A jet traveling at a speed of $1\mathrm{.}60102$ m$/$s executes a vertical loop with a radius of $7\mathrm{.}75102$ m$.$$$ Find the magnitude of the force of the seat on a $70\mathrm{.}0$ kg pilot at the following positions: 

 

$($a$)$ the top of the loop

N

$($b$)$ the bottom of the loop

N