Question

give mathematical expression for universal gravitational constant​

Answer 1

Answer:

The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In equation form, this is F=GmMr2 F = G mM r 2 , where F is the magnitude of the gravitational force. G is the gravitational constant, given by G = 6.673 × 10−11 N·m2/kg2.

Explanation:

Answer 2

Answer:

The expression for universal gravitational constant can be derived from the universal law of gravitation.

Explanation:

By the universal law of gravitation, the force of attraction, F between two different objects of masses m₁ and m₂ separated by a distance d is:

• proportional to the product of their masses, F ∝ m₁m₂
• inversely proportional to the square of the distance between them,           F ∝ 1/d².

∴ F ∝ m₁m₂ / d²

F = G m₁m₂ / d²

Where G is the universal gravitational constant. From this the gravitational constant can be found as:

G = F d² / m₁m₂

The unit of gravitational constant is Nm²/Kg².

Its value is found to be 6.673 × 10⁻¹¹ Nm²/Kg²