How much would an object need to have so there is a gravitational force of 1 N between me and the object? I have a mass of 77 kg, and I'm 1m away from the object.
Sol. : We know Gravitational force between two masses is given by,
F = GM1M2/ R2
Where G is the gravitational constant = 6.7 10-11 Nm2/kg2
And consider M1 is the mass of the object to be calculated. And M2 be the mass of person (given) = 77kg
R is the distance between the two objects (in meters) which is given in question = 1 m
Putting all the values in formula,
1N = (6.710-11Nm2/kg2 M1 77 kg) / (11)m2
So, M1 = 1/(6.710-1177 ) kg
M1 = 1.938 108 kg
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