Respuesta :
The gravitational acceleration on the top of Mount Everest is 9.773 m/s^2.
What is gravitational acceleration?
Gravitational acceleration (symbolized g) is an expression used in physics to indicate the intensity of a gravitational field. It is expressed in meters per second squared. At the surface of the earth, 1 g is about 9.8 meter per squared second.
So, as mentioned in question g at surface of the earth is 9.81.
and the height of the Mount Everest is 8848 m.
Let, g' be the acceleration due to gravity on the top of Mount Everest.
By the equation,
[tex]g' = g(1-\frac{2h}{h})[/tex]
[tex]g' = 9.8(1-\frac{17696}{6500000})[/tex]
[tex]g' = 9.8(1-0.00276)[/tex]
[tex]g' = 9.8(0.99724)[/tex]
[tex]g' = 9.773[/tex]
Therefore, the gravitational acceleration at the top of the Mount Everest is [tex]9.773 \frac{m}{s^2}[/tex] (9.773 meter per squared second).
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