Answer:
The first object is experiencing a larger centripetal force because its radius is smaller compared to the second object.
Explanation:
Given;
radius of the first object, r₁ = 10 cm = 0.1 m
radius of the second object, r₂ = 0.2 m
let the mass of the two objects, = m
let the speed of the two objects = v
The centripetal force of the first object is given by;
[tex]F_c_1 = \frac{mv^2}{r_1} \\\\F_c_1 = \frac{mv^2}{0.1}\\\\F_c_1 = 10mv^2[/tex]
The centripetal force of the second object is given by;
[tex]F_c_2 = \frac{mv^2}{r_2} \\\\F_c_2 = \frac{mv^2}{0.2}\\\\F_c_1 = 5mv^2[/tex]
Therefore, the first object is experiencing a larger centripetal force because its radius is smaller compared to the second object.
