The acceleration due to gravity on earth
and the question is....?
The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s²). This means that every second, objects in freefall near the Earth's surface accelerate at a rate of 9.8 m/s².
To calculate the acceleration due to gravity on Earth, you can follow these steps using Newton's law of universal gravitation:
1. Identify the mass of the Earth (M) and its radius (R). The mass of the Earth is approximately 5.97 × 10^24 kilograms (kg), and its radius is approximately 6,371 kilometers (km) or 6.371 × 10^6 meters (m).
2. square the radius of the Earth (R²).
3. Use the universal gravitational constant (G), which is approximately 6.67 × 10^-11 square meters per kilogram per second squared (m³/kg/s²).
4. Divide the product of G and M by the squared radius (G * M / R²).
Putting all the values into the equation, we get:
Acceleration due to gravity on Earth (g) = (G * M) / R²
g = (6.67 × 10^-11 m³/kg/s² * 5.97 × 10^24 kg) / (6.371 × 10^6 m)²
After evaluating the equation, you will find that the acceleration due to gravity on Earth is approximately 9.8 m/s².