Question

How far apart must 2 objects (each with a mass of 8kg) be to generate a graviational force between them of 99N?

Answer 1

The distance between the two objects must be $6.57\cdot 10^{-6} m$

Explanation:

Using the GUESS method:

G: The given information are

$m_1 = m_2 = 8 kg$ is the mass of the two objects

F = 99 N is the gravitational force between the two objects

U: The unknown information is:

r = ? the distance between the two objects

E: equation

The equation to use is the equation that gives the gravitational force between two objects:

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

where

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

S: Substitution

We now re-arrange the equation and substitute the given values to find r:

$r=\sqrt{\frac{Gm_1m_2}{F}}=\sqrt{\frac{(6.67\cdot 10^{-11})(8)(8)}{99}}$

S: solving

By plugging the values into the calculator, we get

$r=6.57\cdot 10^{-6} m$

Learn more about gravitational force:

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