$19)$You have a two$-$wheel trailer that you pull behind your ATV. Two children with a combined mass of $84\mathrm{.}7kg$ hop on board for

a ride through the woods and the springs $($one for each wheel$)$ each compress by $5\mathrm{.}17cm.$ When you pull the trailer over a

tree root in the trail, it oscillates with a period of $1\mathrm{.}14s.$ Determine the following.

$($a$)$ force constant of the springs

$\frac{N}{m}$

$($b$)$ mass of the trailer

$kg$

$($c$)$ frequency of the oscillation

$Hz$

$($d$)$ time it takes for the trailer to bounce up and down $10$ times