fusiki a lykeioy typologio

5
Ç ðáñáãùãÞ ôïõ ôõðïëïãßïõ áðü ôçí åôáéñåßá Orbit Graphic Design & Advertising  ôçë. 210 3840020 1       Ö       Õ       Ó       É       Ê       Ç Ðõêíüôçôá õëéêïý d =   m V   (ìïíÜäá Kg/m 3 ) ÌåôáâïëÞ öõóéêïý ìåãÝèïõò ÄÖ = Ö Ö 0 Ñõèìüò ìåôáâïëÞò öõóéêïý ìåãÝèïõò    Ä  Ä Ö t   =  Ö t Ö t 0 0    Ôá÷ýôçôá (ìïíÜäá m/s) ÌÝóç ôá÷ýôçôá (ìïíÜäá m/s) Åõèýãñáììç ïìáëÞ êßíçóç ÅðéôÜ÷õíóç ( ìïíÜäá m/s 2 ) Åõèýãñáììç ïìáëÜ åðéôá÷õíüìåíç êßíçóç Åõèýãñáììç ïìáëÜ åðéâñáäõíüìåíç êßíçóç 0 2 0 á óôáèåñÞ õ=õ át 1 x t át 2 = ( ) õ á ↑↓ 0 2 0 á óôáèåñÞ õ=õ át 1 x =õ t át 2 = + + õ á ↑↑  Äõ á  Ät = õ óôáèåñÞ x=õt = ì s õ õ t = =  Ä x õ  Ät = ÅÕÈÕÃÑÁÌÌÇ ÊÉÍÇÓÇ ÅÉÓÁÃÙÃÇ ËÕÊÅÉÏÕ Á ËÕÊEIO taexeiola.blogspot.com

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Page 1: Fusiki a Lykeioy Typologio

8/6/2019 Fusiki a Lykeioy Typologio

http://slidepdf.com/reader/full/fusiki-a-lykeioy-typologio 1/4

Ç ðáñáãùãÞ ôïõ ôõðïëïãßïõ áðü ôçí åôáéñåßá Orbit Graphic Design & Advertising

 ôçë. 210 38400201

      Ö      Õ      Ó      É      Ê      Ç

• Ðõêíüôçôá õëéêïý d =   

m

V   (ìïíÜäá Kg/m3)

• ÌåôáâïëÞ öõóéêïý ìåãÝèïõò ÄÖ = Ö − Ö0

• Ñõèìüò ìåôáâïëÞò öõóéêïý ìåãÝèïõò   

 Ä

 Ä

Ö

t  =  

Ö

t

Ö

t0

0  

Ôá÷ýôçôá

(ìïíÜäá m/s)

ÌÝóç ôá÷ýôçôá

(ìïíÜäá m/s)

Åõèýãñáììç ïìáëÞ êßíçóç

ÅðéôÜ÷õíóç

(ìïíÜäá m/s2)

Åõèýãñáììç ïìáëÜ åðéôá÷õíüìåíç êßíçóç

Åõèýãñáììç ïìáëÜ åðéâñáäõíüìåíç êßíçóç

0

20

á óôáèåñÞõ = õ át

1x = õ t át

2

= − −

( )

