1. What is the Work Done by a Force?

Definition: Work is the energy transferred when a force moves an object through a distance.

Purpose: This calculation helps in physics and engineering to determine energy requirements for moving objects.

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 maximized when force and displacement are in the same direction (θ=0°). No work is done when force is perpendicular to displacement (θ=90°).

3. Importance of Work Calculation

Details: Understanding work helps in designing mechanical systems, calculating energy requirements, and analyzing efficiency.

4. Using the Calculator

Tips: Enter the force in Newtons, distance in meters, and angle in degrees (0° for parallel forces, 90° for perpendicular).

5. Frequently Asked Questions (FAQ)

Q1: What if the angle is 0 degrees?
A: At 0°, cos(0)=1, so work is simply force × distance (maximum work).

Q2: What if the angle is 90 degrees?
A: At 90°, cos(90)=0, so no work is done despite applying force.

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

Q4: How does this relate to energy?
A: Work done equals energy transferred. 1 Joule = 1 Newton-meter.

Q5: Can work be negative?
A: Yes, when force opposes motion (90° < θ ≤ 180°), work is negative (energy is removed).