Hi there!
Recall the equation for centripetal force;
[tex]\boxed{F_c = \frac{mv^2}{r}}[/tex]
m = mass (kg)
v = velocity (m/s)
r = radius (m)
We are not given the mass directly, we are given the object's weight.
[tex]W = mg[/tex]
[tex]108 = 10m \\\\m = 10.8 kg[/tex]
Now, we can plug this value along with the given velocity and radius to solve:
[tex]F_c = \frac{10.8(5^2)}{5} = \boxed{54N}[/tex]
