- #1
RoughRoad
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Homework Statement
At what height will the acceleration due to gravity will fall to 25% that of the Earth's surface?
Homework Equations
g= GM/R^2
RoughRoad said:Homework Equations
g= GM/R^2
RoughRoad said:The Attempt at a Solution
The formula for calculating 25% of gravity at a certain height is: F = (0.25 x G) x (1 - h/R)^2, where F is the force of gravity at the given height, G is the acceleration due to gravity (9.8 m/s^2), h is the height, and R is the radius of the Earth.
To determine the force of gravity at a height, you will need to plug in the values of G, h, and R into the formula and solve for F. This will give you the force of gravity at the given height in newtons (N).
Yes, the formula can be modified to calculate other percentages of gravity at a height. Simply replace the 0.25 with the desired percentage in decimal form (e.g. 50% would be 0.5).
Yes, the force of gravity decreases as you move further away from the Earth's surface. This is because the distance between two objects affects the strength of the gravitational force between them.
Yes, there are other factors that may affect the accuracy of the calculated force of gravity at a height. These include variations in the Earth's gravitational field due to changes in the Earth's shape and density, as well as the effects of air resistance and other external forces.