What is the centripetal force acting on an object with a mass of 410 kg moving at a speed of 35 m/s in a circle with a radius of 6.1 m?

Given data:
* The mass of the object is 410 kg.
* The radius of the circle is 6.1 m.
* The speed of the object is 35 m/s.
Solution:
The centripetal force acting on the object is,
[tex]F=\frac{mv^2}{r}[/tex]where m is the mass, v is the speed, and r is the radius,
Substituting the known values,
[tex]\begin{gathered} F=\frac{410\times35^2}{6.1} \\ F=82336.1\text{ N} \\ F=82.3\times10^3\text{ N} \\ F=82.3\text{ kN} \end{gathered}[/tex]Thus, the centripetal force acting on the object is 82.3 kN.