A sled plus passenger with total mass m$=57\mathrm{.}5$kgm$=57\mathrm{.}5$kg is pulled a distance d$=15\mathrm{.}6$md$=15\mathrm{.}6$m across a horizontal, snow$-$packed surface for which the coefficient of kinetic friction with the sled is k$=0\mathrm{.}231$k$=0\mathrm{.}231.$ The pulling force is constant and makes an angle of $=40\mathrm{.}7$$=40\mathrm{.}7$ above the horizontal. The sled moves at constant velocity.

$-$ Part $($a$)$

Using only the symbols introduced in the problem statement along with gg for the acceleration due to gravity, enter an expression for the work done by the pulling force.

WW $=$ d$$m$$g$$k$$cos$($$)/($cos$($$)+$sin$($$)$k$)$Correct$!$

$-$ Part $($b$)$

What is the work, in joules, done by the pulling force?

WW $=1694\mathrm{.}03$

WW $=16941694$JJ$$Correct$!$

$$ Part $($c$)$

Using only the symbols introduced in the problem statement along with gg for the acceleration due to gravity, enter an expression for the work done on the sled by friction.

WW $=$