(2)
If the force of gravitation between the Earth and
an object of mass 'm' is 9 x 10^7 N, find the mass m
of an object if the mass of the Earth is 6 x 10^24 kg
and its radius is 6.4 x 10^6 m.
(Ans: 9.2 x 106 kg)
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Given:
Force(F)=9*10^7N
Mass of Earth(M)=6*10^24kg
Radius of Earth(R)=6.4*10^6m
Universal Gravitational Constant(G)=6.67*10^-11Nm^2/kg^2
To Find:
Mass of Object(m)
By Newton's Universal Law of Gravitation,
F=GMm/R^2
9*10^7=(6.67*10^-11)(6*10^24)m/(6.4*10^6)^2
m=(9*10^7)(6.4*10^6)^2/(6.67*10^-11)(6*10^24)
By solving further (pls find calculation in the attachment),
m≈9.2*10^6kg
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Answer:
The answer is 9.2×10^6 kg
Explanation:
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