A stunt pilot in an air show performs a loop$-$the$-$loop in a vertical circle of radius $2\mathrm{.}89103$ m$.$ During this performance the pilot whose weight is $605$ N$,$ maintains a constant speed of $2\mathrm{.}15102$ m$/$s$.$

$($a$)$

When the pilot is at the highest point of the loop determine his apparent weight in N$.$

N

$($b$)$

At what speed, in m$/$s$,$ will the pilot experience weightlessness?

m$/$s

$($c$)$

When the pilot is at the lowest point of the loop determine his apparent weight in N$.$

N