1. What is the Work Formula With Force?

Definition: This calculator computes the work done when a force acts on an object over a distance at an angle.

Purpose: It helps physics students and professionals calculate mechanical work in various scenarios.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( W \) — Work done (Joules, J)
• \( F \) — Force applied (Newtons, N)
• \( d \) — Distance moved (meters, m)
• \( \theta \) — Angle between force and displacement (degrees)

Explanation: Work is calculated as the product of force, distance, and the cosine of the angle between them.

3. Importance of Work Calculation

Details: Understanding work helps in analyzing energy transfer in mechanical systems and solving physics problems.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° when force and displacement are parallel).

5. Frequently Asked Questions (FAQ)

Q1: What does θ=0° mean?
A: When θ=0°, the force is completely in the direction of motion (maximum work).

Q2: What happens when θ=90°?
A: At 90°, cos(90°)=0, meaning no work is done as force is perpendicular to displacement.

Q3: What are typical Newton values?
A: 1 N ≈ the force needed to accelerate 1 kg at 1 m/s². Human pushing force might be 50-500N.

Q4: Can work be negative?
A: Yes, when 90° < θ ≤ 180°, cos(θ) is negative, indicating force opposes motion.

Q5: How is this different from power?
A: Work is energy transfer; power is the rate of work done (work/time).