Unit 03
Force, Energy, Momentum
, 01 SCALARS & VECTORS
Scalar & Size
magnitude
·
:
vector :
magnitude & direction
1
.
Scalars & Vectors
-corresponding scalar & vector pairs
some do have
not
corresponding partners
-
-vectors diagramatically represented by arrows :
7
10m/s to the east the length of the arrow
X represents size/magnitude
15 m/s to north
-
·
symbols for vectors :
-
either written in BOLD
-
or with line underneath letter
30N to the north-east
ex) U 1
-in
or
, 2 .
Adding Vectors
·
Adding forces (N)
gravitational field strength
W =
my -
=
9 .
81Nkg"/about lONkg-1
-
Adding vectors gives rise to
In resultant vector
equivalent
-
Depending on the direction of the vectors ,
the value can change
um
Ex) 600N + 85ON =
1450N
↓ =>
same direction
addition
W
W
Ex) 600N I 850N -
250N
opp . direction
↑ >
↑
subtraction
~
·
Adding Vectors not at 90° angles
If vectors
-
at
angles to each other ,
use
trigonometry or
Resultant
scale
drawing
Force
-met -
resultant force can be found
by measuring the length of resultant force
& with the
600N ⑧
850N measuring the angle it makes
30
vertical or horizontal
7
-
Tigonometry can also be used
* arrow-head of one of the
vectors must be joined to the
start of the other vector &
, . Adding perpendicular
vectors
be used add vectors
-
Pythagoras can to
perpendicular
M
7
& draw diagram wI the arrow-head
of one vector touching the fail of next
A lOms-1
-
B toms-1 A +
B
resultant
B 20ms1
2
using Pythagoras ,
magnitude of Resultant A +
B 20 -
- 202 =
22 .
4ms- A lOms-1
& To define vector
completely tano
=
,
2
also need K of resultant
:
0 arctan (2) 63 4
=
=
(4 made with horizontal/vertical) .
Force, Energy, Momentum
, 01 SCALARS & VECTORS
Scalar & Size
magnitude
·
:
vector :
magnitude & direction
1
.
Scalars & Vectors
-corresponding scalar & vector pairs
some do have
not
corresponding partners
-
-vectors diagramatically represented by arrows :
7
10m/s to the east the length of the arrow
X represents size/magnitude
15 m/s to north
-
·
symbols for vectors :
-
either written in BOLD
-
or with line underneath letter
30N to the north-east
ex) U 1
-in
or
, 2 .
Adding Vectors
·
Adding forces (N)
gravitational field strength
W =
my -
=
9 .
81Nkg"/about lONkg-1
-
Adding vectors gives rise to
In resultant vector
equivalent
-
Depending on the direction of the vectors ,
the value can change
um
Ex) 600N + 85ON =
1450N
↓ =>
same direction
addition
W
W
Ex) 600N I 850N -
250N
opp . direction
↑ >
↑
subtraction
~
·
Adding Vectors not at 90° angles
If vectors
-
at
angles to each other ,
use
trigonometry or
Resultant
scale
drawing
Force
-met -
resultant force can be found
by measuring the length of resultant force
& with the
600N ⑧
850N measuring the angle it makes
30
vertical or horizontal
7
-
Tigonometry can also be used
* arrow-head of one of the
vectors must be joined to the
start of the other vector &
, . Adding perpendicular
vectors
be used add vectors
-
Pythagoras can to
perpendicular
M
7
& draw diagram wI the arrow-head
of one vector touching the fail of next
A lOms-1
-
B toms-1 A +
B
resultant
B 20ms1
2
using Pythagoras ,
magnitude of Resultant A +
B 20 -
- 202 =
22 .
4ms- A lOms-1
& To define vector
completely tano
=
,
2
also need K of resultant
:
0 arctan (2) 63 4
=
=
(4 made with horizontal/vertical) .
