Acceleration due to gravity at height

Acceleration due to gravity at height(Altitude)

 1)with Altitude: Consider a body of mass m on the surface of the Earth. The acceleration due to gravity on the Earth’s surface is given by,

When the body is at height h above the surface of the Earth as shown in Fig acceleration due to gravity changes to

For small heights (h≪r), we can approximate using a binomial expansion:

This expression can be used to calculate the value of g at height h above the surface of the Earth as long as h << R

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