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Leviafan [203]
4 years ago
6

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

Computers and Technology
1 answer:
SIZIF [17.4K]4 years ago
4 0

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

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