Respuesta :

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.