õ á↑↓

0

20

á óôáèåñÞ

õ=õ át

1x =õ t át

2

= + +

õ á↑↑

 Äõá

 Ät

=

õ óôáèåñÞ

x = õ t

=

ìs

õ õt

= =

 Äxõ Ät

=

ÅÕÈÕÃÑÁÌÌÇ ÊÉÍÇÓÇ

ÅÉÓÁÃÙÃÇ

´ Ë Õ Ê Å É Ï Õ Á ´ Ë Õ Ê E I O

taexeiola.blogspot.com

Page 2: Fusiki a Lykeioy Typologio

8/6/2019 Fusiki a Lykeioy Typologio

http://slidepdf.com/reader/full/fusiki-a-lykeioy-typologio 2/4

Íüìïò ôïõ Çïïke

F = k x

Óýíèåóç äõíÜìåùí

1) ÓõããñáììéêÝò − ïìüññïðåò

2) ÓõããñáììéêÝò − áíôßññïðåò

3) Óõíåðßðåäåò − êÜèåôåò

Íüìïé ôïõ Íåýôùíá

1ïò Íüìïò ôïõ Íåýôùíá Áí ç óõíéóôáìÝíç ôùí äõíÜìåùí ðïõ áóêïýíôáé óå Ýíá óþìá åßíáé ìçäÝí , ôüôå ôï óþ-ìá Þ çñåìåß Þ êéíåßôáé åõèýãñáììá êáé ïìáëÜ.

2ïò Íüìïò ôïõ Íåýôùíá Áí ç óõíéóôáìÝíç ôùí äõíÜìåùí ðïõ áóêïýíôáé óå Ýíá óþìá åßíáé äéÜöïñç ôïõ ìçäå-íüò ôüôå ôï óþìá áðïêôÜ åðéôÜ÷õíóç áíÜëïãç ôçò óõíéóôáìÝíçò äýíáìçò êáéáíôéóôñüöùò áíÜëïãç ôçò ìÜæáò ôïõ.

3ïò Íüìïò ôïõ Íåýôùíá

¼ôáí äýï óþìáôá áëëçëåðéäñïýí êáé ôï ðñþôï áóêåß äýíáìç óôï äåýôåñï ôüôå êáé ôï

äåýôåñï áóêåß áíôßèåôç äýíáìç óôï ðñþôï (ÄñÜóç - Áíôßäñáóç)

ÂÜñïò

Åëåýèåñç ðôþóç

ÁíÜëõóç äõíÜìåùí óå óõíéóôþóåò

xx

yy

Fóõíè F Fóõíè

F

Fçìè F Fçìè

F

= ⇒ =

= ⇒ =

ÄÕÍÁÌÉÊÇ ÓÔÏ ÅÐÉÐÅÄÏ

21õ gt êáé s = gt

2=

 mg=

F−

F

ÓF má

=

2 21 2

2

1

ÓF F F

Fåöè

F

= +

=

ÄÕÍÁÌÉÊÇ ÓÅ ÌÉÁ ÄÉÁÓÔÁÓÇ

ÖõóéêÞ A´ Ëõêåßïõ

      Ö      Õ      Ó      É      Ê      Ç

2Ç ðáñáãùãÞ ôïõ ôõðïëïãßïõ áðü ôçí åôáéñåßá Orbit Graphic Design & Advertising

 ôçë. 210 3840020

taexeiola.blogspot.com

Page 3: Fusiki a Lykeioy Typologio

8/6/2019 Fusiki a Lykeioy Typologio

http://slidepdf.com/reader/full/fusiki-a-lykeioy-typologio 3/4

2ïò íüìïò ôïõ Íåýôùíá ãéá ðïëëÝò ïìïåðßðåäåò äõíÜìåéò

ÔñéâÞ ïëßóèçóçò

Ô = ì Í

Ïñéæüíôéá âïëÞ

ÏìáëÞ êõêëéêÞ êßíçóç

Íüìïò ôçò ðáãêüóìéáò Ýëîçò

¸íôáóç ôïõ âáñõôéêïý ðåäßïõ ôçò Ãçò

Ôá÷ýôçôá ðåñéóôñïöÞò äïñõöüñïõ ãýñù áðü ôç Ãç

ÏñìÞ(ìïíÜäá 2 kgm/s)

Ó÷Ýóç äýíáìçò − ìåôáâïëÞò ôçò ïñìÞò

Áñ÷Þ äéáôÞñçóçò ôçò ïñìÞò (Á.Ä.Ï.)

