On a level surface, you have to consider only the total friction force of the moving components of the cart, like bearing, wheels, etc.
On an inclined surface, you have to consider the friction force plus the force of gravity acting in the direction of motion.
The gravity force can be calculated by considering the total weight of the cart (including the fruit).
The friction force could be estimated but the easiest way is to build the cart, place it on a level surface and pull it with a hand-held weighing scale. Convert the measured weight to force and then calculate the torque based on the wheels-gears arrangement.
the way Michaelis described is very good. But in the way of reality you have to add losses for everey component and change of energy. Then you are ready to calculate. The posssiblity to build it first is also one way, but pre-calculation can give you a better result.