Φυσική Α Λυκείου...
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ISBN 978-960-06-4826-3
: 0-22-0222
22-0036-IEP.indd 1 23/5/2014 4:19:45
& , - / & / .
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ATLIER: ART CHOICE/ / : Atlier: : : : . : -
- - -.
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. . .
. EM. .
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: , , , , , -, 2010, :I. , I. , . , . , . . .
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1.1
1. , :
st
=
120 m / s
4 = = 30m/s.
:
2. t, :
st+
=
st +=
1.980 20t s
10+
= t = 200s
3. A. To - :
1 2S E E= + S 10 10m 20 20m= + S 500m= .
. st
=
504
= 12,5m =
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8
.
4. .
(A): 1xt
= 1x t= (1)
(): 2s x
t
= 2s x t = (2)
(1) (2) :
1 2x s x t t+ = + ( )1 2s t= + 1 2
s 1.000t s10 15
= = + +
t 40s=
1
x :
1x t= x 10 40m= x 400m.=. :
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9
5. . t, - :
S t = S t = . :
( )S S t = d ( )t =
d 500t s
30 20 = =
t 50s=
. : S t 30 50m = = S 1.500m. =
6. x = 10t x = t , = 10m/s.
:
: s = t = 105m s = 50m, .
7. . 0 = 0 :
= t = 215m/s = 30m/s.. :
2 21 1s t 2 15 m2 2
= = s = 225m.
8. A. .
: 1s E 10 20m2
= = s = 100m.
. , ,
220 m / st 10
= =
22m / s . =
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10
s :
2 2 2 22 1 2 1
1 1 1 1s s s t t 2 2 m 2 1 m2 2 2 2
= = = s 3m= .
9. A. To .
: 30 10s 20m
2+
= s = 400m.
. : s 400 m / st 30
= = 40 m / s.3
=
10. = 8 + 2t = 0
+ t,
0 = 8m/s = 2m/s2.
:2 2
4 2 0 4 4 0 2 21 1s s s t t t t2 2
= = +
( ) ( )2 20 4 2 4 21s t t t t2= + ( ) ( )1s 8 4 2 2 16 4 m2
= +
s = 28m
11.
A. - = f(t) . - t = 6s = 30m/s.
. () 10s .
: 11s 10 50m2
= s1 = 250m.
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11
() 10s . : s
2=1030m s
2= 300m.
() () t = 10s s = 300m 250m s = 50m.
. t . , :
( )t t 1050 30t
2+
= 10t 50 = 6t t = 12,5s.
12. -
.
:t = + 30 10= + ()
21t t2
= + 1200 10 1002
= + ()
() ()
.
() : = 30 10 ()
() :200 = (30 10)10 + 50 = 2m/s2.
() : ( )30 10 2 m / s = A 10m / s. =
13. 0,7s 0
, 1 0 1s t 20 0,7m= = 1s 14m.= s = (50 14)m s = 36m.
:2 2
0max
20s m2 2 10
= =
maxs 20m.=
smax
< s .
14. ( )s m.+ - = 2m/s2,
0 = 20m/s.
: ( ) 201s t t2
+ = + 2170 55 20t 2t .2
+ = +
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12
t1 = 25s
t2 = 5s .
15. . . : 1 2x x=
210t 4t= 4t 10= t 2,5s.=. -
1=10m/s,
0 = 0 = 8m/s2.
:
16. . 11s
1 9 6S 3 9 5 9 3 m2 2
+ = + +
S 81m. =
:
S 81m / st 11 = = 7,36m / s. =
. 3s
21
9 0 m / st 3
= =
21 3m / s = , 3s -
223 m / s
t 3
= =
22 1m / s . =
17. . :
0 t = 0
0 t2
= 5 = 10 2t t = 2,5s
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13
201s t t2
= 21s 10 2,5 2 2,5 m2
=
s 18,75m.=
. 0 t = = 0
: 00 t= 0 10t s
2
= =
t 5s.=
() :2 2
0max
10s m2 2 2
= =
maxs 25m.=
18. . ts, - (t 4)s . :
2
11s t2
= ( )221s t 4 .2
=
s s = , :
( )221 21 1t t 42 2 = ( )2 21,6t 2,5 t 16 8t= +
t = 20s 4 s
1,8
4s.
21s s s 1,6 20 m2
= = =
s = 320m.
