NbabdZ de Mq [ eyh[s h[jZah\Zlmq [aZ\ gbcª

ij_^u^ms_caZ^Zq_

≈

⋅

+

⋅

⋅

⋅

=

+

=

=

f

10

3,6

f

10

6,4

f

10

(6,4

fk

9,8

6

6

2

6

3

2

3

0

h

R

R

g

v

v

≈

fk

GZclbv.

Hl\_lv

≈

fk

27. v

x

= gt.

























v

x

, 

fk

t, c

28.

>Zgh

l  d]

J_r_gb_

∆

p = m

∆

v = mg

∆

t.

61

v

0

= 0

t

 k

∆

t = 1c

Ld

∆

v

1

= 

∆

v

2

jZ\ghmkdhj_ggh_^\b`_gb_ lh

∆

p

1

= 

∆

p

2

= 

∆

p

 d]

⋅

fk

2

⋅

1 c

 d]

⋅

fk

GZclbv.

Hl\_l

∆

p

1

= 

∆

p

2

= 

∆

p

 d]

⋅

fk

29.

Ld m ² ihklhyggZy \_ebqbgZ lh baf_g_gb_ bfimevkZ [m^_l

hij_^_eylvkylhevdhbaf_g_gb_fkdhjhklbIh]jZnbdm kfaZ^Zqm

 \b^ghqlh_keb

∆

t

1

= 

∆

t

2

lhb

∆

v

1

= 

∆

v

2

bagZqbl

∆

p

1

= 

∆

p

2

.

30.

< mkeh\byo k\h[h^gh]h iZ^_gby kdhjhklb h[hbo rZjbdh\ \

ex[hc fhf_gl \j_f_gb [m^ml h^bgZdh\u b ke_^h\Zl_evgh

hlghr_gb_ bo bfimevkh\ [m^_l aZ\bk_lv ebrv hl hlghr_gby bo

fZkk LZd dZd ih mkeh\bx h[t_fu h^bgZdh\u hgh [m^_l jZ\gh

hlghr_gbxiehlghkl_cf_^bb Zexfbgby

3

3

3

3

Z

f

d]f

10

2,7

d]f

10

8,9

⋅

⋅

=

ρ

ρ

≈

3,3.

BlZd \ ex[hc fhf_gl \j_f_gb f_^guc rZjbd bf__l bfimevk

ijbf_jgh\ jZaZ[hevr_q_fZexfbgb_\uc

31.

1

2

X

2

^hklhedgh\_gby

1

ihke_klhedgh\_gby

X

>Zgh

v

1x

 fk

v

2x

 fk

x

v

1

′

 fk

J_r_gb_

Ih aZdhgm khojZg_gby bfimevkZ  gZ hkv O):

x

x

x

x

v

m

v

m

mv

mv

2

1

2

1

′

+

′

=

+

⇒

x

x

x

x

v

v

v

v

1

2

1

2

′

−

+

=

′

=

 fk fk ±fk  fk

GZclbv.

Hl\_l

x

v

2

′

 fk

32.

1

2

X

2

^hklhedgh\_gby

1

ihke_klhedgh\_gby

X

>Zgh

v

1x

 fk

v

2x

 ±fk

x

v

1

′

= –

fk

J_r_gb_

Ih aZdhgm khojZg_gby bfimevkZ  gZ hkv O):

x

x

x

x

v

m

v

m

mv

mv

2

1

2

1

′

+

′

=

+

⇒

x

x

x

x

v

v

v

v

1

2

1

2

′

−

+

=

′

=

 fk  ±fk ± ±fk  fk

GZclbv.

Hl\_l

x

v

2

′

 fk

33.

(

)

2

2

2

1

2

2

2

1

2

2

2

x

x

x

x

v

v

m

mv

mv

E

+

⋅

=

+

=

; 

(

)

2

2

2

1

2

2

2

1

2

2

2

x

x

x

x

v

v

m

v

m

v

m

E

′

+

′

⋅

=

′

+

′

=

′

;

62

2

2

2

1

x

x

v

v

+

  fk

2

+ 

±fk

2

= 0,05 

f

2

k

2

; 

2

2

2

1

x

x

v

v

′

+

′

  ±fk

2

+

+ 

fk

2

= 0,05 

f

2

k

2

⇒

2

2

2

1

x

x

v

v

+

=

2

2

2

1

x

x

v

v

′

+

′

⇒

E = E

′

.

34.

Ih ]jZnbdm hij_^_ey_f qlh L    k b

ν

= 

c

2

1

1

=

T

   =p

Ex[Zy^jm]ZylhqdZbaf_gy_lkdhjhklvk lhc`_kZfhcqZklhlhc

35.