1. What is Work in Physics?

Definition: Work is done when a force causes displacement of an object in the direction of the force.

Purpose: This calculator helps determine the amount of work done when a force is applied to move an object at an angle.

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: Only the component of force in the direction of displacement does work. The cosine term accounts for the angle between force and displacement.

3. Importance of Work Calculation

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

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° for parallel force, 90° for perpendicular). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What happens when θ = 0°?
A: Maximum work is done as the force is parallel to displacement (cos(0°) = 1).

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

Q3: What are typical Newton values for common forces?
A: Lifting 1kg ≈ 9.8N, pushing a car ≈ 200-500N, weight of average person ≈ 500-800N.

Q4: How is this different from power?
A: Work measures energy transfer, while power measures the rate of work done (work/time).

Q5: What if the angle is greater than 90°?
A: Work becomes negative, meaning the force opposes the motion (cos(θ) is negative).