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

Answer 1

Answer:

$F = 3.82 * 10^4N$

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;

$F = \frac{Gm_1m_2}{r^2}$

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;

$F = \frac{Gm_1m_2}{r^2}$ becomes

$F = \frac{6.67408 * 10^{-11} * 5.3 * 10^{12}*3.5 * 10^8}{1800^2}$

$F = \frac{6.67408 * 5.3 * 3.5 * 10^{-11} * 10^{12} * 10^8}{1800^2}$

$F = \frac{123.804184 * 10^{9}}{3240000}$

$F = \frac{123804184000}{3240000}$

$F = 38211.1679012$

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

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