Understanding the Concepts

* Net Force: The net force is the overall force acting on an object. It's calculated by adding all the forces acting on the object, considering their directions.

* Newton's First Law (Law of Inertia): An object at rest stays at rest, and an object in motion stays in motion at a constant velocity, unless acted upon by a net force.

Solution

1. Calculate the Net Force:

* The forward force is 750 N.

* The backward force is 550 N.

* Net force = 750 N - 550 N = 200 N forward

2. Non-Accelerated Motion:

* For the cart to have non-accelerated motion (constant velocity or rest), the net force acting on it must be zero.

3. Additional Force Needed:

* To achieve a net force of zero, we need to apply a force equal in magnitude but opposite in direction to the current net force.

* Therefore, an additional force of 200 N backward is needed to produce non-accelerated motion.

In summary: To make the cart move at a constant velocity or stay at rest, you need to add a 200 N force acting backward.