Extra Credit Opportunity

All exercise sets are assigned from the "Problems" section at the end of each chapter of the OpenStax University Physics Volume I textbook.

Ch 1 # 14, 30, 32, 50, 87; Ch 2 # 27, 40, 48, 51, 62, 68, 86

Section 101 due 1/23

Answers: 1-14)10^(19)kg,10^4kg,10^(21)kg,10^(25)kg,10^(23)kg,10^9m,10^(11)m, 10^7m,10^(-30)kg,10^(-27)kg,10^(30)kg; 1-30)10^(12)km^3,10^(11)mi^3,10^(27)cm^3;1-32)120km/h,exceeding limit;1-50)yes,yes,no,no,yes; 1-87)144vm^3,d=0.027%,h=0.031%,total=0.084%,V=143.5cm^3+/-0.1cm^3; 2-27)30.8m@54degreesNofW; 2-40)8700N@70.0degreesNofW; 2-48)3.0mm(-i-hat)+7.0mm(-j-hat)+3.0mm(k-hat),8.2mm,21.6mm;2-51)3.3km(i-hat)+6.6km(-j_hat),7.4km@63degreesSofE;2-62)0,-2.0x10^2m,-2.2x10^2m,-2.0x10^2m,3.0m,4.0m,5.0m,5.0m; 2-68)44.0(-i-hat)+17.0(-j-hat)+20.0(k-hat).44.0(i-hat)+17.0(j-hat)+20.0(-k-hat),24.0(-k-hat),18.0(-i-hat)+18.0(-k-hat);2-86)20.0(i-hat)+90.0(-j-hat)+90.0(k-hat),100,80.

Ch 3 # 18, 19, 25, 27, 31, 39, 41, 45, 46, 58, 67, 72

Section 101 due 1/30

Answers: 3-18)-g.-g,-g;3-19)top,yes@top,yes;3-25) (a)2.0km(-i-hat),5.0km(i-hat),(b)7.0km(i-hat); 3-27)2.0s,6.0m(-i-hat); 3-31)v=slope; 3-39)a=slope; 3-41)108m/s^2,11.0g's; 3-45)500m,200m/s; 3-46)(b)d,i,(c)c,e,g,l,(d)a,b,f; 3-58)28.0m/s,50.9s,713m; 3-67)(a)-8.23m,-18.9m/s,(b)-18/9m,-23.3m/s,(c)-32.0m,-28.7m/s,(d)-47.6m,-33.6m/s,(e)-65.7m,-38.5m/s; 3-72)8.29m,0.719s.

Ch 4 # 20, 23, 29, 31, 36, 46, 49, 57, 68, 72, 74

Section 101 due 2/6

Answers: 4-20)22km/h(i-hat)+22km/h(j-hat); 4-23)(a)8.0tm/s(i-hat)+6.0t^2m/s(k-hat).0,8.0m/s(i-hat)+6.0m/s(k-hat),(b)4.0m/s(i-hat)+2.0m/s(k-hat); 4-29)(a)6.0tm/s(i-hat)+21.0t^2m/s(-j-hat)+10.0t^(-3)m/s(k-hat),(b)6.0m/s(i-hat)+42.0tm/s(-j-hat)+30.0t^(-4)m/s(-k-hat),(c)12.0m/s(i-hat)+84.0t^2m/s(-j-hat)+1.25m/s(k-hat),(d)24.0m/s,190m/s,(e)9.0m/s(i-hat)+49.0m/s(-j-hat)+3.8m/s(k-hat);4-31)(a)sin(1.0t)(-i-hat)+cos(1.0t)(j-hat)+(k-hat),(b)cos(1.0t)(-i-hat)+sin(1.0t)(-j-hat); 4-36)1.8km;4-46)delta-x=54m; 4-49)(a)61m,(b)140m; 4-57)15.9degrees; 4-68)9cm; 4-72)22.5m/s@102degrees; 7-74)8.05m/s@82degrees.

Ch 5 # 20, 23, 29, 32, 40, 49, 54, 63, 66, 88, 90, 103

Section 101 due 2/13

Answers: 5-20)(a)100.0N(-i-hat)+300.0N(-j-hat),(b)316N@-72degrees; 5-23)(a)95.4N(i-hat)+282.6N(j-hat),(b)298.3N@71.4degrees,(c)298.3N@251.4degrees; 5-29)4.12x10^5N; 5-32)(a)child/wagon,(b)0.13m/s^2,(c)0; 5-40)6m/s^2; 5-49)5.0x10^2N;5-54)40m/s^2; 5-63)(b)1.5N,(c)15N; 5-66)700N; 5-88)5.1x10^3N/m; 5-90)6m/s^2 up ramp; 5-103)0.548m/s^2.

