Question

Q 1: A pilot is flying a small plane at 30.0 m/s in a circular path with a radius of 100.0 m. If a centripetal force of 635N is needed to maintain the pilot’s circular motion, what is the mass of the pilot and the plane? (70.6 kg)

Answer 1

`m=70.55\ kg`

Step-by-step explanation:

Given that,

Speed of the plane, v = 30 m/s

Radius of the circular path, r = 100 m

The centripetal force acting on the plane, F = 635 N

To find,

The mass of the pilot and the plane.

Solution,

When an object moves in a circular path, the force acting on it is called centripetal force. Its formula is given by :

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

`m=(Fr)/(v^2)`

`m=(635* 100)/((30)^2)`

`m=70.55\ kg`

So, the mass of the pilot and the plane is 70.55 kg.