Topics
Covered This Unit
Free Falling
(straight down) Free Falling
(throwing things up at an angle)
Free Falling (at an angle) Free Falling (throwing things straight up)
Newton’s Second Law Falling
with Air Resistance (Skydiving)
Important
Relationships
“Acceleration
is directly related to force and is inversely proportional to mass.”
a=F/m
Important
Equations
d=(1/2)gt2 a2+b2=c2
v=gt v=d/t
What
Equations go with What
Vertical
|
Horizontal
|
|
How Far
|
d=(1/2)gt2
|
v=d/t
|
How Fast
|
v=gt
|
v=d/t
|
Newton’s
First Law
a=F/m w=mg a=1/m a~F
“Acceleration
is directly related to force and is inversely proportional to mass.”
To
increase acceleration, increase the force, or decrease the mass. To decrease
the acceleration, decrease the force, or increase the mass
Translating
it to graph:
y=mx+b à
acceleration=Fnet (1/m) slope=
fnet
Falling with Ari Resistance
(Skydiving)
Increasers of Air
Resistance
|
|
1.)
|
Increase of Surface Area
|
2.)
|
Increase of Speed
|
When a person falls through the
air, their acceleration decreases, their velocity increases and their Fnet
decreases
acceleration=(Fweight-Fair)/(mass)
When a person opens their
parachute, their acceleration changes direction (because Fair is larger than
Fweight), their velocity stays same direction but slows down (because person is
still falling), and their Fnet changes direction (upwards) because Fair is
larger than Fweight.
Why does a lead ball
hit the ground before a ping pong ball when dropped from a building and not
when falling from a table?
This
is because from the building, there would be enough time for the two balls to
reach terminal velocity. The steel ball will go faster because it has a greater
weight than the ping pong ball. This makes the lead ball have to compensate by
going faster, which increases it’s Fair.
How do the
velocities, acceleration, and net-forces
compare when a skydiver is skydiving without the parachute open, and after the
parachute is open (both times in terminal velocity)?
The
only thing that is different between the two is that the velocity is slower.
Netforce is the same, and acceleration is the same because the weight of the
diver does not change, meaning their F-weight does not change, meaning that if
the diver is to reach Terminal Velocity, it must retain the same F-air, meaning
the net-force is the same.
During
Terminal Velocity…
Acceleration is 0m/s2 Velocity
is constant
Netforce is 0N Diver is at their fastest point
possible
Free Falling (Straight Down)
THE ONLY FORCE IS GRAVITY
Weight does not matter
“When an object falls due to the
effect of gravity ONLY”
How Far
|
d=(1/2)gt2
|
How
Fast
|
v=gt
|
acceleration=gravity
Free Falling (at an angle)
The only thing that determines
time in the air is vertical height
Vertical
|
Horizontal
|
|
How Far
|
d=(1/2)gt2
|
v=d/t
|
How Fast
|
v=gt
|
v=d/t
|
Falls in a parabolic curve
Free Falling (throwing things up
at an angle)
a2+b2=c2
will help you find actual velocity
These
are special triangles that will appear on a test. The Hypotenuse is the actual
velocity (c)
Vertical
|
Horizontal
|
|
How Far
|
d=(1/2)gt2
|
v=d/t
|
How Fast
|
v=gt
|
v=d/t
|
Acceleration at the top of an
object’s path will be 10m/s2 because of gravity
Velocity at the top of an object’s
path will be the horizontal velocity because vertical velocity=0
Free Falling (throwing things
straight up)
Always measure things from rest,
meaning measure time and distance from the top of an object’s path, down.
Velocity at the top of an object’s
path will be 0m/s
Acceleration at the top of an
object’s path will be 10m/s2 because gravity does not stop working.
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