Find gravitational force between two object of mass 1kg and 5kg which are kept at a distance of half metre
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Answer:
- Gravitational force between the two objects will be 13.4 × 10⁻¹⁰ Newton
Explanation:
given,
- mass of two objects 1 kg and 5 kg , let m₁ = 1 kg and m₂ = 5 kg
- distance between two objects, d = 1/2 m
We need to find,
- Gravitational force between the two objects, F = ?
so,
Using formula
- F = G m₁ m₂ / d²
[ where F is the gravitational force between two objects of masses m₁ and m₂ ; d is the distance between the two objects ; G is the universal gravitational constant ]
(taking value of G as 6.7 × 10⁻¹¹ N kg⁻² m² )
→ F = (6.7 × 10⁻¹¹) ( 1 ) ( 5 ) / ( 1/2 )²
→ F = (6.7 × 5 × 10⁻¹¹ / ( 1 / 4 )
→ F = 6.7 × 5 × 4 × 10⁻¹¹
→ F = 134 × 10⁻¹¹
→ F = 13.4 × 10⁻¹⁰ Newton
Therefore,
- Gravitational force between the two objects will be 13.4 × 10⁻¹⁰ Newton .
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