Question

Derive F=ma, using newtons second law of motion​

Answer 1

Explanation:

Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .

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Answer 2

Second law of motion :

The rate of change of momentum is directly proportional to the applied force and takes place in the direction in which the force acts.

➞ Force ∝ Change in momentum ÷ Time taken

➞ F ∝ mv - mu/t

➞ F ∝ m(v - u)/t

➞ F ∝ ma

➞ F = k × m × a

Where,k is constant.

➞ k = F/ma

➞ k = 1 N/1 kg × 1 m/s²

➞ k = 1

➞ F = 1 × m × a

➞ F = ma

Hence,proved.

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First law of motion :

A body at rest will remain at rest and a body in motion will continue in motion in a straight line with uniform speed,unless it is compelled by an external force.

Third law of motion :

To every action there is an equal and opposite reaction.