1. What is Resultant Force?

Definition: The resultant force is the single force that represents the vector sum of all forces acting on an object.

Purpose: It simplifies multiple forces into one equivalent force for analysis of motion or equilibrium.

2. How Does the Formula Work?

The formula is:

Where:

• \( F_r \) — Resultant force (Newtons, N)
• \( \sum F \) — Sum of all individual forces (Newtons, N)

Explanation: For forces acting along the same line, simply add them algebraically (considering direction as positive/negative).

3. Importance of Resultant Force

Details: Calculating resultant force is fundamental in physics and engineering to determine an object's acceleration (via F=ma) or to check for equilibrium.

4. Using the Calculator

Tips: Enter all forces separated by commas. Positive values typically represent one direction, negative values the opposite direction.

5. Frequently Asked Questions (FAQ)

Q1: How do I handle forces in different directions?
A: Assign positive/negative signs to opposite directions (e.g., left = negative, right = positive).

Q2: What if forces act at angles?
A: This calculator is for collinear forces. For angular forces, vector components must be calculated first.

Q3: What does a zero resultant force mean?
A: The object is in equilibrium (either at rest or moving with constant velocity).

Q4: How is this different from net force?
A: They are essentially the same concept - the vector sum of all forces.

Q5: What units should I use?
A: The calculator uses Newtons (N). If using other units, convert to N first.