1. What is Gravitational Force?

Definition: Gravitational force is the force of attraction between any two masses, most commonly observed as the force that gives weight to objects near Earth's surface.

Purpose: This calculator determines the gravitational force acting on an object based on its mass and the local gravitational acceleration.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Gravitational force (Newtons, N)
• \( m \) — Mass of the object (kilograms, kg)
• \( g \) — Gravitational acceleration (meters per second squared, m/s²)

Explanation: The force is calculated by multiplying the object's mass by the gravitational acceleration at that location.

3. Importance of Gravitational Force Calculation

Details: Understanding gravitational force is essential in physics, engineering, and everyday applications like determining weight, structural loads, and spacecraft trajectories.

4. Using the Calculator

Tips: Enter the object's mass in kilograms and gravitational acceleration (default 9.81 m/s² for Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is standard gravitational acceleration on Earth?
A: The standard value is approximately 9.81 m/s², though it varies slightly by location (9.78-9.83 m/s²).

Q2: How would this change on other planets?
A: Use different g values (e.g., 1.62 m/s² for the Moon, 3.71 m/s² for Mars).

Q3: Is this the same as weight?
A: Yes, weight is the gravitational force acting on an object's mass.

Q4: What if I know the weight but not the mass?
A: Use our Mass from Weight calculator or rearrange the formula: m = F/g.

Q5: Why is g sometimes rounded to 10 m/s²?
A: For simplification in some calculations, though this introduces about 2% error.