These equations/definitions are not needed
for this project but
may help you understand the video's algorithm/code better.
Force, Mass, and Accelerations
F = m*a
F force on an object
m mass of an object
a acceleration
Distance Traveled Under Acceleration
d = v*Δt + ½*a*Δt2
Finds the distance traveled (d) of an object with an initial
velocity (v), acceleration (a), and time (Δt) traveled.
d distance traveled
v initial velocity (speed and direction)
Δt time traveled
a acceleration
Note: A mass accelerating at 32 f/s2 will travel
16 feet in one second, not 32 feet.
The Gravitation Force Between Two Objects
G*m1*m2
F = -------
r2
F is an attractive force acting along a
line joining the two centers of mass
G gravitational constant
m1 mass of object 1
m2 mass of object 2
r distance between the center of the
two masses
Momentum
Note: Newton's first law states that every object will
remain at rest or in uniform motion in a straight line
unless acted on by an external force.
Momentum is a measure of how much motion an object has.
It is determined by its mass and velocity. Essentially,
it reflects how difficult it is to stop a moving object,
with more momentum indicating greater resistance to
change in motion.
(e.g. A truck is harder to stop than a bicycle.)
p = m*v
p object's momentum
m object's mass
v object's velocity (speed and direction)
A force applied to an object for a specific time interval will
cause a change in its momentum.
In other words, To change the momentum of an object,
you need to either change its mass or its velocity,
or both.
Δp = m*Δv
Δp change in momentum
m mass (does not change in this project)
Δv change in velocity (speed and direction)
Definitions
Mass is a fundamental property of matter that
quantifies the amount of inertia or resistance to
acceleration an object possesses. Mass is different from
weight, which is a force due to gravity.
- The standard unit of mass in the International System
of Units (SI) is the kilogram (kg).
- The standard unit of mass in the imperial, US customary,
and avoirdupois systems is the pound (lb or lbm).
It is equivalent to 0.453592 kilograms.
- The conversion factor is 1kg to 9.8N
-
Pound (mass) (Wikipedia)
Force is an influence that can cause an object to
change its velocity unless counterbalanced by other forces.
- The standard unit of force in the International System
of Units (SI) is the newton (N).
- The standard unit of mass in the imperial systems is
the pound (lb).
-
Force (Wikipedia)
Acceleration is the rate of change of the velocity
of an object with respect to time.
- The SI unit for acceleration is meters per
second squared. (m/s2)
- The imperial unit for acceleration is feet
per second squared. (f/s2)
-
Acceleration (Wikipedia)
Momentum is a measure of how much motion an object has,
determined by its mass and velocity. In simpler terms, it is
"mass in motion". Essentially, it reflects how difficult it
is to stop a moving object, with more momentum indicating
greater resistance to change in motion.
(
Momentum - Wilipedia)