Question $12$

$1$ pts

A stunt pilot pulls their plane out of a dive into a vertical circle. At the bottom of the dive, the tangential speed of the airplane is $400\frac{(m)}{(s)}.$ What is the smallest radius allowable for the vertical circle such that the pilot's apparent weight does not exceed $7\mathrm{.}0$ times his true weight? Assume that $g=10\frac{(m)}{s^2}.$

$1130$ m

$1970$ m

$2670$ m

$3140$ m

$4500$ m