Respuesta :
The mass of each marble is 0.100 grams if the gravitational force between two marbles that are 50 cm apart is 2.67×10⁻¹⁴ N
What is gravitational force?
All mass-bearing objects are attracted by the gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
As we know, the gravitational force is given by:
[tex]\rm F = \dfrac{Gm_1m_2}{r^2}[/tex]
Where G is the gravitational constant.
m₁ and m₂ are masses.
r is the distance between the masses.
We have:
r = 50 cm = 0.5 m
F = 2.67×10⁻¹⁴ N
Assume, m₁ = m₂ = m
G = 6.674×10⁻¹¹m³kg⁻¹s⁻²
[tex]\rm 2.67\times10^{-14} = \dfrac{6.674\times10^{-11}m}{0.5^2}[/tex]
[tex]\rm m=0.00010[/tex]
m = 0.100 grams
Thus, the mass of each marble is 0.100 grams if the gravitational force between two marbles that are 50 cm apart is 2.67×10⁻¹⁴ N
Learn more about the gravitational force here:
brainly.com/question/12528243
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