An 85 kg object is moving at a constant speed of 15 m/s in a circular path, which has a radius of 20 meters. what centripetal force is exerted on the body ?

a. 63.75 n
b. 765.00 n
c. 956.25 n
d. 42.50 n

The correct answer is C. 956.25 N

If you are seeking for the computation, here it is:

The formula for Centripetal Force is:

Fc = [m × (V)²] ÷ r ; where Fc is Centripetal Force, m is mass, V is velocity and r is radius

Fc = [85 kg × (15 m/s)²] ÷ 20 m ; Substituting the given numbers. Simplify the underlined term by solving its exponential form.
Fc = [85 kg x 225 m²/s²] ÷ 20 m ; After that, continue with the PEMDAS rule by solving the underlined term.
Fc = 19,125 kg·m²/s² ÷ 20 m ; Now simplify the last operation. Also, you should cancel out the m (meter) unit from the radius as well as the exponent ² so that you will have kg·m/s² left as a unit which is also equal to N (Newton) which is the unit for Force.

Fc = 956.25 kg·m/s² or 956.25 N ; Final Answer

Less force and energy was applied