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W . N e w t o n s l a w s o f m o t i o n h
Dynamics
lesson 1 0 Z @
X 1 - Inertia law @
A body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
^ 1 - Inertia law @
Y 1 - Inertia law @
Z 2 - Fundamental law &
The acceleration produced by a particular force acting on a body is directly proportional to the magnitude of the force and inversely proportional to the mass of the body. [ 2 - Fundamental law &
_ 2 - Fundamental law &
\ 3 - Action - reaction law Z
I For every action (Fa) there is always an opposed and equal reaction (Fr). @ J
2
& 6 ] 3 - Action - reaction law Z
` 3 - Action - reaction law Z
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Segundo nivel
Tercer nivel
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s o l i d *a 3 > B f i l l . t y p e < * D ' = % ( H D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( H D- ' =4 @B B @ B B % ( ) ? ) ? D ' = .I 7 B B B B B[ M 0 . 0 0 1 0 4 - 0 . 4 7 6 7 6 L 3 . 3 3 3 3 3 E - 6 - 1 . 5 6 0 6 9 E - 6 * 3 >* B
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U A body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it. b
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U A body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it. b 3 3 J 3 3
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p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D ' = -g 6 B f a d e *< 3 < * D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
% ( D ' = -o 6 B d i s s o l v e *< 3 < *
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T L D _ _ _ P P T 9 &
Z If there is no unbalanced force:
The stones will fall anyway
The stones will remain steady 8 ! 2 : ! 2 ! : [ @`
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As the inertia law says, a body at rest will remain at rest unless an unbalanced force acts upon it. If there is no unbalanced force, nothing will be expected to happen. & ( 2 @`
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{ As the inertia law says, a body at rest will remain at rest unless an unbalanced force acts upon it. If there is no unbalanced force, nothing will be expected to happen. ( 2 _ @` H
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B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( +P +0 + " + +0 + " + +0 + " + +0 + " + +0 + " + +0 + " +
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d If the paper is pulled out quickly:
The coin will fall into the water
The coin will follow the paper 8 $ 2 A ! 2 $ A e @`
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% ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < *
D ' = % ( D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * D? ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D) ' = % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( +P +0 + " + +0 + " + +0 +
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< + Di ' = % ( D ' = % ( D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * DV ' = % ( D ' = % ( Df ' =A @B B
B B 0B % ( ) ) ) D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D3 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
% ( D ' = -o 6 B d i s s o l v e *< 3 < *
D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B d i s s o l v e *< 3 < * D ' = % ( D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D+ ' =4 @B B
B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B d i s s o l v e *< 3 < * D ' = % ( D3 ' =A @B B B B 0B % ( D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * D ' = 0l 9 B B B B *< 3 < * ) ? D* ' = % (
D ' =A @B B B B 0B % ( D ' = , 54 3 * 3 >! B s t y l e . c o l o r =' ` B @ B P B < * D! ' =4 @B B B B % ( D ' = , 54 * 3 > B f i l l c o l o r = @ B P B < * D ' = 1 : B
s o l i d *a 3 > B f i l l . t y p e < * D ' = 1 : B t r u e *] 3 > B f i l l . o n < * D ' = % ( | D ' =A @B B B
B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * +0 +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + `"
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7
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X T L D _ _ _ P P T 9 &
T The apple falls in a way that:
Its speed is constant
It increases velocity steadily D 2 6 ! 2 4 U @`
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A s a n u n b a l a n c e d f o r c e i s a c t i n g , a c h a n g e i n t h e a p p l e s m o t i o n w i l l h a p p e n . T h i s c h a n g e i m p l i e s a c h a n g e i n i t s s p e e d . T h i s c h a n g e i s r e p r e s e n t e d b y a n a c c e l e r a t i o n ( g r a v i t y i n t h i s c a s e ) . & ( 2 @`
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A s a n u n b a l a n c e d f o r c e i s a c t i n g , a c h a n g e i n t h e a p p l e s m o t i o n w i l l h a p p e n . T h i s c h a n g e i m p l i e s a c h a n g e i n i t s s p e e d . T h i s c h a n g e i s r e p r e s e n t e d b y a n a c c e l e r a t i o n ( g r a v i t y i n t h i s c a s e ) . ( 2
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B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( / %, ( < + ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * D ' = % ( Dg ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( +P +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + $
(
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O Who reaches the highest acceleration?
