8/12/2019 Aieee Key 26

1/11

8/12/2019 Aieee Key 26

2/11

20 1E = w + mv2

0

0

hc= w + E

hc= w + 2E

2

1

20

2,t

tN N e t= =

0

N

N

.A B A+

cos= ( )22

, L CR

Z R x xZ

= +

1

,= =L L CC

x w Xw

2 20.01 , 400, 1 1 10 , 20 20 10R r cm m l cm m

= = = = = = 0 0

eB ni n

R = =

1 2

1 2 1 2 1

1 1 12, 0, 5

w wD

f f f f f+ = + = =

2 3Q - QV=2C

1 2

2

l lr R

l

=

( )

2 21

1 1 1

273 7501 1 1 ?

100

T TT

T T T

+= = = =

( )1

1

273 7701 ?

100T

T

+= =

8/12/2019 Aieee Key 26

3/11

1 2

2 1

Q r r

t r r

3 3

. ,2 2

rmsK E KT V nRT = =

ground at certain height TE TE

ground ground at h

PE KE TE

21 9

2 4 e

Gmm Gmmm V

R R h

1 1 1

2 2 2

4 3 1, ,

1 2 2

m KE F

m KE F = = =

2 21 1

2 2w mv mu=

21

2w mas ma at = =

1

2A base height=

1 1

20 1 10 3 10 3 20 12 2

+ +

1 2

1 2

2.

m mT kg wt

m m=

+

1 1 1

2 2 2

m d v

m d v= density pressure

3

0 1

11

32

0 2

2

4

4

TP R

Rm

m TP R

R

+

=

+

4 4

8 8

pr rv p

vl l

= =

( )1

4 4 4 4 441 2 1 2r r r r r r = + = +

1 2s s

v vm n m n

v v v v

= = +

1 2m m

( ) ( )C A C B B Ahc

E E E E E E E

= + =

8/12/2019 Aieee Key 26

4/11

3 1 2

1 1 1

= +

2 41 22H He

15 , 11 , 3L CX X R= = = ( )22,L C

vZ R X X i

z= + =

L CV V

21

2

3

3

R RvP

RRR

==

=

2 m FL e F

T y kk Ae L Ay

= = = =

1 2

Fk e e e

e

FL F

Ay k

= = +

= +

3

3 D

d

=

( )1 21n n = +

( )2 2

22 1

2 2

1 11 1

2 2

k kmv mgh m v

R R

+ = + +

211

2TKE m v

21

2RKE I

( )2

1

2

R

T

m vKE

KE vI

R

=

2 3

24 2

xx x

2

2 2

1 2

1 113.6E Z

n n

2

2 2

1 113.6 3

2

E

8/12/2019 Aieee Key 26

5/11

P V nRT

2 8.314 298

4.955 kJ1000

CH3CH2

CH3

C=NOH

CH3-CH2-NH

CH3

C=O

2 21 2 1[ ] [ ]; [2 ] [2 ] 8r k A B r k A B r

i

t

2.303 Pk log ;

t P

3 2 2 6 2200200

CH N C H N

2.303 200

log 200 150k t

4 1

5.77 10 sec

bK x c

0.01

0.02b

xK

5

4[ ] 3.6 10x NH

HN

CH6H5

H

C=C

H

CH3

2

3CO

2O

2O

8/12/2019 Aieee Key 26

6/11

22H S 2H S

4

.

A

A

A

M

N V

8

.

B

BA

M

N V

300.3

2 2 50

A A

B B

M

M

3.33 /0.3

A

B g cc

A 1.0 g/ cc

4.33 /A B g cc

6 5 log ; 10s x s x

a x a x

1010 8.1810

xx

x

0.1

0.052

3NO

3NO

0.051 1.0252

M

3NO

0.05

1 0.95M1

2 2 1C C C

( ) ( ) ( )( )

2

2 2

2 2

4sin 0 1

1 sin 3 6sin 1 sin1 sin 1 2sin sin

x

f x c x xx x x

= + + +

3 3 1C C C

( ) ( )

( ) ( )

2 2

2

2

4sin 0 1 4sin

1 sin 3 1 2sin 0

1 sin 1 2sin 1 2sin

x x

x x

x x x

= +

+ + +

2 3 2R R R

8/12/2019 Aieee Key 26

7/11

( ) ( )2 1 4 0x k x k k + + =

2 or 1 x k

( ) ( )1 2 0f f k+