A 38,500 kg sphere is located 2.55 m from a 15,400 kg sphere. What is the gravitational force, rounded to the nearest thousandth

Question

4 years ago

6

of a Newton, between the two spheres?

1 answer:

kkurt [141] · Answer 1 · 2022-01-17T08:47:28+03:00

The gravitational force between the two spheres is 0.006 N

Explanation:

The magnitude of the gravitational force between two objects is given by

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

where

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

$m_1, m_2$ are the masses of the two objects

r is the separation between them

For the two spheres in this problem, we have

$m_1 = 38,500 kg$

$m_2 = 15,400 kg$

r = 2.55 m

Substittuting into the equation, we find

$F=(6.67\cdot 10^{-11})\frac{(38,500)(15,400)}{2.55^2}=0.006 N$

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