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Acceleration Of Gravity Formula

Standard Gravity Value:

\[ g = 9.81 \, \text{m/s}^2 \]

kg
m/s²

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1. What Is Acceleration Of Gravity?

The acceleration of gravity (g) is the acceleration experienced by objects due to Earth's gravitational pull. The standard value is 9.81 m/s², meaning objects in free fall increase their velocity by 9.81 meters per second every second.

2. How Does The Calculator Work?

The calculator uses Newton's second law formula:

\[ F = m \times g \]

Where:

Explanation: This formula calculates the gravitational force (weight) acting on an object based on its mass and the local gravitational acceleration.

3. Importance Of Gravity Calculation

Details: Understanding gravitational acceleration is fundamental in physics, engineering, and everyday applications. It's essential for calculating weight, designing structures, understanding planetary motion, and space exploration.

4. Using The Calculator

Tips: Enter mass in kilograms and gravitational acceleration in m/s². The standard Earth gravity is 9.81 m/s², but you can input different values for other planets or locations.

5. Frequently Asked Questions (FAQ)

Q1: Why is g = 9.81 m/s² on Earth?
A: This value represents the average gravitational acceleration at Earth's surface, derived from the universal law of gravitation and Earth's mass and radius.

Q2: Does gravity vary on Earth?
A: Yes, gravity varies slightly due to altitude, latitude, and geological formations, ranging from about 9.76 to 9.83 m/s².

Q3: What is g on other planets?
A: Moon: 1.62 m/s², Mars: 3.71 m/s², Jupiter: 24.79 m/s². Each planet has different gravitational acceleration based on its mass and radius.

Q4: What's the difference between mass and weight?
A: Mass is the amount of matter (constant everywhere), while weight is the force of gravity on that mass (varies with location).

Q5: How was g first measured?
A: Galileo Galilei conducted early experiments with falling objects, but precise measurements came later with pendulums and free-fall experiments.

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