Question

taking the mass of earth as 6.4×10^24m calculate value of acceleration due to gravity at a height of 2000 km above ​

Answer 1

Correct Question:

Taking the mass of earth as 6.4×10²⁴m, Calculate the value of acceleration due to gravity at a height of 2000 km above the surface of Earth?

Given:

☞ $Mass\:of\:earth = 6.4 × 10^{24}m$

☞ $Height\:from\:the\:surface\:of\:earth = 2000 km$

To Find:

The acceleration due to gravity at a height of 2000km.

Identity Used:

➜ $g = \dfrac{Gm}{r^{2}}$

Where,

↝ g = acceleration due to gravity;

↝G = Universal Gravitational Constant

↝r = distance

Calculation:

$g = \dfrac{6.67 × 10^{-11} × 6.4 × 10^{24}}{2000^{2}}$

☞ $g = \dfrac{6.67 × 6.4 × 10^{13}}{4 × 10^{6}}$

☞$g = \dfrac{6.67 × 1.6 × 10^{13}}{10^{6}}$

☞$g = 6.67 × 1.6 × 10^{7}$