Any body that has mass attracts every other body towards its centre. So why does any object around us not get attracted towards us. For eg. Why does my friend not attract towards me.
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Solution
Yes you are right. Everything in universe attracts anything around it. Even two books do, but the force acting between two bodies is negligible. We find the force of attraction between two bodies by this formula: F = G × (M x m / r ^2) Where F is the force of attraction between the two bodies, G is the gravitational constant (6.67 × 10^-11 N m^2 kg^-2), M is the mass of one body, m is the mass of another body and r is the distance between them. Now considering the mass of your body to be 45 kg and your friend is 40 kg and the distance between them to be 1 metre, the sum will go: F = G x (M x m / r ^ 2)
F = G x (M x m / r ^ 2) F = 6.67 × 10 ^ -11 × (45 x 40 / 1) F = 6.67 x 10 ^ -11 × 45*40 F = 12006 x 10^-11 F = 1.2006 x 10 ^ -7 This is in scientific notation. The actual number would be 0.00000012006 N. It is negligible Now, considering the mass of a man to be 50 kg and the mass of Earth is 5.983 x 10^24 kg, while the distance between them to be 1 metre,the sum comes: F = G x (M x m / r ^ 2) F = 6.67 x 10 ^ -11 x (50 x 5.983 x 10^24 / 1) F = 6.67 x 10 ^ -11 x 2.9915 x 10 ^ 26 F = 1.9953305 x 10 ^ 16 Therefore the Earth attracts a body of 50 kg witha force of 1.9953305 x 10 ^16 N. So, therfore, the force of attraction acting between two man on earth is very negligible as compared to the Earth attracting a body of 50 kg.