Question

Calculate the magnitude of the gravitational force between buildings X and Y Building X has a mass of
exactly 8 x 10^6 kg Building Y has a mass of exactly 6 x 10^7 kg. Their centers are located exactly 2,000 m
apart
Formula is f=gm1m2/d^2

Answer 1

The gravitational force between the buildings is 0.008 N

Explanation:

The magnitude of the gravitational force between two objects is given by  Newton's Universal Law of Gravitation:

$F=G\frac{m_1 m_2}{r^2}$

where

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between them

In this problem, we have:

$m_1 = 8\cdot 10^6 kg$ (mass of building 1)

$m_2 = 6\cdot 10^7 kg$ (mass of building 2)

r = 2000 m (distance between the buildings)

Therefore, the gravitational force between the two buildings is

$F=(6.67\cdot 10^{-11})\frac{(8\cdot 10^6)(6\cdot 10^7)}{(2000)^2}=0.008 N$

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