The elephant
The boy
Both reach the same 8 & 2 * ! 2 & * P @`
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. b The force will be bigger for the elephant, but the acceleration will be the same for both!!! c ( 2
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@B D ' =
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B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( / %, ( < + ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * D ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D* ' = % ( D ' =A @B B # B B 0B % ( ) D) ' = + 4 8 ?^ C B h i d d e n B C B v i s i b l e B *o 3 >+ B# s t y l e . v i s i b i l i t y < * + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + QO
, $ (
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B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D ' = + 4 8 ?R C B B C B # p p t _ w B *Y 3 > B
p p t _ w < * J D ' = + 4 8 ?\ C B # p p t _ h B C B # p p t _ h B *Y 3 > B
p p t _ h < * J D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * J D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D ' = -g 6 B f a d e *< 3 < * J D& ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * J D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D ' = -g 6 B f a d e *< 3 < * J D ' = % ( D ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * J D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * J % ( D ' = -g 6 B f a d e *< 3 < * J D ' = % ( D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D< ' = % ( D ' = % ( D) ' =4 @B B
B B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D[ ' =4 @B B
B B % ( ) ) ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D
' = % ( D ' = % ( DF ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * D9 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D
' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D7 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D9 ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * DF ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -u 6 B w i p e ( r i g h t ) *< 3 < * D ' = % ( D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D
' = % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( DC ' =A @B B B B 0B % ( ) D ' =? B7 0 , 0 ; . 2 , . 5 ; . 8 , . 5 ; 1 , 0 -g 6 B f a d e *< 3 < * D ' = 0l 9 B B B B *< 3 < * ) ? +H +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + +0 + + #
(
x
c $ I T = K
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? T L D _ _ _ P P T 9 &
A Who is producing the action force?
The girl
The boy
Both of them 8 # 2 ! 2 # B @`
0 HM t , $
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{ Actually both of them are performing an action force upon the other. However, two reaction forces appear as a result. | ( 2 | | @`
X A T S k a t e r s ; ` "
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% { Actually both of them are performing an action force upon the other. However, two reaction forces appear as a result. d | ( 2 | @` H
0 h ? ff ۥ ff _ _ _ P P T 1 0 q . k`Ƈ + t8 D ' =
@B Dx ' =
@B A ? %, ( < + O %, (
< + DX
' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( / %, ( < + ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
% ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < *
D ' = % ( D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * DW ' = % ( Dg ' = % ( D6 ' =A @B B
B B 0B % ( D ' = -g 6 B f a d e *< 3 < * D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * + +0 + + +0 + + +0 +
+ +0 + + +0 + + +0 + + +0 + + #
u m @ (
x
c $ 5 T = K
5
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T L D _ _ _ P P T 9 &
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p u t s p r e s s u r e o n t h e l e f t s k i
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y The skier performs the action force, but it is the reaction force from the snow which will allow him to turn right. z ( 2 z z @` ` "
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; y The skier performs the action force, but it is the reaction force from the snow which will allow him to turn right. | z ( 2
% z @` H
0 h ? ff ۥ ff _ _ _ P P T 1 0 . k`Ƈ + ;-h D ' =
@B D ' =
@B A ? %, ( < + O %, (
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' = % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -g 6 B f a d e *< 3 < * D ' = % ( DD ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' =4 @B B B B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D ' =A @B B B B 0B % ( / %, ( < + ) D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -s 6 B w i p e ( l e f t ) *< 3 < * D ' = % ( D ' = % ( D@ ' =A @B B B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = -o 6 B w i p e ( u p ) *< 3 < * D ' = % ( D ' = % ( D ' =A @B B B B 0B % ( D ' = 1 : B h i d d e n *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' =A @B B B B 0B % ( ) ) ) ) ? D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < * % ( D ' = % ( D8 ' =A @B B
B B 0B % ( D ' = 1 : B v i s i b l e *o 3 >+ B# s t y l e . v i s i b i l i t y < *
% ( D ' = -g 6 B f a d e *< 3 < *
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