Question

(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)​

Answer 1

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 2

Answer:

The answer is 9.2×10^6 kg

Explanation: