Question

Find the acceleration due to Earth’s gravity at the distance of the Moon, which is on average 3.84 × 10^8 m from the center of Earth.

Answer 1

`a = 2.7 * 10^(-3) m/s^2`

Step-by-step explanation:

As we know that acceleration due to gravity is given as

`a = (GM)/(r^2)`

here we know that

`M = 5.97 * 10^(24) kg` (mass of earth)

r = distance at which acceleration is to be find out

`r = 3.84 * 10^8 m`

now from the formula of acceleration due to gravity we know

`a = ((6.67 * 10^(-11))(5.97 * 10^(24)))/((3.84 * 10^8)^2)`

`a = 2.7 * 10^(-3) m/s^2`