Q. The condition of apparent weightlessness can be created momentarily when a plane flies over the top of a vertical circle. At a speed of 900 $kmh^{- 1}$, the radius of the vertical circle that the pilot must use is

A) 10.6 km
B) 8.5 kg
C) 6.4 km
D) 4.0 km
Explanation

(c) Here, $v = 900\ km{\ h}^{- 1} = \frac{900 \times 1000}{60 \times 60} = 250\ ms^{- 1}$
$g = 9.8\ ms^{- 2}$
For apparent weightlessness, $\frac{mv^{2}}{r} = mg$
$r = \frac{v^{2}}{g} = \frac{250 \times 250}{9.8}$
$= 6377.5\ m = 6.4\ km$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.