An aerobatic airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. the acceleration of gravity is 9.8 m/s 2 . if her speed is 210 m/s at this time, find the radius of the loop. answer in units of km.

For weightless object, the gravity is equal to the centripetal acceleration.   The radius of the loop is 4.5 km.

Centripetal Acceleration formula is,

Where,

V-  velocity =  210 m/s

r -  radius = ?

As we know that for weightless object,

Gravity =  centripetal acceleration

hence a =  g

g =

put the value in the formula,

Hence, we can conclude that the radius of the loop is 4.5 km.

To know more about centripetal acceleration, refer to the link:

link

think its the third option