Ch 6 # 30, 33, 42, 43, 55, 68, 71, 73, 84, 108, 109, 130

Section 101 due 2/20

Answers: 6-30)740N,190N; 6-33)(a)7.69m/s^2,(b)4.33s; 6-42)(a)a=g[(m2-m1)/(m1+m2)],(b)2m1m2g/(m1+m2),(c)26.2N; 6-43)(a)2.0m/s^2,(b)7.8N,(c)-2.0m/s; 6-55)(a)0.737m/s^2,(b)5.71degrees; 6-71)(a)36.3mph,(b)0.234; 6-73)(a)179N,(b)2.90x10^2N,(c)8.29m/s; 6-84)(a)-313m/s,(b)9.80m/s; 6-108)3.2m/s^2; 6-109)3.53m/s^2; 6-130)(a)2.56rad/s,(b)5.71degrees.

Ch 7 # 25, 30, 34, 39, 44, 54, 58, 61, 64, 69, 74 (see 74's correction below), 86, 98, 101

74. (a) Find the useful power output of an elevator motor that lifts a 2500-kg load a height of 35.0 m in 12.0 s, if it also increases the speed from rest to 4.00 m/s. Note that the total mass of the load/counterbalanced system is 10,000 kg, however only the 2500 kg load is raised in height, but the full 10,000 kg is accelerated. (b) What does it cost, if electricity is $0.0900 per kW-h ?

Section 101 due 2/27

Answers: 7-25)(a)5.9E5J,(b)-5.9E5J,(c)0;7-30)(a)-1.3kJ,(b)-21.6kJ,(c) 22.9kJ,(d)0;7-34)(a) 1.8kJ,(b)-1.8kJ,(c)0;7-39)(a)2.31kN,(b)21.9kJ;7-44)Ka=250Kt;7-54)(a)3.5J,(b)-2.5J,(c)10.0N,(d)1.0J;7-58)18.5m/s;7-61)0.24;7-64)-1.2J;7-69)$148.50;7-74)(a)78.2kW,(b)$0.02;7-86)39J;7-98)547W;7-101)8.0J.

Ch 8 # 22, 23, 24, 42, 43, 49, 55, 71, 72, 74, 76

Section 101 due 3/6

Answers: 8-22)(a)33J,(b)-33J,(c)34J,(d)1.5J,(e)64J,31J;8-23)(a)0.07J,(b)-0.07J,(c)0.07J,(d)0.07J,(e)-0.07J,(f)0.5m;8-24)(a)2.7J,(b)-2.7J;8-42)(a)sqrt(6Rg),(b)6mg;8-43)3.5cm;8-49)(a)5.6m/s,(b)5.2m/s,(c)6.4m/s,d)no,(e)yes;8-55)(a)71m/s,(b)70m/s;8-71)3.6m/s;8-72)QED;8-74)(a)5.3m/s,(b)-56J,(c)5.3m/s,(d)1.1m; 8-76)2sqrt(hH).

Ch 9: Read online Lecture Notes and complete problems # 32, 34, 37

Section 101 due 3/13

Answers: 9-32) (a) i. 0.75 Ns, ii. 1.5 Ns, (b). i. 0.75 kgm/s, ii. 1.5 kgm/s; 9-34)6.0 kgm/s at 26 degrees;9-37)(a)47m/s,(b)-70.6kgm/s, (c) 70.6kgm/s,(d)2.35x10^5N

Ch 9: # 25, 31, 33, 35, 53, 57, 63, 73, 110, 117

Section 101 due 3/20

Answers: 9-25)(a)1.50x10^6N,(b)1.0x10^5N;9-31)20.0N(j~hat);9-33) 1.5kgm/s(i~hat)+7.5kgm/s(j~hat);9-35)0.122m/s(i~hat);9-53) 22.1m/s@-32.2degrees;9-57)736m/s@-6.21degrees;9-63) 2.77cm(i~hat)+0.69cm(j~hat), with origin at 100g locaction;9-73)Rcm= (0,0,h/4);9-110)Rcm = (2R/3, pi/8);9-117)Vc = M SQRT(2gh)/(SQRT(mM+M^2))(i~hat), Vr = m{SQRT(2gh)}/(SQRT(mM+M^2))(-i~hat).

