Which of the following best describes why the unit of force is chosen as newton?
It makes the constant k in the formula "F = k ma" equal to 1
Newton's second law is written as F = k m a, where k is a proportionality constant. The SI unit of force, the newton, is defined as the force that gives a mass of 1 kilogram an acceleration of 1 metre per second squared.
With that definition, when m = 1 kg and a = 1 m/s2, F becomes 1 N, which forces the constant k in F = k m a to be exactly 1. That is why the equation is usually written simply as F = m a. The unit is not chosen to simplify velocity calculations, nor to link it to weight, nor to make mass and acceleration numerically equal.
Hence, the answer is It makes the constant k in the formula "F = k ma" equal to 1.
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