Question

Calculate the gravitational force of attraction between two bodies of masses 30 kg and 60 kg separated by a distance 15 m. Take G = 6.7 × 10-¹¹ N m² / kg²​

Answer 1

Given:-

→Mass of the 1st body = 30kg

→Mass of the 2nd body = 60kg

→Distance of separation between

the bodies = 15m

→Universal Gravitational Constant(G)

= 6.7×10⁻¹¹ Nm²/kg²

To find:-

→Gravitational force between the bodies

Solution:-

By Newton's Universal Law of Gravitation, we know that:-

=>F = GMm/R²

Where:-

•F is the gravitational force

•G is Universal Gravitational Constant

•M is mass if the 1st body

•m is mass of the 2nd body

•R² is the square of distance of separation between the bodies

=>F = 6.7×10⁻¹¹×30×60/(15)²

=>F = 6.7×10⁻¹¹×30×60/15×15

=>F = 6.7×10⁻¹¹×8

=>F = 53.6×10⁻¹¹

=>F = 5.3×10⁻¹⁰ N

Thus, gravitational force of attraction between the bodies is 5.3×10⁻¹⁰N.