state newton's second law of motion and also explain mathematical formulation of second law of motion
Answers
Answer:
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Explanation:
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Answer:
It states that the rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which the force acts. Mathematical formulation of Newton's Second Law of Motion: Let mass of an moving object be m. Let is initial velocity be u and final velocity be v.
Explanation:
Mathematical formulation of Newton’s Second Law of Motion:
Let mass of an moving object be m.
Let is initial velocity be u and final velocity be v.
We know that momentum (p) = Mass × velocity
Therefore,
Initial momentum of object = mu
And Final momentum of the object = mv
Therefore, change in momentum = mv – mu
Where k is the proportionality constant
Now, 1 unit force is defined as the force applied on an object of mass 1kg to produce the acceleration of 1m/s2.
Thus, 1 unit of force = k ×1kg ×1m/s2
⟹ k = 1
By putting the value of k=1 in equation (ii), we get:
F = ma
i.e., Force = Mass × Acceleration
The SI unit of Force
SI unit of force is Newton (N).
Since Force = Mass x Acceleration
The unit of mass = kg and The unit of acceleration = m/s2
If force, mass and acceleration is taken as 1 unit.
Therefore,
1 Newton (N) = 1kg x 1m/s2
Thus, Newton (N) = kg m/s2
Thus, one unit of force is defined as the amount that produces an acceleration of 1 m/s2 in an object of mass 1 kg.