Final answer:
The total work done on the box is 999 J.
Step-by-step explanation:
The work done on an object can be calculated by multiplying the force applied to the object by the distance the object moves in the direction of the force. In this case, the force applied is 185 N and the distance moved is 5.4 m. To calculate the total work done on the box, we need to consider both the work done by the pushing force and the work done against friction. The work done by the pushing force (Wpush) is calculated using the formula W = F * d * cos(θ), where F is the force applied, d is the distance over which the force is applied, and θ is the angle between the force and the displacement (which is 0° because the force is horizontal). The work done against friction (Wfriction) is negative because the friction force acts in the opposite direction to the displacement. The kinetic friction force () can be calculated using the formula = μk * N, where μk is the coefficient of kinetic friction, and N is the normal force, which is equal to the weight of the box (mass * g, with g being the acceleration due to gravity).
So, the work done on the box is:
Work = Force x Distance
Work = 185 N x 5.4 m = 999 J