A plane is doing a parabolic wieghtless flight to train astronauts. The plane ge

Question

A plane is doing a parabolic wieghtless flight to train astronauts. The plane gets up enough speed to shut off it's engine when it gets on a arc with radius of 1 km and glide to the top of the semicircle, where the gravity must be zero. What must the velocity be when the plane turns off the engines?
A plane is doing a parabolic wieghtless flight to train astronauts. The plane gets up enough speed to shut off it's engine when it gets on a arc with radius of 1 km and glide to the top of the semicircle, where the gravity must be zero. What must the velocity be when the plane turns off the engines?

Explanation / Answer

Here centrifugal force must be equal to gravitational force..

therefore

m*v*v/r = m*g m cancels out

v^2=g*r

v^2=10*1000 m2s-2

v=100 m sec-1

where v is the velocity

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