Question

Calculate the force of gravitation between two objects of masses 80 kg and 1200 kg kept at a distance of 10 metre from each other.​

Answer 1

Given :

• Masses are 80 kg and 1200 kg

• Distance of seperation between them is 10 m

To find :

• The force of Gravitation between the two objects

Solution :

using the formulae ,

${\boxed {\rm{ F = \dfrac{Gm_1m_2 }{ {r}^{2} } }}}$

Where ,

• F is force exerted
• G is Gravitational constant ( = 6.67 × 10⁻¹¹ Nm² /kg² )
• m₁ is the mass of the body
• m₂ is the mass of another body
• r is distance between them

We have ,

• G = 6.67 × 10⁻¹¹ Nm²/kg²
• m₁ = 80 kg
• m₂ = 1200 kg
• r = 10 m

Substituting the values in the formulae ,

$: \implies \rm \:F = \dfrac{6.67 \times {10}^{ - 11} \times 80 \times 1200 }{(10) {}^{2} } \\ \\ : \implies \rm \:F = \frac{6.67 \times {10}^{ - 11} \times 96000}{100} \\ \\ : \implies \rm \: F = \frac{ 6.67 \times {10}^{ - 11} \times 960 \cancel{00} }{1 \cancel{00}} \\ \\ : \implies \rm \: F = 6.4 \times {10}^{ - 8} \: N$

∴ The Force of gravitation between two objects of masses 80 kg and 1200 kg kept at a distance of 10 metre from each other is 6.4 × 10⁻⁸ N