Question

Prive that SI unit of G is newton meter squre per kg squre

Answer 1

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→ F = Gm1m2 / r^2

→ F * r^2 / m1m2 = G

→ G = N * m ^2 / kg^2

➠ So, G = N * m^2 / kg2 ( the unit of G is newton meter square per kilogram square ) .

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Answer 2

Answer:

Newton's law of Universal Gravitation says that  ``Every particle in the universe attracts every other with a  force which is proportional to the product of their masses and inversely proportional to the square of their separation.''

Thus;    F = G M1M2    ------------(1)

                        R^2

Having in mind that the S.I unit of F = Newton(N) , R = distance of separation between masses(m) , M = mass of particle/object(Kg)

Then by cross multiplying and making G the subject of the formula in Equation ---(1) we get;

G = F.R^2  ---------(2)

     M1M2

By using their base units, we obtain;

G = N.m^2   ---------(3)

       Kg^2

Rewriting equation (3) properly yields; G = Nm^2 Kg^-2 ....hence it's S.I unit

Hope it Helped You!

Explanation: