Question

write statement of newtons second law and mathematical formulation of newton's second law​

Answer 1

Explanation:

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Answer 2

Newton’s Second Law of Motion

• Newton’s second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

Second Law of Motion Formula

Let us consider an object of mass m, moving along a straight line with an initial velocity u. Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v. Here we see that, the initial momentumLaw Of MOmentum

Let us consider an object of mass m, moving along a straight line with an initial velocity u.

• Let us say, after a certain time t, with a constant acceleration, the final velocity becomes v.

• Here we see that, the initial momentum (p2) = m × u

The final momentum (p2) = m × v

The change in momentum can be written as

$p2 – p1 = (m × v)–(m×u) = m×(v – u)$

As we know, the rate of change of momentum with respect to time is proportional to the applied force.

Therefore, Force ∝Change in momentumTime Takeni.e

$F ∝ mv – mut \\ F ∝ \\ m(v–u)t \\ F ∝ m × a \\ F ∝ k × m × a \\ F = m × a$