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Science 10
Physics 10
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Significant Digits
Multiplication
&
Division
Rules
Multiplication & Division Rules
1. Carry out the full
operation
2. Do not round any part until the
final
answer
3. Round your final answer to the
least
# of
significant
digits the calculation
Addition and Subtraction Rules
Carry out the full
operation
Do not round until the
final
answer
Round your final answer to the
least
# of decimal places in the calculation
If there are multiple operations, use the
multiplication
and
division
rules
Scientific Notation
Used to concisely represent really
large
or really
small numbers
Allows us to represent
numbers
to the proper amount of
significant
digits
_.___ x
10
__
There is always
one
# to the
left
of the decimal
Expanding Scientific Notation
1. 4.5 x 103
2. 2.73 x 10-4
Uniform Motion
Motion in a
straight
line at a
constant
speed
Non-Uniform Motion
Motion
with a change in
speed
, direction, or both
Instantaneous Speed
Speed which something is
moving
at a particular
instant
in time
Average Speed
v =
speed
(m/s or km/h)
Δ =
change
d =
distance
(m or km)
t =
time
(s or h)
Distance-time graph (d-t graph)
For uniform motion,
line
of best fit is a straight line with a
positive slope
The graph shows
faster
or
slower
motion than the average speed
Slope
The measure of the
steepness
of a
line
Calculating slope
Never use data points
Look for 2 points on line of best fit that are in an
intersection
or
halfway
between grid lines
Calculating slope formula
1.
Y2
-
Y1
2.
X2
-
X1
Calculating slope
(3.5, 25)
(1.5, 10)
Slope = 25m - 10m
3.5 s - 1.5 s
= 7.5 m/s
Scalar
A quantity consisting of
magnitude
only
Vector
A quantity of
magnitude
and
direction
Velocity
Velocity and Displacement are
VECTORS.
They require a convention or a direction with
magnitude.
Velocity
v =
velocity
Displacement
Δ = change, d =
displacement
, t =
time
Displacement
The distance from your starting position to the
ending
position. It is a
vector
quantity so it requires a direction.
Sign Conventions
North (
positive
)
East (
positive
)
Up (
positive
)
Forward (
positive
)
South (
negative
)
West (
negative
)
Down (
negative
)
Backwards (
negative
)
Acceleration
Change in
velocity
over a specific
time
interval
Acceleration
is not
uniform
motion
Acceleration
It is a
vector
Calculating acceleration
Acceleration (m/s2) = (
final velocity
(m/s) -
initial velocity
(m/s)) / (final time (s) - initial time (s))
Positive acceleration
Both the change in
magnitude
and direction of the velocity are
positive
Negative acceleration
Both the change in magnitude and direction of the
velocity
are
negative
Acceleration with change in magnitude negative and direction positive
The change in magnitude of the
velocity
is negative and the direction of the
velocity
is positive
Uniform acceleration
Acceleration described by a sloping,
straight
line on a
velocity-time
graph
Force
A push or pull on an object, measured in
Newtons
(N)
Objects at Rest
Do not move since all
forces
acting on it are
balanced
Forces
equal
in magnitude,
opposite
directions
Objects in Motion
Move when a force moving in one direction is
greater
than a force moving in an
opposite
direction
Move in the direction of the
unbalanced
force
Once in motion, tend to stay in
uniform
motion
Unbalanced forces such as
friction
will either speed up or
slow
down the object
Work
When a
force
moves an object through a
distance
Requires: 1) there must be a
force
(F), 2) the object MUST move
position
(d), 3) object must move in same direction as the applied force
Joule
(J)
Unit of work, 1 J = 1 N m
Energy
The ability to do
work
, measured in
Joules
(J)
If we assume there is NO loss of energy during a transfer
The
change
in
energy
equals work done
Scalar
A quantity consisting of
magnitude
only
Vector
A quantity of
magnitude
and
direction
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