Calculating Mass from Weight and Distance

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To calculate mass when given weight and distance at high altitudes, one cannot use the standard acceleration due to gravity of 9.8 m/s². Instead, Newton's law of universal gravitation should be applied, which states that gravitational force is proportional to the product of the masses and inversely proportional to the square of the distance between their centers. The formula Fg = Gm1m2/r² can be used to determine the gravitational force at such heights. To find the appropriate acceleration, the gravitational constant (G) and the distance from the center of the Earth must be considered. Understanding these principles is crucial for solving problems involving mass at extreme distances from Earth's surface.
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Homework Statement



How can I find mass when weight and distance is given.(Note I can't use 9.8m/s^2 as my acceleration of gravity because the question is dealing distances that are extremely high from Earth's surface.And also how can i find the right acceleration at such heights?

Homework Equations



F=ma

The Attempt at a Solution


am stuck cos I know i can't use 9.8m/s^2.
 
Physics news on Phys.org
Have you come across Newton's theory of gravitation?
F_{g} = \frac{Gm_{1}m_{2}}{r^2}
 
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