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A force of 500 N separates two objects. The distance between their centers is 67 m. The first object has a mass of 20 kg. What is the mass of the second object?

Answer :

Gravitational force is an attractive force that exists between all objects with mass . an object with mass attracts another object with mass.

Mass of second object is [tex]1.6825*10^{15}[/tex] kg

If two bodies have mass m₁ and m₂ . Then attractive force between them is calculated by formula show below,

[tex]F=G\frac{m1m2}{r^{2} }[/tex]

Where r is distance between bodies. and G is gravitational constant.

G = [tex]6.67*10^{-11}[/tex] [tex]Nm^{2}/kg^{2}[/tex]

Here, F = 500N, m₁=20 kg and r= 67 m

Substituting above values in force equation.

[tex]500=\frac{6.67*10^{-11}*20*m2 }{(67)^{2} } \\\\m2=1.6825*10^{15} Kg[/tex]

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Rewritten by : Barada

Answer:

The Equation of Newton's Law of Gravity. G is called the Gravitational Constant, and has the value 6.67×10-11 N ∙m2kg-2 (N is for Newton, the physicists' unit of force)or 1.5×10-11 lb∙m2kg-2

Explanation: