m/s2. (c) 49,9 mino

11.32 (a) x = 2,36voT, a = 'ir volT. (b) 0,363 Vo.

11.33 (a) 2 m/s2. (b) 60 m/s.

11.34 (a) 6 S. (b) 60 m.

11.35 (a) 22 m/s --'>. (b) 18,5 m/s --'>. (c) 13,14 m.

11.36 (a) 2,2 m/s2. (b) 8 s.

11.39 (a) 325 m. (b) 2,95 m--'>.

11.40 (a) 44,2 m/s r- (b) 39,2 m/s t·11.41 (a)0,755km.(b)65km/h.

11.42 (a) aA =.-2,07 m/s2, aB = 2,0 m/s2.

(b) 2,60 s antes de alcançar a zona de troca.

11.43 (a) 2,08 m/s2. (b) 3,27 m/s2.

11.44 (a) 3,59 m/s2. (b) 7,08 S. (c) 278 m.

11.47 (a)2,4m/s t.(b)0,6m/s J,. (c) 1,8m/s J,.

11.48 (a) aA = 0,036 m/s2 t; ac = 0,144 m/s2 J,.

(b) VB = 0,144 m/s t; 0,144 m J.11.49 (a) aA = 38 mm/s2 J,; aB = 25,3 mm/s2 J; ac = 12,67 mm/s2 J,.

(b) Vs = 203 mm/s t; 811 mm J.

11.50 (a) 915 mm/s r- (b) 305 mm/s t. (c) 1.830 mm/s J,.

(d) 1.220 mm/s J,.

11.51 (a) 600 mm/s --'>. (b) 1.200 mm/s <--o (c) 900 mm/s <-o

11.52 (a) aA = 50,8 mm/s2 --'>; as = 25,4 mm/s2 <--o

(b) Vs = 152,5 mm/s <--; 458 mm <--o

11.55 (a) (6,25 - 1,5 t2) mm/s2. (b) 18 mm.

11.56 (a) as = 50 mm/s2 J; ac = 77,5 mm/s2 J,. (b) 0,645 S.

(c) 16,13 mm.

11.57 (a) 5 em/s --'>. (b) O. (c) aA = 4,168 em/s2 <--;

ac = 3,125 em/s2 <--o

11.58

11.6111.6211.6311.6411.6511.6611.6911.7011.7111.72

11.7511.7611.77

11.7811.8111.8211.8311.8411.8611.89

11.9011.91

11.94

11.95

11.9611.9711.9811.9911.10011.10111.10211.10511.10611.10711.10811.11111.112

11.11511.11611.11711.11811.119

(a) aB = 8,75 em/s2 <--; ac = 12,5 em/s2 --'>.

(b) VA = 10 em/s <--; VB = 15 em/s --'>. (c) 30 em/s <--o

(b) x = -2,4 mt, v = 2,4 mt/s, 26,4 m.

(b) 5,83 S.

(b) 1.383 m. (c) 9 s, 49,5 S.

(b) 420 m. (c) 10,69 s, 40 S.

(a) 44,1 s. (b) 45,96 m/s2 r

18,63 em/s.

2,03 m/s2.

a! 0,609 s. (b) v = 375,6 m/s, x = 2,92 m.

a t = 576 s, x = 11,2 km. (b) 0,262 m/s2.

a -0,0:395 m/s2. (b) 0,444 m/s.

a 1:3.17 m. (b) 17,91 S.

O carro B está 43,1 m na frente do carro A.

a 1.973 s. Ib! 0,.365 m/s, 0,1825 m/s.

a 9..35 min.b! 31,.3 km!h..a 0..37-1 m/s. ,bi 0.2.31 m.

,a) 106,6 1.:111/h.,b' .394 m.

(a) 3,19 s. l,b 62,6 m.

(a) 5,6 m/s2. (b i 3,33 m/s2.

-4,8 m.

(a) 0,18 m/s2 "'Ç 36,9°.

(b) 0,9 m/s "'Ç 36,9°, O.

(c) 0,18 m/s2 5:".36,9°.

(a) 2,83 m/s t. (b) 2,18 m/s <--. (c) 0,94 m/s J,.

(a) 6,14 m/s.

(b) t = 1,757 s, x = 1,206 m, 1j = 0,761 m, Li!. 10,9°.

(a) r = 50 em. J; v = 108,5 em/s "'Ç 46,3°;

a = 1.857,5 em/s2"F 85,4°.

(b) r = 45,25 em "'Ç 6,0°; v = 14,13 em/s Li!. 31,8°;

a = 175,75 em/s2 5:". 86,9°.

v=)R2(1+wn2t2)+c2, a=wnR)4+wn't2•(a) v = 0,9 m/s, a = 1,08 m/s2. (b) 3,82 S.

(a) 115,3 km/h :5 vo :5 148,0 kmJh. (b) 6,66°, 4,05°.

4,87 m/s :5 vo :5 11,44 m/s.

(a) 2,87 s. (b) 79,5 m. (c) 9,93 m.

3,04 m < h < 5,12 m.215 m.

O :5 d :5 0,524 m.

6,98 m/s.

(a) 9,34 m/s. (b) 9,27 m/s.

0,68 m/s :5 vo :5 1,2 m/s.

2,65 m/s.

(a) 3,96°. (b) 375 m. (c) 17,51 s.

(a) 14,87°. (b) 0,1052 s.

(a) 4,13 m. (b) 59,5°.

(a) 108,7 m. (b) 30°. (c) 27,2 m.

78,1 km/h Li!. 56,3°.

(a) 1,545 m/s "F 62,8°. (b) 1,586 m/s "'Ç 6(1'

(a) 1,48 m/s Li!. 38,6°. (b) 1,44 m/s L 3S.3'

* Esses problemas sofreram transformações de unidades. Suas respostas são aproximadas.

CAPíTULO 1211.120 1.522 nós "'<; 17,37°.

11.123 1a1400 mm/s2 j. (h) 894 mm/s d. 63,4°.

11.124 (a) 17,43 em/s!l:,. 66,6°. (h) 14,3 em/s "'<;68,6°.

11.125 Ia) 0,96 m/s2 "'<;22,4°. (h) 1,93 m/s"'<; 22,4°.

11.126 (a) 0,93 m. (h) 12,1 m/s "'<;86,4°.

11.127 (a) 1,175 m/s!l:,. 10°. (h) 0,1675 m/s!l:,. 10°.

11.128 3,34 m/s 'iP" 81,9°.

11.129 14,30 kmJh d. 36,4°.

11.130 24 kmJh 'iP"58,6°.

11.133 (a) 0,122 m/s2. (h) 0,001 m/s2.

(e) 0,018 m/s2.

11.134 (a) 27 m/s. (h) 26,1 m/s.

11.137 (a) 2 em/s2. (h) 2,71 em/s2.

11.138 8,56 s.

11.139 0,680 m/s2.

11.140 (a) 83,8 kmJh. (h) 3,71 m/s2.

11.143 (a) 326 m. (h) 62,8 m.

11.144 (a) 0,75 m. (h) 1,155 m. (e) 0,75 m.

11.145 (a) 8,16 m/s d. 40°. (h) 4,04 m.

11.146 16,35 m/s d. 4,0°; 16,35 m/s "'<;4,0°.

11.147 (a) 0,634 m. (h) 9,07 m.

11.148 V1/gVA.11.151 (R2 + e2)/2wnR.

11.152 0,75 m.

11.153 149,8 Cm.11.154 1.425 Cm.

11.155 25.920 kmJh.

11.156 12.320 kmJh.

11.159 528 km.

11.160 50,7 h.

11.163 (a) v = (3,6 m/s)er - (43,2 m/s)ee;

a = -(522 m/;)er + (28,8 m/s2)ee.

(h) v = (28,8 m/s)ee; a = -(152 m/s2)er: A trajetória é umcírculo de 7,2 m de raio.

11.164 (a) v = 3rrh ee; a = -4~h er.(h) O = 2nrr, n = O, 1, 2 ....

11.165 (a) v = (2 m/s)er: a = (8 m/s2)ee.

(h) v = (4,24 m/s)er + (1,414 m/s)ee;

a = (5,66 m/s2)er + (5,66 m/s2)ee.

11.166 (a) v = 2,83t m/s, a = 2,83 m/s2.

(h) 00; A trajetória é uma linha reta.

11.169 Od senf3

sen'(f3 - O) . _

11.170 (a);- = -wdJ2, B = w/2. (h) r = - 3w2d/4, 0= O.

11.171 225 km/h.

11.172 v = 97,9 kmJh; f3 = 49,7°.

11.175 bew'eíB' J4+02.

11.176 bw: .J36 + 40' +04•O

11.180 tan-l[R(2+w=t2)/c~4+w=t'].

11.181 (a) 0x = 90°, 0y = 123,7°, O: = 33,7°.

(h) 0x = 103,4°, 0y = 134,3°, O: = 47,4°.11,182 (a) 0,4 s. (h) 168,5 m.

11.183 (a) ±1,2 m/s. (h) 4,8 s. (e) 2,34 m, -2,30 m.

11.185 (a) aA = 20 m/s2~; aB = 6,67 m/s2 ~.

(h) 13,33 m/s ~; 13,33 m ~.

11.186 (h) x = 52 m, v = 36 m/s, 164 m.

11.188 10,64 m/s o:; Vo o:; 14,48 m/s.

11.189 (a) d = 6,52 m, Ct = 45°.

(h) d = 5,84 m, Q = 58,2°.

11.191 (a) 250 m. (h) 82,9 kmJh.

11.192 4,79 m/s2.

1346

12.1

12.212.512.612.712.812.912.1012.1212.1512.1612.18

12.19

12.2012.2112.24

12.27

12.28

12.29

12.3012.3112.3412.3512.3812.3912.4012.4212.4312.4412.4512.4612.47

12.50

12.5112.5212.5312.5412.5512.5812.5912.62

12.63

12.64

12.65

12.6612.6712.7012.7112.72

m = 2,000 kg em todas as latitudes.(a) 19,56 N. (h) 19,61 N. (e) 19,64 N.75 N.

(a) 0,933. (h) 63,8 m.

(a) 460 m. (h) 10,19 s.

(a) 229,1 kmJh. (h) 184,3 kmJh.

(a) 9 m/s. (h) 0,233.612 N.

(a) 51,7 m. (h) 61,9 m.

(a) 61,1 m. (h) 18,78 kN tração.

(a) 0,97 m/s2 !l:,. 25°. (h) 47,43 N.

(a) 1,95 m/s2!l:,. 25°. (h) 54,72 N.

(a) aA = 2,26 m/s2 !: aB = 0,755 m/s2 j;se = 0,755 m/s2 ~.

(h) TA = 75,5 N, Te = 90,6 N.

Sistema 1: (a) 3,22 m/s2 ~. (h) 3,11 m/s ~. (e) 0,932 s.



(a) a = 8,34 m/s2~; T = 16,19 kN. (h) 2,45 m/s2.

(a) 11,52 m/s2 <-o (h) 0,787 m~.

0,347 m/;%/Fo.

Jkj;;;(~l'+x~ -l).(a) a.{ = 7,27 m/s2~; aB = 9,70 m/s2~;

se = 10,30 m/s2 ~.

(bl 24.2 N.

(a) aA = 6,83 m/s2~; aB = 9,76 m/S2~; se = 10 m/s2(M 29,3 N. (e) 237 N.

(a) 2,59 m/s2 <-o (h) 9,81 m/s2 !l:,. 25°.

Ia) 2,74 m/s2 7' 30°. (h) 0,63 m/s 7' 30°.

2,49 m/s.

(a) 36,9°. (h) 3,88 m/s.

(a) 2,95 m/s. (h) 12,74 N.

(a) 1,75 N. (h) 1,22 N "'<; 53,8°.

0,732 m/s o:; v o:; 4,34 m/s.434 N.

(a) 327 N!l:,. 73,6°. (h) 402 N!l:,. 68,1°.

(a) 176,4 N. (h) 103,5 N.

(a) 701,6 N. (h) 1.026 N.

(a) 201 m. (h) 515 N j.-51,6° o:; O o:; 51,6°.

.Jgr tantO - <,/>,) '5 v '5 .Jgr tan(H <,/>,J.

(a) 33,0 kmJh. (b) 51,8 kmJh.

(a) 0,247W. (b) 13,33°.

6,91°.

0,400.

7,67 m/s.

(a) 14,4 m/s. (b) 2,9 X 10-3 N.

0,315.

elVLlmdv~.

1.085 rev.VO V-;;(a) Fr = -31,6 N, Fo = -6,96 N.

(b) Fr = -2,41 N, Fo = 4,93 N.

(a) Fr = -3,97 N, Fo = 0,5 N.

(b) Fr = -1,775 N, Fo = 0,0988 N.

(a) 1,21 m/s !l:,. 60°. (b) 10,77 m/s2 "'<; 60°.

(a) 7,84 N d. 45°. (b) 6,84 m/s2 "'<; 45°.

(a) 335 mm. (b) 1,304 m/s.

(a) f = 72 m/s2 . (b) 1,25 N.

(a) 126,6 N. (b) 5,48 m/s2~. (e) 4,75 m/s2 ~.

respostas beer cap 11

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