The pics seem vague. What are you defining as a force? The force of gravity is the same applied to the ball. You seem to be adding the balls momentum and then adding it as a force vector. Pick one. Are we talking about the ball's gravity or also the ball's momentum caused by gravity? You are forgetting an important ingredient: time. Force, momentum, etc. all require time in the equations, distance is only part of the equation.
Also, I don't know who started the drama between you and George, but I don't want any part of that. This is simply a response to the image you posted.
1. What are you defining as a force?
Vague question.
but...
In physics, when some form of energy causes change, in the movement, direction, or
the geometrical construction of an object, that energy is called a force.
That change can be to cause an object to begin to move from a state of rest.
That change can be to speed up an object's motion,
That change can be to maintain an object's motion at a constant speed.
That change can be to slow down an object
That change can be to end an object's motion.
That change can be to change the direction of an objects motion.
That change can be to change the geometrical shape of an object.
That change can be to keep an object from beginning to move, when under the specific
condition that two or more forces influencing an object are in equilibrium.
2. The force of gravity is the same applied to the ball.
Gravity acts upon the ball in all of the illustrations. That force as measured will be
/ (is by definition) direction specific (a vector).
The magnitude of that force varies, depending upon the direction in which it is
measured from.
Example A.
from directly beneath the the ball the force as a push, is maximal
Example B.
from directly above the the ball the force as a push, is zero
Example C.
upon a ramp which falls at a 45 degree incline from horizontal, the force
as a push, is 50% of the maximal .
3. You seem to be adding the balls momentum and then adding it as a force vector. Pick one.
First and foremost...
energy = force times displacement
force = energy divided by displacement
displacement = energy divided by force
force applied to cause...
time is not an element in these equations !
Energy transferred is equal to 1 Joule, when in opposition to a force of 1 newton, an object is
displaced 1 meter. 1 joule = 1 newton • 1 meter (by definition).
One joule is the amount of work done in lifting an object 1 meter, when that object has the same
weight (in standard gravity) as does a 0.101971 kilogram mass.
It is only because these are defined that...
f = ma... force = mass times acceleration, can be stated.
4. Are we talking about the ball's gravity or also the ball's momentum caused by gravity?
in the illustrations... neither
Rather the force exerted by gravity upon the ball, but also the direction dependence
of the opposing force to lift the ball. That force is equal to and opposite gravity's force
upon the ball (direction specific).
5. You are forgetting an important ingredient: time.
NO.
6. Force, momentum, etc. all require time in the equations, distance is only part of the equation.
incorrect.
Force does not.
Momentum does, because speed and/or velocity are integral parts of defining
momentum.
how to discuss momentum when force is not understood first ?
f = ma does not define force !
f = ma quantifies force, big difference.