G g G 44 m 45 g 9. 8 /

v s t / 0000 = 3.6 / 3600 / / 36. s v t s s vt t v s s v s vt t t v / 3.6 / 5 / 5 3.6 / 90 /

/ / 36. 54 / 54 / 5 / 36. v048 / 048 / 3. 6 s t s 800 v 0 / t 90 s 8 d7.60 8 5 3.8 0 3.8 0

s v s 970 t 0.845 v 33 / v 3 s = = v s 3 s t v s t v s s s v 4 = = = = = t s v v s v 3 3 9 v v

v = s t s vt t s v s v = t s 74 t 0 3 v s 74 v 7.4 / t 3 s s vt t v s 30 t.76 v 750 /

s / s t v s / s / s t = = = v 4 8 s v s s t t t s s 4.8 / + / + / 8 s s = = v t 0 s 0 vt 0 340 6 0 6 = = 960. t = s v = 960 0 = 48.

5 5 5 5

c 3& 65 3&

G m = g G = mg. m = G g

50 G 470 G = mg m = g

ml / = m l m = m m l ml m = m m m m 00

m m = 55 = 0.055 ( ) m = m V m V = m v m V

m ρ m = 50 00 = 50 / 3 m V = V = 50 ρ 3 50 G = mg m = G - 9.5 0 g = m 3 3, 5.8 0 / V 3

m V = V = m ρ ρ V = m ρ m = m - m m + ρ V = m + m - m. ρ ρ

ρ ρ gh = ρ gh h = h ρ

= m V = m V

5 = m V 5 = m V

F p = S

p = F S F F = ' S S'

h ρ= ρ h = 8 3 3 3 3.00 / = 0.8 0 0

= h = 3 / h 5 = 0.8 3

h = p = 0.3 0.3 g

V = F g = 9.8-3 3 3 3 9.8 / = 0.00 / = m V m = G g = G gv = 4.7-3 3 9.8 / 0 3 3 =.50

G = gv F = gv V = 3 V G = F 5 gv = g 3 V 5 = 3 = 0.6 0 3 5 3 = h h'

m V V F 4. 9 = = 3 3 ρ g 0 0 / 98 / = 0. 5 0 3 3 = m V m = V

F = gv V = F -5 3 = 30 ρ g V = ls l = V S = 3 0-5 3 - -3 = 30 0

5 3 F = g hs F = g hs 3 g hs = g 3 hs = 3 = 3 3 3.00 / 4 4 3 3 = 0.750

V = F 7 g = 9.8 0 3 = 0000.0 0 / 9.8 / 3 3 G = F F = gv V = F 7 g = 9.80 3 3.030 / 9.8 / 3 = 9708.74 V = m 800000 = 776.7 ρ.030 / 3 3 3 V = m 650000 3 = 3 = 63. 3 ρ.030 / V

G F g V G g V m G + G ρ + ρ g V g V V Vg Vg 0. 9ρ 0. ρ l ρ ρ 0. 0 0. 0.

4 m F gv g 5 ρ 4 m m g gv gv g 5 ρ 4 m ρ m 5 ρ V V 3 08. 70 0. 0 70 3.0 0 3. 0 003. 0. 03 3 364 / ρ gv + ρ gv ρ gv V ρ g

l. F F 00 4000 l 0. 06 l F =.4 F 00 4666.7 l 0.06

D l OP R 60 30 l R ( R h ) 30 ( 30 ) 4 l 4 F G 00 80 l 30 mg mlg = l l m g mg = l l m m m

l F F 80 l l' F' F 60 l' m V F gv ρ m 5 V 0-3 3 ρ. 5 0 3 l OA F F F = 58.8 l OB cos60

l F F l, l F = R F r

l 0 0 l 50 F 0 F RF r F 4 F G G 500 0 55

n 4 F G n F G G n F 00 G 00 F G G n A F gv gv V m G 3 3 G 40 0 / ρ gρ F 0 FG F 40 0 5 n 3 F f n f

