Net Force Worksheet: Calculate the net force and direction for each of the 10 scenarios involving forces acting on a box.

To find the net force, we need to look at all the forces acting on the box and combine them.

The Rules:
1. Same Direction: If forces are pointing the same way (both left or both right), add them together.
2. Opposite Directions: If forces are pointing opposite ways (one left, one right), subtract the smaller number from the bigger number.
3. Direction: The net force always points in the direction of the stronger force.

Let's go through each problem:

1. One force:
* There is only one force: 4 N to the left.
* Since there is nothing pushing back, the net force is just that one force.
* Result: 4 N Left.

2. Two opposite forces:
* Left: 7 N
* Right: 2 N
* They are opposite, so we subtract: $7 - 2 = 5$.
* The left force is bigger, so the direction is Left.
* Result: 5 N Left.

3. Two opposite forces:
* Left: 4 N
* Right: 4 N
* They are opposite, so we subtract: $4 - 4 = 0$.
* The forces are balanced.
* Result: 0 N.

4. Two forces in the same direction:
* Right: 6 N
* Right: 3 N
* They are both pointing right, so we add: $6 + 3 = 9$.
* Result: 9 N Right.

5. Two opposite forces:
* Left: 8 N
* Right: 4 N
* They are opposite, so we subtract: $8 - 4 = 4$.
* The left force is bigger, so the direction is Left.
* Result: 4 N Left.

6. Two opposite forces:
* Left: 5 N
* Right: 4 N
* They are opposite, so we subtract: $5 - 4 = 1$.
* The left force is bigger, so the direction is Left.
* Result: 1 N Left.

7. Two forces in the same direction:
* Left: 3 N
* Left: 3 N
* They are both pointing left, so we add: $3 + 3 = 6$.
* Result: 6 N Left.

8. Three forces (Two right, One left):
* First, combine the forces going the same way: $2\text{ N (Right)} + 4\text{ N (Right)} = 6\text{ N Right}$.
* Now compare with the left force: 6 N Right vs. 5 N Left.
* Subtract: $6 - 5 = 1$.
* The right force is bigger.
* Result: 1 N Right.

9. Two opposite forces:
* Left: 6 N
* Right: 3 N
* They are opposite, so we subtract: $6 - 3 = 3$.
* The left force is bigger.
* Result: 3 N Left.

10. Three forces (Two left, One right):
* First, combine the forces going the same way: $7\text{ N (Left)} + 4\text{ N (Left)} = 11\text{ N Left}$.
* Now compare with the right force: 11 N Left vs. 4 N Right.
* Subtract: $11 - 4 = 7$.
* The left force is bigger.
* Result: 7 N Left.

Final Answer:
1. 4 N Left
2. 5 N Left
3. 0 N
4. 9 N Right
5. 4 N Left
6. 1 N Left
7. 6 N Left
8. 1 N Right
9. 3 N Left
10. 7 N Left