Question

A5.3 1012 kg satellite is 1,800 m from another satellite that has a mass of 3.5 x 108 kg. What is the gravitational

force between the satellites?
3.82 x 104N
6.87 x 107 N
5.72 x 1014 N
0 1.03 x 1018 N​

Answer 1

A) 3.82 × 10^4 N

Step-by-step explanation:

A 5.3 × 1012 kg satellite is 1,800 m from another satellite that has a mass of 3.5 × 108 kg. What is the gravitational force between the satellites?

A) 3.82 × 10^4 N

B) 6.87 × 10^7 N

C) 5.72 × 10^14 N

D) 1.03 × 10^18 N

Answer 2

`F = 3.82 * 10^4N`

Step-by-step explanation:

Given

Mass of satellite 1 = 5.3 * 10¹²kg

Mass of satellite 2 = 3.5 * 10⁸kg

Distance between them = 1,800 m

Required

Gravitational Force between them.

The gravitational force between them is calculated as thus;

`F = (Gm_1m_2)/(r^2)`

Where G = Gravitational Constant

`G = 6.67408 * 10^(-11) Nm^2/kg^2`

`m_1 = 5.3 * 10^(12)kg`

`m_2 = 3.5 * 10^8kg`

`r = 1800m`

Substituting these values in the above formula;

`F = (Gm_1m_2)/(r^2)` becomes

`F = (6.67408 * 10^(-11) * 5.3 * 10^(12)*3.5 * 10^8)/(1800^2)`

`F = (6.67408 * 5.3 * 3.5 * 10^(-11) * 10^(12) * 10^8)/(1800^2)`

`F = (123.804184 * 10^(9))/(3240000)`

`F = (123804184000)/(3240000)`

`F = 38211.1679012`

`F = 3.82 * 10^4N` ---- Approximated

Hence the gravitational force between them is
`3.82 * 10^4N`