f 00 00 F G G F F G G G G

h ( 3 ) + ( 4 ) 3

W t W 6 3. 9 0 P t 60 6.5 0 4 W 6 9. 8 0 P 8. 0 4 t 60

W Gh 4 P t t P G h t 3 3 9 = = = P G h t 4 8 P P 4 W 44. 0 P.0 t 0 P = W 5.47 0 3 = =.450 t 60 v A = v B = 0.5 / = 0.5 / P = W = 50 = 0 t 5

v = v = 5 / =.5 / A P = W = 0.4 = 0. t 4 h = sin30 = = P = W = 4.9 = 0.98 t 5 P = W = 4.9 = 0.98 t 5

G A + G B W = Fs = nh = G A + G h n G = W h - GA =. 0 3-500 = 00 B F = G B + G n 00 +00 = = 400 3 P = W' t 3 3.6 0 = = 80 0 P 6650 v 9.8 / F 6750 P P Fv v F

F G = h L F =. 4 Gh 0 0 = 0 3 L 0

F'= Gh L = 000. = 800 3. F = F' = 800 = 400 h W = Gh W = W FL = Gh F = G L a A. F = G B. F = a c b G b C.F = G D.F = b c a G W = Ga W = W Fb = Ga F = a b G B F = a b G a b F G a << b W = Gh W = W LF = Gh F = h L G π F = h πl G

s- s' π(r - r) h = = π(r - r) W = Gh = G W = W π(r - r) F R = G F = R - r R G W = W Fh = GhF = G h = 00 = 50 F = G 5 = 500 = 300 5

G = Fs 00 0.5 = = 0000 h 0.005 = W W = W 00% 40% 50% W W = 00% = 800 000 00% = 80% W

W = 00% W = 00 00% = 80% 500 G F = G + G n G = W 300 = = 50 h F'= G'+G = 900 + 50 = 350 n 3 P = W = F's' = 350 3 = 05 t t 0 3 P = Fv = 350 = 05 0 = W G' h' = 00% W F' 3h' = 900 00% = 86% 350 3

= W 00% = fs A 00% W F = f F s A 00% = 80 00% = 50% 80 F = h L G = 4 900 = 5 W = 00% = 900 000 00% = 90% W f = W = 000 = 5 L 4 T = F + G 0 = F + G G + G 90 + G F = F = n 3

= W 00% = Gh W = 90h 6h 3Fh 00% = 7% 00% η = Gh F L F = Gh = 450 = 300 η L 0.6 5 = F'L F' L F = = F' = 450 = 87.5 FL L 0.6 5 = Gh F L = 450 = 48% 87. 5 5 = Gh LF F = F' F' = F = Gh = η η L = W = W G G h G = h + G h + G G = G + G

Gh = Fs η = G h F s η G h F s = 3 = 4 3 4 3 3 = 80% 3 = 60% 4 GA = G = 5G A G 5 G + G A F = = GA 3 G h s = 3h = W = G = 5G = 5 h Ah W F s G 3h 6 A GB = 3 G B = 0.6G G 5 G + G B F = = 0.4G 4

= W = G h G h = W F s 0.4G 4h η η = 5.6 = 4 6 3 =.6 G = G = 0.5G =.5GA G F F = G 0.4G = G G = A A A W W Gh = Fs F = Gh s = 600 = 00 η 0.75 4 G = W h = 50 G = 75 v = P F = 50 = 0.4 / 5 = Gh Fs = Gh n = G Fnh F = 400 η 08. 5 = 4 v' = v n = 0.4 / = 0. / 4

