Final answer:
The net force acting on the cart is 100 N to the right, calculated by subtracting the 100 N friction force opposing motion from the 200 N force applied to the right.
Step-by-step explanation:
The question asks for the net force acting on a cart given several forces in different directions. To find the net force, we calculate the vector sum of the individual forces. Given that the downward force due to gravity (100 N) and the upward normal force (100 N) cancel each other out because they are of equal magnitude and in opposite directions, these two forces will not contribute to the net force in the horizontal direction. The force applied to the right is 200 N, and the friction force opposing the direction of motion is 100 N. The net force would be the force applied (200 N) minus the friction force (100 N), resulting in a net force of 100 N to the right.