Question

derive the si unit of universal gravitational constant​

Answer 1

Answer:

In SI units, G has the value 6.67 × 10-11 Newtons kg-2 m2. The acceleration g=F/m1 due to gravity on the Earth can be calculated by substituting the mass and radii of the Earth into the above equation and hence g= 9.81 m s-2.

Explanation:

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Answer 2

Answer:

From Newton's universal law of gravitation,

F=(G×m1×m2)/d2

where F = gravitational force

G = universal gravitational constant

m1 = mass of the first object

m2 = mass of the second object

d = distance between the objects

Hence, universal gravitational constant, G=(F×d2)/(m1×m2)

Unit of F = newton (N)

Unit of d = metre (m)

Unit of m1 = Unit of m2 = kilogram (kg)

Hence, unit of G = Nm2/kg2 (newton metre squared per kilogram squared).