Question

If the magnitude of Gravitational force between two bodies of masses 30kg and 20Kg in 6 times 10^(-2)N .Then find the distance between two bodies.

Answer 1

Answer:

Distance between two bodies is

0.8 × 10⁻³ m .

Explanation:

masses of two bodies are

m₁ = 30 kg

m₂ = 20 kg

gravitational force between them ,

F = 6×10⁻² N

We know the value of universal gravitational constant

 G = 6.67 × 10⁻¹¹ N m² kg⁻²

We need to find the distance between two bodies

Let , distance b/w two bodies be d

Using formula for Gravitational force

F = G m₁ m₂ / d²

(where F is the magnitude of gravitational force b/w two bodies of masses m₁ and m₂ , G is universal gravitational constant and d is the distance between two bodies)

Putting Values in the formula

→ F = G m₁ m₂ / d²

→ 6 × 10⁻² = 6.67 × 10⁻¹¹ × 30 × 20 / d²

→ 6 × 10⁻² = 6.67 × 10⁻¹¹ × 600 / d²

→ 10⁻² / 10⁻¹¹ = 6.67 × 600 / (d² × 6 )

→ 10⁹ = 667 / d²

→ d² = 667 / 10⁹

→ d = 0.8 × 10⁻³  m  (approx).

Therefore,

Distance between two bodies is 0.8 × 10⁻³ metres.