Stunt pilot weighing 0.70 kn performs a vertical circular dive of radius 0.80 km. at the bottom of the dive, the pilot has a speed of 0.20 km/s which at that instant is notchanging. what force does the plane exert on the pilot

To solve this problem it is necessary to apply the concepts of the Centripetal Force and the force caused by gravity. The centripetal force can be described as

Where,

m = Mass

v = Velocity

r = Radius

At the same time the force caused by the weight can be described as

Where,

m = mass

g = Gravity

If we make a sum of Forces, the forces that act vertically on the body, both in the upward and downward direction must be equivalent to the centripetal Force, therefore

Here represents the force from Plane, then:

If we put the mass of the body according to the weight we would have to:

Converting to SI:

Therefore the forces that the plane exert on the pilot is 4271N