Answer:
[tex]F=mkv[/tex]
Explanation:
Given that
[tex]v = v_i - kx[/tex]
We know that acceleration a given as
[tex]a=\dfrac{dv}{dt}[/tex]
[tex]v = v_i - kx[/tex]
[tex]\dfrac{dv}{dt}=\dfrac{dv_i}{dt}-k\dfrac{dx}{dt}[/tex]
[tex]\dfrac{dv}{dt}=0-k\dfrac{dx}{dt}[/tex]
We know that
[tex]F=m\dfrac{dv}{dt}[/tex]
[tex]F=-mk\dfrac{dx}{dt}[/tex]
[tex]F=-mkv[/tex]
So the magnitude of force F
[tex]F=mkv[/tex]