. :
=
1t = l,620m/s
=32m/s
=
2(t 4) = 2,5(20 4)m/s
= 40m/s.
16m / s. = : s 320 m / st 20
= = 16m / s. =
. = f(t) s = f(t) :
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14
19. . : 0 t 5s
0= 10m/s.
: 5s < t 15s
= 20m/s. : 15s < t 20s -
21 4m / st
= =
.
-
22 4m / s .t
= =
. 0 t 5s :
2 21
1 A
20 10 m / s 2m / st t t 5 0
= = = =
.
. .
( )10 20 1 1s 5 10 20 20 5 5 20 m 75 200 50 50 m 375m2 2 2+ = + + + = + + + =
:x = (75 + 200 + 50 50)m x = 25m. .
. : s 375 m / st 25
= = 15m / s. =
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1.2
1. :
( )1 2F F F 80 60= + = + F 140N= .
: ( )1 2F F F 80 60= = F 20 .=
2. F :
F = (20 + 10) 5 F = 25N F = 20 (10 + 5) F = 5 F = (20 + 10 + 5) F = 35
3. . -
1 2F F F .= +
2 2F 4F F= + 2F 2= 1 2F 4F= 1F 8N.= - .
. -
1 2F F F .= 2 2F 3F F= 2F 5N= 1 2F 3F= 1F 15= . .
4. . Hooke : F = Kx. x = 20cm F = 80N :
80 = 20cm 80 NK20 cm
= K Ncm
= 4 .
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16
, = x - :
(cm) 5 8 10 15 20
() 20 32 40 60 80
. :
. -
: 20N 4N / cm5cm
= = =
,
.
5. , = 0, - F = m, F = 0. - F
3
F2, :
1 2 3F F F 0 = ( )3 1 2F F F 22 7 N= = 3F 15N.=
6. , - F, F . : F B = 0 F = B F = 200 .
7. F F = 20N , . , - .
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17
8. t
=
:
2 25 m / s 2,5m / s2
= = .
: F = m = 102,5N F = 25.
9. = 4t = t = 4m/s2. :
F = m = 14 F = 4.
10. :
214 10 m / st 2
= =
22m / s . =
: F = m = 102N F = 20N.
11. . :
211
1
F 4 m / sm 1
= = 21 4m / s =
222
2
F 15 m / sm 3
= = 22 5m / s . =
. 18m t S
1 S
2 :
( )2 1S S 18 10 m = 2 1S S 8m = . :2 2
2 11 1t t 82 2 = 2 2
1 15t 4t 82 2
=
2 22,5t 2t 8 = 2t 16= t 4s.=
12. . 211F 20 m / sm 20
= =
21 1m / s = t1, 0
s1. :
21 1 1
1s t2
= 21 11s t2
= ()
0 1 1t = 0 1t = ()
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18
222
F 5 m / sm 20
= = 22 0, 25m / s =
0 12
2 2
tt
= =
()
2 2
0 12
2 2
ts
2 2
= =
()
1 2s s s+ = 2
2 11
2
t1 t s2 2
+ =
2 21 1
1 t 2t 402
+ = 1t 4s.=
F2
2 21 1
1 1s t 4 s2 2
= = 1s 8m.=
. :
11 2 1
2
t 4t t t t 4 s0,25
= + = + = +
t 20s. =
13. . :
21s t2
= 222s 48 m / s
16t = = 23m / s . =
. F m= 1 2 3F F F F = + -: F F F m1 2 3+ = 36 2 F 1 3+ = 3F 5N.=
14. 1 2F F F 40 20 = = F 20 . =
F = m m = 200,3
kg.
:
F m = 2F 40 m / s20m0,3
= = 20,6m / s . =
, - .
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19
15. :
21h gt2
= 22htg
= 2htg
=
t = 2s.
16. t, :
21h gt2
= 2htg
= t = 6s.
t :
t = t t t = (6 l)s = 5s.
2 21 1h gt 10 5 m2 2
= = h = 125m.
h :h = h h = (180 125)m h = 55m.
17. A. :
F = m 4
2 2F 2 10 m / s 5m / s .m 4.000
= = =
:2
0s2
=
20 2 s = 0 2 s =
0 = 20m/s.
. :
0 20t s5
= =
t s = 4 .
. :
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20
18. . t. :
21h gt2
= 2htg
