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

Answer:

$m=70.55\ kg$

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 :

$F=\dfrac{mv^2}{r}$

$m=\dfrac{Fr}{v^2}$

$m=\dfrac{635\times 100}{(30)^2}$

$m=70.55\ kg$

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