Gh = Fs ηf G = = 0.5 s 60 3h = 90 h h F = G + G n F = G + G F n F = gv = gv = g G G = ρ g ρ ρ G = = 3 3 0 / 90 F 30 3 3 = 30 / '= W W = (G - F ) h (90-30 ) = = 40% F S 50 3h h s = 3h = Gh F = Gh = G s F 3h 3F, F = G 3η = Gh = GLsin30 G = F L F L F F = G η F = G = = = 7 η η 7 F 3η 3η 3 8 G

W W = Gh Fs = Gh Fnh = G Fn

s n = = 0.3 = 3 h 0. n = s h 0. 5 = = 5 0. G h = = 4.9 0. = 83.3% F s 96. 0. 3 G h 4. 9 0. = = = 66.7% F s.47 0. 5 Gh G F h L 3 = FL 00%

5-5 t = = 40 0.5

00 00 04 00 6 6 = 5 5 04

3 0 n = -7 = 3.3 0 9.9 0 3 6.030 9 n = 3 =.690.40

Q = qm m = Q q Q m = 5 m c t = 0.0 = 0

Q cm

Q c = m( t t ) 0

Q c = Q = Q m ( t t) o c m t - t = c m t - t 0 0 c = c m t - t 0 m t 0 - t

Q m

Q m Q Q q = m = m = Q Q m q = q q

n = 400 = 40 / 60 n N = = 40 =`0 C F = ps = 5 0 5 0. 3 = 3535

= W 7 Q = 38. 0 7 0. 0 0 3.7% W = psl 95 = 6.50 3.4 0 3 ll5 0 4-3 = 53

v = s t = 4 = 8 / 0.5

M vsin30 = v S S S S S v + v = v S S

8 0 6. 5 0 8-9.6 0 Q = It I = Q t W Q = U W = IUt = QU Q I = Q Q = It t t = I =.5

I = Q t W = IUt = QU Q = W U` Q W = IUt I = t W = QUQ = W U Q = W U = 5 I = Q t = 5 =.5 4 U U I R R I U 3 R =.4 I 5. I = Q t

Q. I = I Q I Q t I = Q t I = Q t I I = Q = 40 = t 0 = Q = = 0 t 0. I = Q t Q = It I = 00 = 0. t = 3 = 80 I = Q t

Q I = W = IUt t I = Q t Q = It W = IUt W = QU Q = W U = 45 7.5 6

U I = = 6 = 0.5 0 0.6 R 0.5

I = U R = 6 0 = 0.6 0.6

I U R. I = U R = U R I R = U I I = U R I = Q.5 t 90 I = Q t = 45 = 0.5 90

U I U I U = U I I I I = U U = 3 R = U I R = U I = 4. :3 R = U = 3 = 6 I 0.5 6 6 I = U = 6 = 6 R 0.6 0 0.6

R' R'= U I = 6 0.6 = 0 R' R 0 ~ I = U R = 9 = 9 I = I = I = U R = U = 3 = 3 R I I = U R R = U I = 6 = 6 I I R = I R = R I R I R = R = 0.5 = 6 I

U I P = U I I = P U = 0 L L L L L = I R = I L = 0 L R = U I = U - U I = I U = 6 = 6 R R R R R L = 6 0 = 6 R P R = U I R x R I = I = U R = U = U = U 0 x x xr0, x 0, x R I I U 0 x 0 0

3. R = U x U R x x 0 R 0 R x R x I I 0 R 0 x U = U = I R R = U 0 x 0 0 x I (3) R = I 0 x R 0 Rx I R x R x x x x = U I x 0 =

U l U I = I = R R U U R = R I = U R = 6 = 0.6 0 U I = I R = U R U U = R R = 6 = 3 U = 3 U 4 3 U + U = UU + U = 6 U =.4 U = 3.6

I = U R R = U = 4 = 4 I I'= U R = 6 =.5 4 I = U R = 6 = 0.6 0 R = U = 3 = 5 I 0.6

U' U' = R R U' U R U U R = R U R = = R U' U R U' R U U = U' U' U - U = U' U U'-U' U' = 8 - U' U' = 3 U' R = = 3 = 30 I' 0. I' = I' = I'= 0. R = U' = U'-U' = - 3 = 90 I' I' 0. R = U 3 U 4.5-.5 = = 0 I I' 0.5-0.3 U'

