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Question

Write the mathematical form of Newton's second law of motion. State condition if any.

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Solution

Newton's second law states that force is equal to the rate of change of momentum or the acceleration of an object depending upon two variables – the net force acting on the object and the mass of the object.

The mathematical form of Newton's second law of motion is

F=ΔPΔt

where F = Net external force acting on the body
ΔP = Change in momentum
Δt = Time

This can also be written as

F=m×a

Conditions

  1. The speed of the object doesn't approach the speed of light.
  2. The mass of the object must be constant

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