if the mass of two bodies are 20 kg and 50 kg respectively if the distance between them is 10 metre calculate attraction force between them
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Given :
- Mass of two bodies ; m₁ = 20 kg and m₂ = 50 kg
- distance between two bodies, d = 10 m
To find :
- Attraction force between given two bodies = gravitational force between the bodies, F = ?
Knowledge required :
- Every body in the universe exert an attraction force on every other body in the universe, this force is known as Gravitational force between the bodies.
- Formula to calculate Gravitational force (F) between two bodies of masses m₁ and m₂ , where d is the distance between the two bodies and G is universal gravitational constant
F = G m₁ m₂ / d²
Solution :
- Taking value of G = 6.67 × 10⁻¹¹ N m² / kg²
Using formula for calculating Gravitational force b/w two bodies
→ F = G m₁ m₂ / d²
→ F = (6.67 × 10⁻¹¹ ) ( 20 ) ( 50 ) / ( 10 )²
→ F = 6670 × 10⁻¹¹ / 10²
→ F = 6670 × 10⁻¹³ N
→ F = 6.67 × 10¹⁰ N
therefore,
- the attraction force ( or gravitational force ) between the two given bodies is 6.67 × 10⁻¹⁰ Newton.
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