Two spherical balls of mass 1kg and 4kg are separated by a distance of 12cm the distance from 1kg at which the gravitational force on any mass becomes zero
Answers
We know that the gravitational force =
F = Gm₁m₂/r²
we have m₁= 1 kg
m₂ = 4 kg
d = 12 cm
Let the distance at which the force due to gravity is 0 is x. This means that force due to both the object at this point are equal and opposite.
distance of this point = x cm from 1kg ball
=> distance of this point from 4 kg ball = d-x = 12-x
So,
Gmm₁/x² = Gmm₂/(12-x)²
=> 1/x² = 4/(12-x)²
=> 1/x = 2/12-x
=> 2x = 12-x
=> 3x= 12
=> x = 4 cm
Hence at 4cm from 1 kg ball the net force is zero.
We know that the gravitational force =
F = Gm₁m₂/r²
we have m₁= 1 kg
m₂ = 4 kg
d = 12 cm
Let the distance at which the force due to gravity is 0 is x. This means that force due to both the object at this point are equal and opposite.
distance of this point = x cm from 1kg ball
=> distance of this point from 4 kg ball = d-x = 12-x
So,
Gmm₁/x² = Gmm₂/(12-x)²
=> 1/x² = 4/(12-x)²
=> 1/x = 2/12-x
=> 2x = 12-x
=> 3x= 12
=> x = 4 cm
Hence at 4cm from 1 kg ball the net force is zero