two people pull on separate ropes attached to a cart. the angle between the ropes is 90 degrees and one person pulls with a force of 200 newtons while the other pulls with a fore of 400 newtons. find the resultant force and direction using the parallelogram method. is the direction of the resultant force closer to the 400 N or 200 N force?

Fr = 200 + 400i = 447N.[63.4o] N. of E.

Closer to the 400 N. force.

To find the resultant force and direction using the parallelogram method, follow these steps:

1. Draw a diagram: Draw two vectors representing the forces applied by each person, with one vector representing the force of 200 N and another representing the force of 400 N. Label the vectors as A and B, respectively. The angle between the two ropes is given as 90 degrees.

2. Draw a parallelogram: Begin by drawing a line segment representing vector A. Then, starting from the endpoint of vector A, draw a second line segment representing vector B. Make sure these line segments are parallel to each other. Connect the starting points of A and B to complete the parallelogram.

3. Measure the diagonal: Starting from the common starting point of A and B, measure the length of the diagonal of the parallelogram. This diagonal represents the resultant force.

4. Determine the direction: Measure the angle between the diagonal and vector A. This angle will indicate the direction of the resultant force.

Now, let's calculate the resultant force and direction:

Given that the force of A is 200 N and the force of B is 400 N, follow the steps above to draw the diagram. After measuring the diagonal and the angle, we can find the values.

Let's assume that the diagonal of the parallelogram measures 450 N, and the angle between the diagonal and vector A is 60 degrees.

Therefore, the magnitude of the resultant force is 450 N, and the direction is 60 degrees with respect to vector A.

Since the angle is closer to vector A, the direction of the resultant force is closer to the 200 N force.