Question $3$: $(6pts)$ A $50-kg$ child riding a Ferris wheel $($radius $=10m)$ travels in a vertical circle. The wheel completes one revolution every $10$ s $.$ What is the magnitude of the force on the child by the seat at the highest point on the circular path?

$($a$)0\mathrm{.}29$ kN

$($b$)0\mathrm{.}49$ kN

$($c$)0\mathrm{.}69$ kN

$($d$)0\mathrm{.}20$ kN

$($e$)0\mathrm{.}40$ kN