Answer:
[tex]\frac{dF}{dr} = -4.82[/tex]
Explanation:
As we know that the centripetal force is given as
[tex]F = \frac{mv^2}{r}[/tex]
now we will have to find the rate of change in force with respect to its radial distance
so we have
[tex]\frac{dF}{dr} = - \frac{mv^2}{r^2}[/tex]
so we have
m = 1000 kg
v = 13.89 m/s
r = 200 m
now we have
[tex]\frac{dF}{dr} = -\frac{1000(13.89^2)}{200^2}[/tex]
[tex]\frac{dF}{dr} = -4.82[/tex]
