You are pushing down on a sled with a child on it wiht a force of $100$N at an angle of $30$ degree BELOW the horizontal. The child $$and sled have a combined mass of $30\mathrm{.}0$kg$.$ The coefficient of kinetic friction is $0\mathrm{.}100.$

$($a$)$ Draw the force diagram of the sled $$and  child and create the table of force components. 

$($b$)$ Calculate the normal force of the sled and $$child. 

$($c$)$ Calculate the friction force. 

$($d$)$ What is the acceleration of the sled and child?