At what distance above the surface of the earth is the acceleration due to the earth's gravity 0

step 1 We know that when we're on the surface of the Earth, a distance, R or E, the radius of the Earth

At what distance above the surface of the earth is the...

Key Concepts

Gravitational Acceleration Variation with Distance

Gravitational acceleration is not constant and diminishes with increasing distance from the center of mass. By comparing known accelerations at different distances (such as at the Earth's surface and at altitude), one can calculate the altitude where the gravitational acceleration reaches a specific value using the relationship g ? 1/(r^2).

Application of Earth's Radius

Understanding and utilizing the Earth's radius is essential when calculating changes in gravitational acceleration with altitude. The radius serves as a baseline for determining the distance from the Earth's center to a point above the surface, allowing the use of the inverse square law to find the altitude corresponding to a particular gravitational acceleration.

Newton's Law of Universal Gravitation

This law describes the attraction between two masses and establishes that the gravitational force, and hence the acceleration due to gravity, is proportional to the product of the masses and inversely proportional to the square of the distance between their centers. It is the fundamental principle behind calculations of gravitational acceleration at various distances from a mass like the Earth.

Inverse Square Law

The inverse square law states that the gravitational force (and acceleration) decreases as the square of the distance from the center of the mass increases. This concept is crucial when determining how gravity changes with altitude, as even a modest increase in distance can lead to a significant decrease in gravitational acceleration.

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