(2016-2017 ..) , 7
1.
0,0000003 . , , , ? . 0,0000003 . ?
(10 )
| , : , , : 0,0000003 100 = 0,00000003 0,0000003 1000 = 0,0000003 0,0000003 1000000 = 0,0003 : , 1000 . : . 0,0000003 < 0,0000003 |
2.
, , v 1 = 72 /, . , . v 2 .
(15 )
L.  ,  t2 = 3t1, 3| v 2 - v 1| = v 2 + v 1. v 2 > v 1 3(v 2 - v 1) = v 2 + v 1 v 2 = 2 v 1 = 144 /. v 2< v 1 3(v 1 - v 2) = v 2 + v 1 v 2 = 20 v 1/2 = 36 /.
| |
| , :
( , , );
, , :
3| v 2 - v 1| = v 2 + v 1;
, ( v 2 > v 1 v 2< v 1);
(v 2 = 2 v 1, v 2 = 20 v 1/2)
(v 2 = 144 /, v 2 = 36 /).
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3.
, , 2,5 . ? ( - 8 , 5 , 3 ) .
|
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(5 )
| , , , . , , , .. 2,5 | |
, :
;
;
.
|
4.
, , . , - ( ). , , , - . , . .
(5 )
| , , , . , , . , , . , , , . | |
| , : , : ; ; ; , ; : , , . |
(2016-2017 ..) , 8
1.
, 800, , 200, 60 400? 1000 /3.
(10 )
m , m = m m = rV - m. Q = m(t t), Q = m(t t), t t(t) () . Q = Q. m(t t) = (rV - m)(t t) m =  ; m = 20 , m = 40 .
| |
| , :
( () , )
, , :
m = m m = rV - m
Q = m(t t) -
Q = m(t t) -
m(t t) = (rV - m)(t t)
, ;
m =
m = 20
m = 40
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2.
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|
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. t1 = 4 , t2 = 9 . , .
(10 )
v 1 ( v 2) - () , t . v 1t = v 2t2, v 2t = v 1t1   . , T = t + t1 =  = 10 .
| |
, :
( () , ; )
, , :
v 1t = v 2t2
v 2t = v 1t1
, ;
T =
( T = 10 ).
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3.
, , 4 . . (mx), (m = 6 )?
(10 )
| , ( + ) . . 𝑚𝑔3𝐿+3𝑚𝑔𝐿=𝑚4𝐿+𝑚𝑥𝑔3𝐿. 𝑚𝑥=2m/3=4 . | |
| , : ; ; , , : : 𝑚𝑔3𝐿+3𝑚𝑔𝐿=𝑚𝑔4𝐿+𝑚𝑥𝑔3𝐿 , : 𝑚𝑥=2m/3 : 𝑚𝑥=4 . |
4.
( ) , 1/2 . , 0,9?
(10 )
ρ ( ), ρ , V , V , V ( ). V = V V. ( ): mg = F, mg = ρVg = ρ(V V)g, F =  ρVg ρ(V V)g = ρVg Þ  .  ,  .
| |
| , :
( , , , , );
, , :
V = V V.
: mg = F.
mg = ρ(V V)g
F = ρVg
ρ(V V)g = ρVg
, :
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