1. What is the Sum of Force Equation?

Definition: The net force acting on an object is the vector sum of all individual forces acting upon it.

Purpose: This principle is fundamental in physics for analyzing motion and equilibrium of objects.

2. How Does the Equation Work?

The equation is represented as:

Where:

• \( F_{net} \) — Net force (Newtons, N)
• \( F_i \) — Individual forces (Newtons, N)

Explanation: Forces are vectors, so direction matters. This calculator sums magnitudes only. For vector addition, consider direction components.

3. Importance of Net Force Calculation

Details: Net force determines an object's acceleration (F=ma). Zero net force means no acceleration (constant velocity or at rest).

4. Using the Calculator

Tips: Enter up to three force magnitudes. The calculator sums them algebraically. For more forces, add them sequentially.

5. Frequently Asked Questions (FAQ)

Q1: How do I account for force direction?
A: For opposite directions, enter negative values. This calculator performs algebraic summation.

Q2: What if I have more than three forces?
A: You can chain calculations - use the result as one input for the next calculation.

Q3: What's the difference between net force and resultant force?
A: They're essentially the same - the vector sum of all forces acting on an object.

Q4: How is this related to Newton's Second Law?
A: Net force equals mass times acceleration (F=ma). This calculator helps find the F in that equation.

Q5: What units should I use?
A: The calculator uses Newtons (N). 1 N = 1 kg·m/s².