The total work done on the crate can be determined by calculating the work done by each force separately and then adding them together.
1. Work done by the applied force Fp = (Fp * cos(theta)) * d
where Fp = 87 N, theta = 38 degrees and d = 36 m
cos(theta) = cos(38) = 0.81915
Work done by Fp = (87 N * 0.81915) * 36 m = 2789.5 J
2. Work done by the friction force FFR = -(FFR * d)
where FFR = 51 N and d = 36 m
Work done by FFR = -(51 N * 36 m) = -1836 J
3. Work done by gravity
Work done by gravity = forcedistancecos(theta)
force of gravity = mg
where m = 2.6 kg and g = 9.8 m/s^2
Work done by gravity = 2.69.836cos(90) = 0 J
4. The total work done is the sum of the work done by each force:
Total work done = work done by Fp + work done by FFR + work done by gravity
Total work done = 2789.5 J + (-1836 J) + 0 J = 953.5 J
The total work done on the crate is 953.5 J.