Question

establish from newton's second law of motion
F = ma​

Answer 1

Answer:

Newton's second law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a). ... This means the more mass an object has, the more force you need to accelerate it.

Explanation:

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Answer 2

Newtons Second law of motion states that rate of change of momentum in an object is directly proportional to the applied unbalanced force in it's direction.

Mathematical Derivation:

Consider a body of mass m moving with initial velocity u.

Let a force F act on the body for time 't' such that velocity of the body after time is V.

Now,

Initial momentom of the body would be:

• Initial momentum = Mass × Velocity = mu
• Final momentum = Mass × Velocity = mv

Rate of change of momentum = (mv - mu) ÷ t

→ Rate of change of momentum = m(v - u) ÷ t

We know that:

(v - u) ÷ t = a

Rate of change of momentum = m × a

From Second law of motion,

Force applied is directly proportional to the rate of change of momentum.

Hence, f ∝ ma

→ f = k × ma

where k is constant of proportionality.

When k = 1,

F = ma