1. What is the Work Done Formula?

Definition: This formula calculates the work done when a force moves an object over a distance at an angle.

Purpose: It helps physicists, engineers, and students understand energy transfer in mechanical systems.

2. How Does the Formula Work?

The formula is:

Where:

• \( W \) — Work done (Joules, J)
• \( F \) — Applied force (Newtons, N)
• \( d \) — Distance moved (meters, m)
• \( \theta \) — Angle between force and direction of motion (degrees)

Explanation: Work is only done by the component of force in the direction of motion (F cosθ).

3. Importance of Work Calculation

Details: Work calculations are fundamental in physics for understanding energy transfer, mechanical advantage, and system efficiency.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does θ=0° mean?
A: The force is parallel to the direction of motion (maximum work done).

Q2: What happens when θ=90°?
A: No work is done as the force is perpendicular to the motion direction.

Q3: What are typical Newton values?
A: 1 N ≈ the force of Earth's gravity on 102g (an apple). Human forces range 10-1000N.

Q4: How does angle affect work?
A: Work decreases as angle increases from 0° to 90° (following cosine function).

Q5: What if I get negative work?
A: Negative work occurs when force opposes motion (θ > 90°), meaning energy is being removed.