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

0.0099 m/s/s or m/s^2

Step-by-step explanation:

Work with the formula first and work out where each component is supposed to go.

GM

G = --------

r^2

Then you want to plug in:

(6.67 ⋅ 10^-11) (3.0 ⋅ 10^23 kg)

------------------------------------------

(4.5 ⋅ 10^7)^2

The Solve to get an answer of:

0.0099 m/s/s

Answer 2

`g=0.0099\ m/s^2`

Step-by-step explanation:

Given that,

Mass of the object,
`m=3* 10^(23)\ kg`

Distance,
`r=4.5* 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=(GM)/(r^2)`

G is Universal Gravitational Constant

Substitute all the values in the above formula.

`g=(6.67* 10^(-11)* 3* 10^(23))/((4.5* 10^7)^2)\\\\=0.0099\ m/s^2`

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