Answer :
According to the statement of two extremely small, identical spheres Each spherical mass 1.19×10⁹.
How do you define mass?
A numerical representation of the fundamental characteristic of all matter, inertia. In essence, it's the resistance of a mass of matter to changing its direction or speed in reaction to the application of a force. The change caused by an applied force is smaller the more mass a body has.
What is the mass of an object?
A property of materials used to measure how resistant it is to acceleration in physics. An object's mass can be thought of as a rough indicator of its atomic composition. The kilogram serves as the fundamental unit of mass measurement. Mass multiplied by gravity's acceleration equals weight.
According to the given data:
F = 2.0 nN = 2.0 × 10⁻⁹ N
d = 20cm = 0.20m
Let the mass of each sphere be m.
From Newton's Law of Gravitation:
The two spheres' interaction force is determined by:
F = (G × m × m)/d²
we know the values in the above relation:
2.0 × 10⁻⁹ = [tex]\frac{6.67 \times 10^{-11} \times m^2}{0.20^2}[/tex]
m² = [tex]\frac{2 \times 10^{-9} \times(0.20)^2}{6.67 \times 10^{-11}}[/tex]
m = [tex]\sqrt{\frac{2 \times 10^{-9} \times(0.20)^2}{6.67 \times 10^{-11}}}[/tex]
= 80000000/6.67
m= 1.19×10⁹
According to the statement of two extremely small, identical spheres Each spherical mass 1.19×10⁹.
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