Net Force Equilibrium Hidden Message Answer Key - Fill Online ... - Free Printable

To solve the problems on the "Net Force Worksheet," we need to calculate the net force acting on each box by summing up all the forces acting on it. The direction of the net force (left or right) will also be determined based on the resultant force.

Key Points:

1. Forces Acting to the Right: Consider these as positive values.
2. Forces Acting to the Left: Consider these as negative values.
3. Net Force: Sum all the forces, taking into account their directions.
4. Direction of Net Force:
- If the net force is positive, it acts to the right.
- If the net force is negative, it acts to the left.

Solutions:

#### Problem 1:
- Forces: \( 4 \, \text{N} \) (left)
- Calculation: \( -4 \, \text{N} \)
- Net Force: \( -4 \, \text{N} \) (left)

#### Problem 2:
- Forces: \( 7 \, \text{N} \) (left), \( 2 \, \text{N} \) (right)
- Calculation: \( -7 \, \text{N} + 2 \, \text{N} = -5 \, \text{N} \)
- Net Force: \( -5 \, \text{N} \) (left)

#### Problem 3:
- Forces: \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (left)
- Calculation: \( 4 \, \text{N} + (-4 \, \text{N}) = 0 \, \text{N} \)
- Net Force: \( 0 \, \text{N} \) (no direction)

#### Problem 4:
- Forces: \( 6 \, \text{N} \) (right), \( 3 \, \text{N} \) (right)
- Calculation: \( 6 \, \text{N} + 3 \, \text{N} = 9 \, \text{N} \)
- Net Force: \( 9 \, \text{N} \) (right)

#### Problem 5:
- Forces: \( 8 \, \text{N} \) (left), \( 4 \, \text{N} \) (right)
- Calculation: \( -8 \, \text{N} + 4 \, \text{N} = -4 \, \text{N} \)
- Net Force: \( -4 \, \text{N} \) (left)

#### Problem 6:
- Forces: \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Calculation: \( 4 \, \text{N} + (-5 \, \text{N}) = -1 \, \text{N} \)
- Net Force: \( -1 \, \text{N} \) (left)

#### Problem 7:
- Forces: \( 3 \, \text{N} \) (left), \( 3 \, \text{N} \) (left)
- Calculation: \( -3 \, \text{N} + (-3 \, \text{N}) = -6 \, \text{N} \)
- Net Force: \( -6 \, \text{N} \) (left)

#### Problem 8:
- Forces: \( 2 \, \text{N} \) (right), \( 4 \, \text{N} \) (right), \( 5 \, \text{N} \) (left)
- Calculation: \( 2 \, \text{N} + 4 \, \text{N} + (-5 \, \text{N}) = 1 \, \text{N} \)
- Net Force: \( 1 \, \text{N} \) (right)

#### Problem 9:
- Forces: \( 6 \, \text{N} \) (left), \( 3 \, \text{N} \) (right)
- Calculation: \( -6 \, \text{N} + 3 \, \text{N} = -3 \, \text{N} \)
- Net Force: \( -3 \, \text{N} \) (left)

#### Problem 10:
- Forces: \( 7 \, \text{N} \) (left), \( 4 \, \text{N} \) (right), \( 4 \, \text{N} \) (right)
- Calculation: \( -7 \, \text{N} + 4 \, \text{N} + 4 \, \text{N} = 1 \, \text{N} \)
- Net Force: \( 1 \, \text{N} \) (right)

Final Answers:

1. \( -4 \, \text{N} \) (left)
2. \( -5 \, \text{N} \) (left)
3. \( 0 \, \text{N} \) (no direction)
4. \( 9 \, \text{N} \) (right)
5. \( -4 \, \text{N} \) (left)
6. \( -1 \, \text{N} \) (left)
7. \( -6 \, \text{N} \) (left)
8. \( 1 \, \text{N} \) (right)
9. \( -3 \, \text{N} \) (left)
10. \( 1 \, \text{N} \) (right)

\boxed{
\begin{array}{ll}
1. & -4 \, \text{N} \, (\text{left}) \\
2. & -5 \, \text{N} \, (\text{left}) \\
3. & 0 \, \text{N} \, (\text{no direction}) \\
4. & 9 \, \text{N} \, (\text{right}) \\
5. & -4 \, \text{N} \, (\text{left}) \\
6. & -1 \, \text{N} \, (\text{left}) \\
7. & -6 \, \text{N} \, (\text{left}) \\
8. & 1 \, \text{N} \, (\text{right}) \\
9. & -3 \, \text{N} \, (\text{left}) \\
10. & 1 \, \text{N} \, (\text{right})
\end{array}
}