Question

Hey there,
I want to know what is k in f=kma. I have done some research and i got to know it's proportionally constant, so what is proportionally constant?

Answer 1

In F = k ma, k is constant. In second law we know that ' the rate of change of momentum is directly proportional to the applied force and takes place in the direction in which the force acts '.

So,we write it as

➞ Force ∝ Change in momentum / Time taken

➞ F ∝ mv - mu/ t

➞ F ∝ m (v - u)/ t

As we know that,

• a = 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

➞ Force = Mass × Acceleration