the time rate of change of momentum given the measure of
Answers
Answer:
The time rate of change of momentum is
Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
Force can also be called the change in momentum.
Based on the assumption that there is not any external force that is acting right on the system, the overall change in momentum is directly proportional to the force applied.
F=kmv−
t
mu
F=
t
km(v−u)
F=km(v−
t
u
)
v−
t
u
=a
Hence F=kma
But k=1
Hence F=ma
And so since ma=m(v−
t
u
)
Then the time rate of change of momentum is equal to the product of mass and acceleration.
Based on all of this, it is clear that rate of change of momentum = mass x acceleration.
This holds true when there is no external force acting on the system.