MooMansun
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F = dp/dt = d(m·v)/dt = m·a (in the case where m does not depend on t)
where
F is the force (a vector quantity),
p is the momentum,
t is the time,
v is the velocity,
m is the mass, and
a=d²x/dt² is the acceleration, the second derivative with respect to t of the position vector x.
If we examine the above formula and apply it to a real-world scenerio, such as a collision we begin to see clearly that the variables will change during an impact. In a simplistic scenario, velocity, momentum and acceleration would decrease in the colliding object, and increase in the object that it was in collision with.
This would result in a loss of force over the duration of the event by application of the conservation of momentum, which is a conservation of energy.
In essence, f=F-e.