ED - ESTUDOS DISCIPLINARES

Prévia do material em texto

1-) (A)
A=36,87° B=53,13° C=3,375N
F12=0,015N F13=3,6N F23=3,375N
Fq1q3=3,6N
Fq2q3x=0,8X3,375 Fq2q3x=2,7N
Fr²=(Fq1q3+Fq2q3x)²+(Fq2q3y)²
Fr=6,62N
2-)(E)
Cos°=ca/hip Cos°=6,3/6,62
Cos°=0,92 Cos°=17,88°
3-)(A)
A=F/m
A=(((9000000000x0,001x0,001x0,0005)/(4,001)²/0,1)
A=2,8m/s²
4-)(B)
E=(9000000000x0,001x0,001)/4²
E=562,5N/C
5-)(C)
Emax para x= +/- (R/raiz de2)
X=+/-4/1,41 x=2,83m
6-)(B)
dE=(1/4PI£0).(dq/h²).cos° dE=(1/4PI£0).(dq/h²).(x/h)
dE=(1/4PI£0).(dq.x/h³) dE=(1/4PI£0).(dq.x/r²+x²)^3/2
depois da integração:
E=(1/4PI£0).(x/x²)^3/2.Q
E=(1/4PI£0).(Q/x²)
7-)(A)
F=(1/4PI£0).[Q/(x-a).(x+a)]
F=9000000000x[0,000005/(9-5).(9+5)]
F=803,57 I N/C
8-)(E)
F=(1/4PI£0).[Q/(x-a).(x+a)]
F=9000000000x[0,00005/(85-5).(85+5)] F=6,25 I N/C
9-)(C)
V200=(9000000000x0,00005)/200 V400=225
V400=(9000000000x0,00005)/400 V400=112,5
V600=(9000000000x0,00005)/600 V400=75
V800=(9000000000x0,00005)/800 V400=56,25
Assim temos:
V200-V400=112,5m V400-V600=37,5m V600-V800=18,75m
10-)(A)
Trab=q.v Trab=0,002x(800-200) Trab=1,2J
11-)(A)
Eco=EPa 0,5.m.v0²=q.d d=(2mE)/(B²q) d=(2x0,000004x200)/(0,5²x0,032) d=0,2m
12-)(E)
F=qE+qvB F=qE F=0,032x200 F= -6,4jN
13-)(A)
(B-A)=0,3k (C-B)=-0,2j
Fab=I(B-A)xB Fab=4x0,3Kx0,5j Fab=-0,6i
Fbc=I(C-B)xB Fbc=4x-0,2Kx0,5j Fbc=0
14-)(B)
Trab=m.B Trab=(4x(0,2x0,3i))x0,5j Trab=0,12K
15-)(D)
Qgelo+Qfusao+Qequilibrio+Qagua=0
6x0,5x26+6x80+6T2+70T2-1050=0 76T2=492 T2=6,5°C
16-)(A)
Qgelo=mC(T2-T1) Qgelo=15x0,5x26 Qgelo=195cal
Qagua=mc(T2-T1) Qagua=76x1x-6,5 Qagua=494cal
Sobra: Q=494-195=299
Q=m.L 299=m.80 m=3,74g e Te=0°C
17-)(C)
Qab=nvc(tb-ta)+Tabab(área do trapézio)
Qab=nR1,5TB-nR1,5Ta+80 Qab=pb.vb.1,5-pa.va.1,5=80 Qab=8.10.1,5-8.2.1,5+80
Qab=176atm.L
18-)(B)
DeltaUab=Qab-Trabab Deltaab=176-80 Deltaab=96atm.L
19-)(C)
Trabab=[(2.6-12.2)/1-1,67]+nRTLn(va/vc)
Trabab=[(2.6-12.2)/1-1,67]+12.2Ln(2/6) Trabab=-8,45atm.L(x100) Trabab=-845J
20-)(A)
Ca- Isometrico
Qca=Pv.Ln(Va/Vc) Qca=24.Ln(2/6) Qca=-26,37atm.L(x100) Qac=-2637J
21-)(A)
Ea=E2-E1 Ea=((9000000000x0,000025)/0,1²)-((9000000000x0,0000125)/0,15²)
Ea=1,75x10^7
Eb=E2-E1 Eb=((9000000000x0,0000125)/0,1²)-((9000000000x0,000025)/0,35²)
Eb=1,3086x10^7
Fa=qxEa Fa=0,004x1,75.10^7 Fa=7x10^4
Fb=qxEb Fb=0,004x1,3086.10^7 Fb=5,23x10^4
22-)(D)
dE=(1/4PI£0).((&.Q)/r²).sen° dE=(1/4PI£0).((&/r).sen°d°
após integração E=(1/4PI£0).(&/r).2 E=4,498x10^17
F=qE F=0,06x4,498x10^17 F=2.689x10^17
23-)(E)
Ea=(9x10^9x-2x10^-9)/1² Ea=-18 Eb=(9x10^9x1x10^-9)/0,63242² Eb=22,5025
Ep=Ea=Eb Ep=4,5025
24-)(A)
E1=(1/4PI£0)x(q/l²) E12=2(1/4PI£0)x(q/l²) E34=2(1/4PI£0)x(ql²)
