As shown in the figure below, a box of mass $m = 57.0 \, kg$ (initially at rest) is pushed a distance $d = 79.0 \, m$ across a rough warehouse floor by an applied force of $F_A = 202 \, N$ directed at an angle of $30.0^\circ$ below the horizontal. The coefficient of kinetic friction between the floor and the box is $0.100$. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.)
(a) work done by the applied force
$W_A = \text{____} \, J$
(b) work done by the force of gravity
$W_g = \text{____} \, J$
(c) work done by the normal force
$W_N = \text{____} \, J$
(d) work done by the force of friction
$W_f = \text{____} \, J$
(e) Calculate the net work on the box by finding the sum of all the works done by each individual force.
$W_{Net} = \text{____} \, J$
(f) Now find the net work by first finding the net force on the box, then finding the work done by this net force.
$W_{Net} = \text{____} \, J$
