Ed 21 41 3 semestre engenharia

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17
QAB= ΔAB= 8*10*3/2 –GAB= 8*2*3/2+80
QAB= 120-24+80
QAB= 176 atm*l

18 – B
ΔU= Q-G
ΔVAB= QAB-GAB
ΔAB=176-80
ΔAB= 96atm*l

19 – C
Ca → isotérmico
Qca=Pv*Ln(Va/Vc)
Qca=24*Ln(2/6)
Qca=248(-1,0986)
Qca=-26,37atm*L*100
Qca=-2637j

20 – A
c->a
Q= p*v ln(Va/vc)
Q=12*2*ln(2/6)
Q= -26,36 atm*l *100
Q= -2636,6j


21 – A
EA=E2-E1
EA=p*10^9*Q2/0,10^2-9*10^9*Q2/0,15^2EA=9*10^9*25*10^-6/0,10^2-9*10^9*12,5*10^-6/0,15^2
EA=2,25*10^7-5*10^6
EA=1,75*10^7Vm

EB=E1+E2
EB=0*10^9*Q1/0,10^2+9*10^9*Q2/0,35^2
EB=9*10^9*-12,5*10^-6/0,10^2+0*10^9*15*10^-6/0,35^2
EB=11,25*10^6+1,83*10^-6
EB=1,3086*10^7 V/m

FA=4*10^-3*1,75*10^7
FA=7*10^4N

FB=9*10^-3*1,3086*10^7
FB=5,23*10^4N

22- D
λ =12,56*10^-6/11*4
λ =9,995*10^7*10*10^7

dEy=9*10^9*λ*Q/r^2 sem0dEy=9*10^9*λ*dC/r^2*sen0
dEy=9*10^9*λRd0*sen0/r^2
dEy=0*10^9*λ/r*sen0d0
π
ʃdEy=9*10^9*λ/r ʃ sen0d0
o
π
Ey=9*10^9*λ/r[cos0]
O
Ey=9*10^9*λ/r(1+1)
Ey=9*10^9*λ/r*2
Ey=4,498+10^17

F=q*E
F=60*10^-2*4,498*10^17
F=2,698*10^17


23 – E
Ep=Ea+Eb
Ea=9*10^9*-2*10^-9/1^2
Ea=-18

Eb=9*10^9*1*10^-9/0,63242
Eb=22,5025

Ep=-18+22,5025
Ep=4,5025

24 –E
E1=1/4πEo*9/L^2
E12=2*1/4πEo*9/L^2
E34=2*1/4πEo*9/L^2
Ex=2*2*1/4πEo*9/L^2
Ex=2*2*1/4πEo*9/L^2*cos45
Ex=2*2*14πEo*9/L^2*√2/2
Ex=1/2πEo*9/L^2*√2
Ex=9√2/2πEoL^2

25 – A
E=9*10^9*4*10^-6/2^2
E=9000

F=q*E
F=1*10^-6*9000
F=9*10^-3
a=F/n
a=9*10^-3/0,002
a=4,5n/s^2
w=√4,5
w=2,12
T=2π/√4,5
T=2,96

26 – C
R1=m1*v1/q1*b
R1=0,2*0,35/0,04*0,5
R1=0,07¹0,02
R1=3,5mR2=m2*v2/q2*b
R2=0,03*1,5/0,5
R2=0,045/0,02
Rs=4,5m

T1=2πR2/vr
T1=21*3,5/0,35
T1=62,835

T2=2πR2/v2
T2=2π*4*2/1,5
T2=18,05s

½(T1*T2)= ½ *43,98
21,99

27 – A
Vo=0
Vo=Va+Vb+Vc+Vd
-Vd+0=9*10^2*3*10^-6/2,5 + 9*10^9*(-2*10)^-6/2,5 + 9*10^9*1*10^-6/2,5
-Vd=-10800+(-7200)+3600
-Vd=-14400
Vd=14400

