two objects attract each other with a gravitational force of magnitude 1.01 10-8 n when separated by 20.1 cm. if the total mass of the two objects is 5.03 kg, what is the mass of each?



Answer :

Mass of to object is 3 kg and 2 kg.

What is Gravitational force?

In mechanics, gravity, often known as gravitation, is the universal force of attraction that acts between all matter. It is by far the weakest known natural force and so has no effect on the internal properties of ordinary stuff. Due to its long reach and ubiquitous action, it influences the trajectories of bodies in the solar system and elsewhere in the universe, as well as the architecture and evolution of stars, galaxies, and the entire cosmos. The weight, or downward force of gravity, exerted by the Earth's mass on all bodies on Earth is proportional to their mass. The acceleration that freely falling objects experience is used to calculate gravity.

F =G(m1m2/r2)

m1m2 = [(1.00 X 10-8N)(20*10-2m)2]

/[6.67*10-11Nm2/kg2]

Now

m1-m2 =[(m1+m2)2-4m1m2] =[(5kg)2-4(6kg2)] =(1kg2) = 1kg 2m1 =

(m1+m2)+(m1-m2) = 5kg + 1kg =6kg

m1 = 3kg, m2 = 5kg,

and

m2 = 5kg - 3kg = 2kg

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