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Math  /  Geometry

QuestionIn which direction in this diagram is there a net force of 200 N? right up down left 1 2 3

Studdy Solution

STEP 1

1. The forces are acting in a two-dimensional plane.
2. The forces are labeled in the diagram with their respective magnitudes and directions.
3. We need to calculate the net force in both the horizontal and vertical directions to find the resultant net force.

STEP 2

1. Calculate the net horizontal force.
2. Calculate the net vertical force.
3. Determine the direction of the net force.

STEP 3

Calculate the net horizontal force:
- Rightward force: 400 N 400 \, \text{N} - Leftward force: 200 N 200 \, \text{N}
Net horizontal force:
Fhorizontal=400 N−200 N=200 N (to the right) F_{\text{horizontal}} = 400 \, \text{N} - 200 \, \text{N} = 200 \, \text{N} \, \text{(to the right)}

STEP 4

Calculate the net vertical force:
- Upward force: 300 N 300 \, \text{N} - Downward force: 300 N 300 \, \text{N}
Net vertical force:
Fvertical=300 N−300 N=0 N F_{\text{vertical}} = 300 \, \text{N} - 300 \, \text{N} = 0 \, \text{N}

STEP 5

Determine the direction of the net force:
Since the net horizontal force is 200 N 200 \, \text{N} to the right and the net vertical force is 0 N 0 \, \text{N} , the net force is 200 N 200 \, \text{N} to the right.
The direction of the net force is:
right \boxed{\text{right}}

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