Answer:
[tex]m=70.55\ kg[/tex]
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 :
[tex]F=\dfrac{mv^2}{r}[/tex]
[tex]m=\dfrac{Fr}{v^2}[/tex]
[tex]m=\dfrac{635\times 100}{(30)^2}[/tex]
[tex]m=70.55\ kg[/tex]
So, the mass of the pilot and the plane is 70.55 kg.