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Answer Key 2.7

  1. x=ky
  2. x=kyz
  3. x=ky
  4. x=ky2
  5. x=kzy
  6. x=ky3
  7. x=ky2z
  8. x=ky6
  9. x=ky3z
  10. x=ky2z
  11. x=kzyp3
  12. x=ky3z2
  13. a
    A=kB(15)=k(5)155=k(5)5k=3
  14. a
    P=kQR(12)=k(8)(3)1224=k(8)(3)24k=12
  15. a
    A=kB(7)=k(4)(4)7=k4(4)k=28
  16. a
    A=kB2(6)=k(3)269=k(3)29k=69 or 23
  17. a
    C=kAB(24)=k(3)(2)246=k(3)(2)6k=4
  18. a
    y=kx3(54)=k(3)354=k272754=k2727k=1458
  19. a
    x=kY(12)=k(8)128=k(8)8k=128 or 32
  20. a
    A=kB2C(25)=k(5)2(9)25=k(75)k=2575k=13
  21. a
    y=kmn2d(10)=k(4)(5)2(6)k=10563(4)(5)2k=35
  22. a
    P=kTV(10)=k(250)(400)k=10(400)250k=16
  1. I=kV
    1st DataI=5 AV=15 Vk=findI=kV5 A=k(15 V)k=5 A15 Vk=13 A/V2nd DataI=findk=13V=25 VI=kVI=(13)(25)I=813 A
  2. I=kR
    1st DataI=12 Ak=findR=240ΩI=kR12 A=k240Ωk=(12 A)(240Ω)k=2880 AΩ2nd DataI=findk=2880R=540ΩI=kRI=2880 AΩ540ΩI=5.3¯ A or 513
  3. ds=km
    1st Datads=18 cmk=findm=3 kg18 cm=k(3 kg)k=18 cm3 kgk=6 cm/kg2nd Datads=findk=6 cm/kgm=5 kgds=(6 cm/kg)(5 kg)ds=30 cm
  4. V=kP
    1st DataP=32 kg/cm2V=200 cm3k=find200 cm3=k32 kg/cm2k=(200 cm3)(32 kg/cm2)k=6400 kg cm2nd DataP=40V=findk=6400V=640040V=160 cm3
  5. c=kP
    1st Datac=60,000k=findP=25060,000=k(250)k=60,000250k=2402nd Datac=findk=240P=1,000,000c=(240)(1,000,000)c=240,000,000 or 240 million
  6. t=kb
    1st Datat=5 hk=findb=75 h=k7k=(5 h)(7)k=352nd Datat=findk=35b=10t=3510t=3.5 h
  7. λ=kf
    1st Dataλ=250 mk=findf=1200 kHz250=k1200k=(250)(1200)k=300,0002nd Dataλ=findk=300,000f=60 kHzλ=300,00060λ=5000 m
  8. w=km
    1st Dataw=64 kgk=findm=96 kg64=k(96)k=6496k=232nd Dataw=findk=23m=60 kgw=(23)(60 kg)w=40 kg
  9. t=dv
    1st Datat=5 hd=findv=80 km/h5 h=d80 km/hd=5(80)d=400 km2nd Datat=4.2 hd=400 kmv=find4.2=400vv=4004.2v=95.24 km/h
  10. V=khr2
    1st DataV=33.5 cm3k=findh=8 cmr=2 cm33.5=k(8)(2)2k=33.5(8)(2)2k=1.0468752nd DataV=findk=1.046875h=6 cmr=4 cmV=khr2V=(1.046875)(6)(4)2V=100.5 cm3
  11. Fe=kv2r
    1st DataFe=100 Nk=findv=10 m/sr=0.5 m100 N=k(10 m/s)20.5 mk=(0.5)(100)(10)2k=0.52nd DataFe=findk=0.5v=25 m/sr=1.0 mFe=0.5(25)21.0Fe=312.5 N
  12. Lmax=kd4h2
    1st DataLmax=64 tonnesk=findd=2.0 mh=8.0 m64=k(2)4(8)2k=64(8)2(2)4k=2562nd DataLmax=findk=256d=3.0 mh=12.0 mLmax=(256)(3.0)4(12.0)2Lmax=144 tonnes
  13. V=kTP
    1st DataV=225 cck=findT=300 KP=100 N/cm2V=kTP225=k(300)100k=225(100)300k=752nd DataV=findk=75T=270P=150V=75(270)150V=135 cc
  14. R=kld2
    1st DataR=20Ωk=findl=5.0 md=0.25 cmR=kld220Ω=k(5.0 m)(0.25 cm)2k=(20Ω)(0.25 cm)25.0 mk=0.252nd DataR=findk=0.25l=10.0 md=0.50 cmR=(0.25)(10.0 m)(0.50 cm)2R=10Ω
  15. V=khd2
    1st DataV=377 m3k=findh=30 md=2.0 m377 m3=k(30)(2.0)2k=377(30)(2.0)2k=3.14162nd DataV=225 m3k=3.1416h=findd=1.75 m225=πh(1.75)2h=225π(1.75)2h=23.4 m

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