Question

Find the unit and dimensional formula of universal gravitational constant

Answer 1

For Dimensional Formula

G=Fxr²/m1xm2

G=gravitational force

F=gravitional force

R²=distance between two heavenly bodies like planet or star between which force have to find out.

M1 and m2- mass of first and second object respectively.

Dimension of force =M x a =MLT-²

Product of m1xm2=M²

Dimension of r²= L²

Therefore G=Fxr²/m1xm2 =MLT-² x L² /M².

= M¹xM-² x L¹xL²xT-²

=M-¹L³T-².

Therefore dimensional formula =M-¹L³T-².


For Unit.

Nm2/kg2Nm2/kg2 (newton metre squared per kilogram squared)

From Newton's law of universal gravitation,

F=(G×m1×m2)/d2F=(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×d^2)/(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/kg2Nm2/kg2 (newton metre squared per kilogram squared).

Answer 2

Answer:

Unit of universal gravitational constant is Nm²/kg²

Explanation:

hope this helps u.................