HOW MEASURMENT OF FORCE OBTAINED FROM NEWTON SECOND LAW OF MOTION
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Force = mass × acceleration is the required relation which gives the measurement if force✌
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Newton's second law of motion states that Force is Directly proportional to the change in momentum of an object. Thus,
F ∞ ∆p
F ∞ (mv - mu)/t
Taking m common,
F ∞ m(v - u)/t
=> F ∞ ma
(Since, {v - u}/t = a)
=> F = kma
(where k is the constant)
For 1 Newton of Force applied on an object of mass 1 kg, which produce an acceleration of 1m/s², value of k becomes 1, thus,
F = ma
where, F stands for force, m for mass, a for acceleration, p for momentum, t for time and v and u for final and initial velocity respectively.
F ∞ ∆p
F ∞ (mv - mu)/t
Taking m common,
F ∞ m(v - u)/t
=> F ∞ ma
(Since, {v - u}/t = a)
=> F = kma
(where k is the constant)
For 1 Newton of Force applied on an object of mass 1 kg, which produce an acceleration of 1m/s², value of k becomes 1, thus,
F = ma
where, F stands for force, m for mass, a for acceleration, p for momentum, t for time and v and u for final and initial velocity respectively.
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