Question

As you walked on the moon, the earth’s gravity would still pull on you weakly and you would still have an earth weight. How large would that earth weight be, compared to your earth weight on the earth’s surface? (Note: The earth’s radius is 6378 km and the distance separating the centers of the earth and moon is 384400 kilometers.)

Answer 1

Answer:

$g_2 =2\times 10^{-4}g$      

Explanation:

given,

radius of earth = 6378 km

distance separating the center of the earth and moon =  384400 km

we know acceleration due to gravity

$g = \dfrac{Gm}{r^2}$            

$g_2 = g\dfrac{r^2}{R^2}$                

$g_2 = g\dfrac{6378^2}{384400^2}$              

$g_2 =2\times 10^{-4}g$      

hence, the weight of earth compared to the your weight on earths surface is equal to 2 × 10⁻⁴ g.