Question

show that,in SI unites,the unit of G is n/m^2kg^-2

Answer 1

since gravitational force ,F= G Mm/r²

here,

G=F r²/Mm

writing in the S.I system,

since unit of force is newton{n}

unit of distance is meter {m}

unit of mass is kilogram{kg}

so , the unit of G is= newton×metre²/kilogram²

                             = nm²/kg²

Answer 2

Unit of G-

G=Fd^2/mass(1object) *mass(2object)

Therefore, G=Nm^2kg^-2

Or

G=Nm^2/Kg^2

HOPE IT HELPED....!