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Atoms And Molecules

Question
CBSEENSC9006089

Determine the units of G in SI system of measurement.

Solution

According to Newton's law of gravitation,
Gravitational force is given by, 
space space space space space space space space straight F space equals space straight G fraction numerator straight m subscript 1 straight m subscript 2 over denominator straight r squared end fraction space space
rightwards double arrow space space space straight G equals space fraction numerator F r squared over denominator straight m subscript 1 straight m subscript 2 end fraction 
In SI system, force F is measured in Newton; distance r in metres and masses m1 and m2 in kilo gram.
Therefore,
SI unit of  straight G space equals space fraction numerator N m squared over denominator k g. space k g end fraction space equals N m squared space k g to the power of negative 2 end exponent.