Ch 10: # 32, 43, 47, 67, 71, 75, 78, 79, 81, 92, 94, 95

Section 101 due 3/27

Answers: #32:(a)3m/s,(b)1.5m/s;#43:(a)7.0rad/s,(b)22.5rad,(c)a(tangential)=0.1m/s^2,(d)a(centripetal)=4.9m/s^2;#47:0.78m;#67:7.1m/s;#71:30N;#75:1.7kg;#78:21N;#79:-5.64Nm(k~hat);#81:-58Nm(k~hat);#92:(a)0.49rad/s^2,(b)a1=-0.25m/s^2(j~hat), a2=0.098m/s^2(j~hat);#94:1.23m/s^2; #95:(a)3g/2,(b)3g/4

Ch 11 # 30, 31, 32, 39, 48, 57, 58; Ch 12 #32, 33, 34, 35, 41, 50

Section 101 due 4/3

Answers: #11-30:-1008J;#11-31:22m;#11-32:0.79mg;#11-39:(a)-.4kgm^2/s,0,1.35kgm^2/s,0,(b)0.95kgm^2/s;#11-48:(a)2.10x10^40kgm^2/s,(b)-1.12x10^24mN;#11-57:18km/s;#11-58:(a)-7.4rad/s, (b)0.93J;#12-32:20kg;#12-33:40kg;#12-34:5000N; #12-35:16kg,445N,889N;#12-41:778N,778N@45degrees; #50: 3.34x10^-6m.

Ch 13# 33, 35, 37, 38, 39, 40, 41, 42, 44, 45, 48, 50

Section 101 due 4/10

Answers: #33: 11.4km/s; #35: 5.86x10^(10)J; #37: (a) r1=4r2,(b) T1=8T2; #38:(a)0.0059m/s^2, (b) 0.0337m/s^2;#39: 5.07x10^(6)m; #40: 1.99x10^(30)kg; #41: 1.90x10^(27)kg; #42: (a) 2.6x10^(8)years,(b) 1.5x10^(13)solar masses; #44: (a)3.409x10^(-5)m/s^2, (b) 3.34x10^(-5)m/s^2, (c) same; #45: (a) 1.7x10^(-10)m/s^2, (b) 2.17x10^(5)m/s; #48: 1.90x10^(27)kg; #50: 1.8km/s.

Ch 14# 55, 62, 67, 68, 70, 71, 74, 77, 78, 79, 86, 89

Section 101 due 4/17

Answers: #55: (a)7.06x10^(6)N; #62: (a)100,(b)10, (c)1:100; #67: (a)0.0395kg, (b)4.96x10^(-5)m^3, (c)796kg/m^3; #68: (a)2.53x10^(-2)N, (b)7.05x10^(-3)N; #70: (a)8.4x10^(-2)m^3, (b)1.06N, (c)1.35x10^(-3); #71: (a)0.24, (b)0.72, (c)yes; #74: (a)1.6L,(b)yes; #77: (a)0.75m/s, (b)0.13m/s; #78: (a)22.2hrs, (b) 0.016s; #79: (a)12.6m/s, (b)80.0x10^(-3)m^3/s, (c)no; #86: 2.54x10^(5)N; #89: 3.3m/s.

Ch 15# 30, 42, 49, 50; Ch 16# 90, 91, 108, 112, 113, 115; Ch 17# 33, 35, 111, 119

Section 101 due 4/24

Answers: Ch 15: #30: 0.389kg, #42: 6.21cm, #49: 9.82m/s^2, #50: (a) SQRT(2); (b) SQRT(1.05); Ch 16: #90: 0.36m, #91: 0.63m, #108: (a) 230m/s, (b) 190Hz, #112: (a)55m/s, (b)10.0m, (c)0.18s, #113: (a)6.00m, 43Hz, (b)3.00m, 86Hz, (c)2.00m, 129Hz, (d)1.50m, 172Hz, #115: (a)134m/s, (b)1.4m, (c)96Hz, (d)0.01s; Ch 17: #33: (a)183m^(-1), (b)-1.11Pa, #35: 305Hz, #111: (a)880Hz, (b)735Hz, #119: 1120Hz.