ïë( ôåë ) ïë( áñ÷ )p p

=

 ôåë áñ÷  p p ÄpF F  Ät Ät

= =

Þ

p mõ=

ÄÉÁÔÇÑÇÓÇ ÔÇÓ ÏÑÌÇÓ

àM

õ G r=

à2

MF Bg G

m m r= = =

à2

Ì m G

r=1 2

2

m mF G ,

r=

ÂÁÑÕÔÇÔÁ

2

ê 

õ ùR

õF m

R

=

=2

ê 

s 2ðRõ 2ðRf  

t T

õá

R

= = =

=

1f

T

è 2ðù 2ðf

t Ô

=

= = =

(ï ÷ñüíïò ïëïêëÞñùóçò ïñé-æüíôéáò âïëÞò áðü ýøïò h).

2hêáé t=

g

x 0 y

20

õ õ êáé õ gt

1x õ t êáé y gt

2

µ = =οοοονο = =οοο

x

y

ÓFx máÓF má

ÓFy má

µο =οο= ν

ο =οο

ÖõóéêÞ A´ Ëõêåßïõ

      Ö      Õ      Ó      É      Ê      Ç

3Ç ðáñáãùãÞ ôïõ ôõðïëïãßïõ áðü ôçí åôáéñåßá Orbit Graphic Design & Advertising

 ôçë. 210 3840020

taexeiola.blogspot.com

Page 4: Fusiki a Lykeioy Typologio

8/6/2019 Fusiki a Lykeioy Typologio

http://slidepdf.com/reader/full/fusiki-a-lykeioy-typologio 4/4

¸ñãï óôáèåñÞò äýíáìçò

WF

= F x óõíè (ìïíÜäá 1 joule)

¸ñãï äýíáìçò ìåôáâëçôïý ìÝôñïõ (F = f( x))

Èåþñçìá ìåôáâïëÞò ôçò êéíçôéêÞò åíÝñãåéáò(È.M.K.E.)

¸ñãï âÜñïõò (g = óôáè.)

WB = ±B h ( (+) óôçí êÜèïäï êáé (−) óôçí Üíïäï)

ÄõíáìéêÞ åíÝñãåéá óå âáñõôéêü ðåäßï (g = óôáè.)

U = m g h

• Ìüíï ãéá óõíôçñçôéêÝò äõíÜìåéò

¸ñãï äýíáìçò åëáôçñßïõ êáôÜ ôçí ðáñáìüñöùóÞ ôïõ

ÄéáöïñÜ äõíáìéêÞò åíÝñãåéáò ìåôáîý äýï èÝóåùí (1) êáé (2)

Ìç÷áíéêÞ åíÝñãåéá

Å = Ê + U (ìïíÜäá 1 joule)

Áñ÷Þ äéáôÞñçóçò ìç÷áíéêÞò åíÝñãåéáò(Á.Ä.Ì.Å.)

Éó÷ýåé üôáí óôï óþìá áóêïýíôáé ìüíï óõíôçñçôéêÝò äõíÜìåéò

Å = óôáè. Þ Ê 1 + U1 = K 2 + U2

Éó÷ýò

P =   

W

t   (ìïíÜäá 1 Watt)

1 21 2 1 2 BU U mgh mgh mgh W→

− = − = ± =

2 2åë åë áñ÷ ôåë áñ÷ ôåë  1 1W ÄU U U kx kx

2 2= − = − = −

1 2 1 2W ÄU U U→ = − = −

ïë 

2 2ïë ôåë áñ÷ F

1 1 ÄÊ ÓW mõ mõ W

2 2= ⇒ − =

ÄÉÁÔÇÑÇÓÇ ÔÇÓ ÌÇ×ÁÍÉÊÇÓ ÅÍÅÑÃÅÉÁÓ

ÖõóéêÞ A´ Ëõêåßïõ

      Ö      Õ      Ó      É      Ê      Ç

4Ç ðáñáãùãÞ ôïõ ôõðïëïãßïõ áðü ôçí åôáéñåßá Orbit Graphic Design & Advertising

 ôçë. 210 3840020

taexeiola.blogspot.com