1. What is Work Done by Gravitational Force?

Definition: This calculator computes the work done by gravitational force when an object changes its height.

Purpose: It helps physics students and professionals understand energy changes in gravitational systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( W_g \) — Work done by gravity (Joules, J)
• \( m \) — Mass of the object (kg)
• \( g \) — Acceleration due to gravity (m/s²)
• \( \Delta h \) — Change in height (m)

Explanation: The negative sign indicates that gravity does positive work when an object falls (Δh negative) and negative work when lifted (Δh positive).

3. Importance of Gravitational Work Calculation

Details: Understanding this work is crucial for energy conservation calculations, mechanical systems analysis, and potential energy determinations.

4. Using the Calculator

Tips: Enter the mass in kg, gravitational acceleration (default 9.81 m/s² on Earth), and height change (positive for upward, negative for downward).

5. Frequently Asked Questions (FAQ)

Q1: Why is there a negative sign in the formula?
A: The negative sign indicates that gravity does positive work when objects fall (energy is released) and negative work when lifted (energy is required).

Q2: What value should I use for gravity?
A: Use 9.81 m/s² for Earth's surface. For other planets, use their specific gravitational acceleration.

Q3: How does height change affect the result?
A: Positive Δh (lifting) gives negative work (energy input needed). Negative Δh (falling) gives positive work (energy released).

Q4: What units should I use?
A: Use kg for mass, m/s² for gravity, and meters for height to get Joules (J) for work.

Q5: How does this relate to potential energy?
A: The work done equals the negative change in gravitational potential energy (ΔU = -W_g).