Question

Compute g at a distance of 4.5 x 10^7m from the center of a spherical object whose mass is 3.0 x 10^23 kg

Answer 1

Answer:

$g=0.0099\ m/s^2$

Explanation:

Given that,

Mass of the object, $m=3\times 10^{23}\ kg$

Distance, $r=4.5\times 10^7\ m$

We need to compute the value g from the center of the object to the distance r.

The formula to calculate g is given by :

$g=\dfrac{GM}{r^2}$

G is Universal Gravitational Constant

Substitute all the values in the above formula.

$g=\dfrac{6.67\times 10^{-11}\times 3\times 10^{23}}{(4.5\times 10^7)^2}\\\\=0.0099\ m/s^2$

So, the required value of g is $0.0099\ m/s^2$.