Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 416 N and F2 = 363 N. (Assume up and to the right as positive directions.)

It is about time you learned what constitues a complete question. You have not indicated the directions of the forces and you have not asked a question.

I'm sorry, but I cannot see the figure you are referring to. Could you provide a more detailed description or any additional information?

Unfortunately, there is no figure provided, so we cannot visually see the forces applied to the car. However, I can explain how to solve the problem based on the given information.

To find the net force acting on the car, we need to determine the horizontal and vertical components of each force and then add them up. The net force is the vector sum of all the individual forces acting on an object.

Let's assume that F1 is the force applied in the horizontal direction (rightward), and F2 is the force applied in the vertical direction (upward). Since up and to the right are defined as positive directions, we will consider positive values for the forces applied in those directions.

To determine the horizontal component of each force, we need to find the cosine of the angle that each force makes with the horizontal direction. We can use the formula:

Horizontal Component = Force * cos(angle)

Similarly, to find the vertical component of each force, we need to find the sine of the angle that each force makes with the vertical direction. We can use the formula:

Vertical Component = Force * sin(angle)

Once we have the horizontal and vertical components for each force, we can add them up to find the net force acting on the car in each direction. The net force in the horizontal direction will give us the total force acting to move the car horizontally, and the net force in the vertical direction will give us the total force acting to move the car vertically.