Question

state Newton's second law of motion and prove that f = ma​

Answer 1

Newton's 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

As we know that the formula of acceleration is :-

• a = v - u/t

↦ F = k × m × a

Where k is constant,

↦ k = 1 N/ 1 kg × 1 m/s²

↦ k = 1

↦ F = 1 × m × a

↦ F = ma

Or,

↦ Force = Mass × Acceleration

Examples of Newton's second law of motion :-

• Catching a cricket ball.
• The case of a high jumper.
• The use of seat belts in cars.