1. What is Work in Physics?

In physics, work is the energy transferred to or from an object via the application of force along a displacement. The basic formula is W = F × d × cos(θ), where W is work, F is force, d is displacement, and θ is the angle between the force and displacement vectors.

2. How Does the Calculator Work?

The calculator uses the work equation:

Where:

• \( W \) — Work done (Joules)
• \( F \) — Force applied (Newtons)
• \( d \) — Displacement (meters)
• \( \theta \) — Angle between force and displacement vectors (degrees)

Explanation: Work is only done when a force causes displacement. The cosine term accounts for the direction of the force relative to the displacement.

3. Importance of Work Calculation

Details: Calculating work is fundamental in physics and engineering for understanding energy transfer, mechanical systems, and efficiency of machines.

4. Using the Calculator

Tips: Enter force in Newtons, distance in meters, and angle in degrees. All values must be valid (force > 0, distance > 0, angle between 0-180 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the unit of work?
A: The SI unit of work is the Joule (J), which equals one Newton-meter (N·m).

Q2: When is work zero?
A: Work is zero when either force is zero, displacement is zero, or the angle is 90° (cos(90°) = 0).

Q3: What's the difference between work and power?
A: Work is energy transfer, while power is the rate at which work is done (P = W/t).

Q4: Can work be negative?
A: Yes, when the force component is opposite to displacement (90° < θ ≤ 180°).

Q5: How does this relate to kinetic energy?
A: The work-energy theorem states that net work equals change in kinetic energy.