R I'-I = U = 4.5-3 U' R 30 U I = R I'= U' = U' R / R I U = I' R I = 3 4 I' R U' = 4.5 3 = 0.05 = 3 4 I'- 3 I'= 0.05 4 U () I = R R = U = 4.5 = 30 I 0.5

U I = I R + R U = R P = I U = I R P I = = 3. = 0.4 0 R I = I = I = 0.4 3 U R = = = 30 I 0.4

R I' = U R = 0 = 0.6 R R = U I' = = 40 0.3 R = R + R + + R n n R R = R 0 0 n U = U I R = I I R = R I R I = U R

U I = = 4.5 = 0.3 R 5 4. 5 n = = 3 5. R R = 8 R = R = = 8 = 4 = R + R = + = R 4 4 I = U R = = 0.5 4 I = U R = = 0.5 4 U = U = 6 = R R = I I 3 3 R + R = 0 I = U R = 6 = 0.5 I = U R = 6 8 = 0.75

R R = U I = 6 0.5 = 4 I 3 = R I R 3 I 3 R = R =.5I I I I = R I R 3 3 3 I R R = I R = R = = 5 I 5I 5 5 = 6.. R =.5R =.5 0 = 5

U R U R R = U I = 6 0.5 = R = U = 6 = 4 I.5 U R = = 6 ' =.4 I'.5 U R = I

R P P U = R = I U P U = = P. = = 3 I I - I 0.6-0. U R = = 3 = 5 I 0. R = U = (3 ) = 7.5 P. U R = = 6 = 0 I 0.6 I' = U R = 6 3 = 6 3 P = I' R R = P I' 3 = (0.5 ) =

W = UIt W = I Rt U t W = R U R t

W 900 t = = = 60 I R ( ) 80 W = U t R W = U W = 00 t = 60 R = R 0 U = WR t t = 00 0 = 0 60 I = Q t,. W = IUt I = Q t W = IUt = Q t Ut = QU U = W Q W = 8 Q = 3 U = W Q = 8 3 = 6 U I = = 6 = 0.6 R 0 W t U. P = UI P = P = IR R. R

P = U R P = I R A.0 B. 0 C.00 D. 00 I' = I 0 P = I R = I R = I R = P 0 00 00 P = U R P U R

U U U P = = = U R R R P = U R U P = U S P'= U R R = U = 6 R = 6 P' 6 P = P = W = Q = 50% η ηt ηt 060 P = = 48 4 60 05. R = U = 4 = 48 P R

R = R = + 0 + R 30 =

t = = 0. n = 39 60 39 W = 3000 / W 39 / 3000 / p = = = 0.065 = 65 t 0.

. Q = I Rt Q = U t R U R t

Q = U t,, Q R, R = 5R R Q = Q 5 Q = U t U = 0 R = 0 t R = 0 = 600 U t Q = = (0 ) 600 =.4 4 0 R 0

Q = Q = cm t c = Q m t = 6800 = 00 / 0. 40 I = U R

P = U U P R 40 R

P = U P = 40 U = 0 R P = U = (0 ) = 0 P 0 I = U R = 0 = 0.8 0 P = U = (0 ) = 0 R 0

R = R = 48.4 =. 4 4 I = U = 0 R. = 8. 5500 45 n = =.5 500

3 P 4800 0 I = = = 8. ( ) U 3 0 0 I P 4800 0 = = U 400 3 4 =. 0 ( ) 4 7 P I R.8 0 5 37.6 P I R. 0 0.57.0

4

3 0 8 990 0 8 / 3 303 3 0 / 6 9.3 558. 0

3 0 3 7 7

400