A box has a mass of $10kg$ and is sitting on a $25-$degree ramp as shown.

Use the tilted coordinated system $($where the $+x$ direction is pointing down the ramp and the $+$y direction is pointing perpendicular out of the ramp$)$ and then answer the following. $($I suggest drawing the free body diagram first.$)$

$($a$)$ What is the magnitude of the weight vector?

$w=$

$N($round to the nearest integer$)$

$($b$)$ What is the direction of the weight vector?

${}_w=$

degrees $($enter an integer$)$

$($c$)$ What is the direction of the normal force vector?

${}_n=$

degrees $($enter an integer$)$

$($d$)$ What is the direction of the friction force?

${}_f=$

degrees $($enter an integer$)$

$($e$)$ What is the magnitude of the friction force vector?

$f=$

$N($round to the nearest integer$)$

$($f$)$ What is the magnitude of the normal force vector?

$n=$

$N($round to the nearest integer$)$