14400=9*10^9*qd/2,5
36000/9*10^9=qd
Qd=4*10^-6

28 – D
A=(0,-5)
B=(8,0)
C=(-3,0)P=(0,6)

BP^2=8^2+6^2
BP^2=69+36
BP=10

CP^2=6^2+3^2
CP^2=45
CP=6,7

AP=11

29 – B
M=ian^n
M=8((4+1)*3)/2*0,5i-0,866j
M=8*7,5(0,5*0,866j)
M=30i-51,96j A/m^2
C=30i-52,96+10j
C=300K N*M

N=0,5i-0,866j

30 - B
A)
Vac=9*10^9*1*10^-6/4 = 2250
Vbc=9*10^9*2*10^-64 = 4500
Vc=Vbc+Vac = 4500+2250 = 6750

Vad=9*10^9*1*10^-6/3 = 3000
Vbd=9*10^9*2*10^-6/√3^2+8^2 = 2106,74Vd=Vad+Vbd = 3000+2106,74 = 5106,74

B)
Z=q(Vc-Vd)
Z=0,0012-(6750-5106,74)
Z=1,9719J

31 - A
A)
Fep=Fm2q
Mv^x/r = qVrB
B=mv/R*q
B=9,11*10^-31*1,41*10^6/0,05*+1,6*10^-19
B=-1,605*10^-4T
B)
T=2πR/v
T=2π0,05/1,41*10^6
T=2,22*20^-7/2
T=1,114*10^-7S
C)
Fm2q=qVB
F=1,6*10^-99*-1605*10^-4*1,14*10^6
F=-3,62*10^-17

32 – A
P3V3/T3 = P2V2/T2
2*4/T3 = 2*10/2
T3*20 = 1600
T3= 1600/20T3=80K

Isotérmico T1=T2=400K
P1V1/T1 = P2V2/T2
5*4/400 = P2*10/400
Ps*4000=400
P2=8000/4000
P2=2atm

Q12=%*4ln(10/4)
Q12=20*0,9163
Q12=18,33atm*l
1atm*l=100J
18,33=x
Q12=18,33*100J
Q12=1833J

Q31=ncv(T3-T1)
Q31=n3r/2(80-200)
Q31=0,1*3/2(-120)
Q31=-18atm*l
1atm*l=100J
-18atm*l=x
Q31=-1800J

Pava=nRTA=nR=Pava/Ta
nR=5*4/200
nR=0,1

G23=P(V3-V2)
G23=2(4-10(G23=2(-6)
G23=-12atm*l
1atm*l=100J
-12atm*l=x
G23=-1200J

AU31=ncv(Tq-T3)
AU31=n3r/s(200-80)
AU31=0,1*3/4(120)
AU31=1atm*l=100J
18atm*l=x
AU31=1800J

33 – E
α=Ac/LcAo
Ey=(Vt-Vm)/Vt*100
αm=2,10/1200(95-20)
αm=2,333*10^-5°C^-2
Ey=12,22*10^-5-2,33*10^-5/2,22*10^-5*100
Ey=4,955l

34 – E
Gelo
Mg=
Q1=-10
Q2=0
Cgeb=0,5
Lgeb=80

Água
Ma=525
O1=30
O2=20
Cágua=1

Água, geloMag
Ceq=1
O1=0
O2=20

Qgelo+Qfusão+Qágua(gelo)+Qágua = 0
Mg*Ce(O2-O1)+mg*L7+mg*Ce(02-O1)+ma*Ce(O2-O1)=0
Mg*0,5(0-(-10)+mg*80+mg*1(20-0)+525*1(20-30)=0
5mg+80mg+20mg-5250=0
105mg=5350
Mg=5250/105
Mg=50g


35 - C
Cobre
Mc=75g
O1=312°C
O2=
Cgeb=0,0923cal/g°C

Recipiente de vidro
C=hscal/°C
O1=12°C
O2=

Água
Ma=220g
Cágua=1cal/g°C
O1=12°C
O2=

A)
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