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Two Forces 80 N And 100 N Acting At An Angle

Resultant Force Formula:

\[ F_r = \sqrt{80^2 + 100^2 + 2 \times 80 \times 100 \times \cos(\theta)} \]

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1. What is the Resultant Force Calculator?

Definition: This calculator determines the magnitude of the resultant force when two forces (80 N and 100 N) act at a specified angle between them.

Purpose: It helps physics students and engineers calculate the net effect of two vector forces acting at an angle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_r = \sqrt{80^2 + 100^2 + 2 \times 80 \times 100 \times \cos(\theta)} \]

Where:

Explanation: The formula comes from the Law of Cosines for vector addition, accounting for both the magnitudes of the forces and the angle between them.

3. Importance of Resultant Force Calculation

Details: Calculating resultant forces is fundamental in physics and engineering for understanding how multiple forces combine to affect an object's motion.

4. Using the Calculator

Tips: Enter the angle between the two forces (0° to 180°). The calculator will compute the magnitude of the resultant force.

5. Frequently Asked Questions (FAQ)

Q1: What happens at 0° angle?
A: At 0° (forces in same direction), the resultant is simply the sum (180 N).

Q2: What happens at 180° angle?
A: At 180° (forces in opposite directions), the resultant is the difference (20 N).

Q3: What's the maximum resultant force possible?
A: The maximum occurs at 0° (180 N), while the minimum occurs at 180° (20 N).

Q4: What angle produces a resultant equal to 100 N?
A: Approximately 75.5° would give a resultant force of 100 N.

Q5: Can I change the force magnitudes?
A: This calculator is specifically for 80 N and 100 N forces. For different magnitudes, you would need a different calculator.

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