state the relation between force and momentum
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Formula of force = mass× acceleration (or) ma
Formula of momentum = mass× velocity (or) mv
There is a direct relationship between force and momentum. The rate at which the momentum changes with time is equal to the net force applied to an object. This relationship comes directly from Newton's second law of motion, F=ma. This is a special case of Newton's second law of a constant force which gives rise to a constant acceleration. The linking fact is that acceleration is the rate at which velocity changes with time. Therefore, we can determine the following:
We know that
F = m a
and since a = v - u / t
Then F = m (v - u / t )
which can also be written as
F = mv - mu / t
Substituting Pv for mv and Pu for mu, we get:
F = Pv- Pu / t
or F = P / t ========== ( last equation!!! )
From the last equation, we can determine that force (F) is equal to the change in momentum per time.
Formula of momentum = mass× velocity (or) mv
There is a direct relationship between force and momentum. The rate at which the momentum changes with time is equal to the net force applied to an object. This relationship comes directly from Newton's second law of motion, F=ma. This is a special case of Newton's second law of a constant force which gives rise to a constant acceleration. The linking fact is that acceleration is the rate at which velocity changes with time. Therefore, we can determine the following:
We know that
F = m a
and since a = v - u / t
Then F = m (v - u / t )
which can also be written as
F = mv - mu / t
Substituting Pv for mv and Pu for mu, we get:
F = Pv- Pu / t
or F = P / t ========== ( last equation!!! )
From the last equation, we can determine that force (F) is equal to the change in momentum per time.
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