Question

Show that the value of $g$decreases as we go to higher altitudes above the surface of the earth. Mention one practical application of this property of $g$

Answer 1

1. Acceleration due to the gravity of the earth is given by the formula
   $$\begin{gathered} g=G\frac{M}{R^2} \\ where, \\ g\to accelerationduetogravity \\ G\to Universalgravitationalcons\tan t \\ M\to Massoftheearth \\ R\to Dis\tan cefromthecentreoftheearth \end{gathered}$$
   
2. Observing the above formula we can say that the value of $g$ decreases with an increase in height of an object and the value of $g$ becomes zero at infinite distance from the earth.
3. Thus, the value of $g$ decreases with the increase in height.
4. This property of $g$helps us in the launching of rockets and the motion of the satellites.

Thus, the value of $g$ decreases with the increase in height.