Question

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?

Answer 1

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,

`F=(mv^2)/(r)`

where m is the mass, v is the speed, and r is the radius,

Substituting the known values,

`\begin{gathered} F=(410*35^2)/(6.1) \\ F=82336.1\text{ N} \\ F=82.3*10^3\text{ N} \\ F=82.3\text{ kN} \end{gathered}`

Thus, the centripetal force acting on the object is 82.3 kN.