Ex=2(1/4PI£0)x(q/l²).cos45° Ex=(q.raiz2/2PI£0l²)
25-)(A)
E=9x10^9.4x10^-6 E=9000
F=q.E F=1x10^-6x9000 F=09x10^-3 a=9x10^-3/0,002 a=4,5m/s²
T=2PI/raiz4,5 T=2,96
26-)(C)
R1=m1.v1/q1.B R1=0,2.0,35/0,04.0,5 R1=3,5 
R2=m2.v2/q2.B R2=0,03.1,5/0,02.0,5 R2=4,5
T1=2PI.R1/V1 T1=2PI.3,5/0,35 T1=62,53s
T2=2PI.R2/V2 T2=2PI.4,5/1,5 T2=18,85s (T1-T2)/2=21,99s
27-)(A)
V0=0 V0=VA+VB+VC+VD
VD=(9.10^9x3.10^-6/2,5+9.10^9x-2.10^-6/2,5+9.10^9x1.10^-6/2,5) VD=14400
Qd=14400.2,5/9.10^9 Qd=4x10^-6
28-)(D)
Vp=Va+Vb+Vc Vp=(9.10^9x4.10^-6/11+9.10^9x-2.10^-6/10+9.10^9x1.10^-6/6,7)
Vp=9,533x10^4
V0=Va+Vb+Vc V0=(9.10^9x4.10^-6/5+9.10^9x2.10^-6/8+9.10^9x1.10^-6/6,7)
V0=2,295x10^4
Trabp0=q(Vp-V0) Trabab=-0,5.10^-6(9,533x10^3-2,295x10^4) Trabp0=6.710x10^-3
29-)(B)
M=lan M=8x((4+1).3/2).0,5i-0,866j m=30i-54,96j
C=m.b C=30i-51,96j.10j C=300k
30-)(B)
Vac=(9.10^9x1.10^-6)4 Vac=2250 Vbc=(9.10^9x2.10^-6)4 Vbc=4500 VC=Vac+Vbc=6750
Vad=(9.10^9x1.10^-6)3 Vad=3000 Vbd=(9.10^9x2.10^-6)8,544 Vbd=2106,74
VD=Vac+Vbc=5406,74
Trabcd=q.(vc-vd) Trabcd=0,0012.(674-5106,74) Trab=1.9719j
31-)(A)
Fcp=Fmag B=mv/Rq B=9,11.10^-31x1,41.10^6/0,05x1,6.10^-19 B=1,605x10^-4
T=2PIR/v T=2PI.0,05/1.41.10^6 T=1.114.10^-7
Fmag=qvB F=1,6.10^-19x1.605^-4x1,41.10^6 Fmag=3,62x10^-17
32-)(A)
Q12=5.4.LN(10/4) Q12=18,33atm ou 1833J
Pa.Va/Ta=nR nR=5.4/200 nR=0,1
Q31=0,1.1,5.(20-200) Q31=-18atm ou 1800J
TrabAB=2.(4-10) TrabAB=-12atm ou -1200J
Delta31=0,1.1,5.(200-80) Delta31=18atm ou 1800J
33-)(E)
A=2.10/1200(95-20) A=2,333.10^-5
E%=(012,22.10^-5-2,33.10^-3/2,22.10^-5)x100 E=4,955%
34-)(E)
Qgelo+Qfusão+Qagua(gelo)+Qagua=0
Mg.0,5.10+80mg+20mg-5250=0 105mg=5250 mg=50g
35-)(C)
Qganho+Qcedido=0 271,9295T2=5339,22 T2=19,64°C
Qcobre=75.0,0983.(19,64-312) Qcobre=-2023,36cal
Qvidro=45(19,64-12) Qvidro=343,8cal
Qagua=220.1.(19,64-12) Qagua=1680,2cal
36-)(B)
Qganho+Qcedido=0 750T2=16250 T2=21,67°
Qagua=500.1.(21,67-80) Qagua=-29165
Agua quente: Q=500.1.(0-80) Q=-40000 Gelo: Q=450.0,5.(0-30) Q=6750
Sobra: Qagua-Qgelo=40000-6750=33250cal
Q=m.l 33250=m.80 m=415,628g
Portanto: 450-415,628=34,375g
37-)(A)
Qganho+Qcedido=0
150.80+150.1.70+mv(-540)+mv.1.(70-100) 570mv=22500 mv=39,47g
Qgelo=150.80+150.1.70=22500 Qvapor=39,47.(-540)+39,47.(-30)=-22497,9cal
38-)(E)
Pa.va/ta=pb.ba/tb pa07200/800 pa=9atm
nR=pa.va/ta nR=9.2/400 nR=0,045atm.L/k
Qab=pa.va.Lm(vb/va) Qab=9.2.Ln(6/2) Qab=19,778atm.L
Trabab=Qab=19,7748atm.L
Deltaab=0
39-)(B)
Ea=9.10^9.10.10^-6/0,4² Ea=562500
Eb=9.10^9.20.10^-6/0,4² Eb=1125000
Em=Eb-Ea Em=1125000-562500 Em=562500
40-)(C)
Eac=9.10^9.1.10^-6/4² Eac=562,5
Ebc=9.10^9.2.10^-6/4² Ebc=1125
Em=Ebc-Eac Em=11250-562,5 Em=562,5