two metal spheres each of radius r are kept in contact with each other if d is the density of the sphere material ,the gravitational force between those spheres is proportional to
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hey mate
here's the solution
here's the solution
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sweetylyceum135:
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Density=mass/volume
mass=density×volume
let m be mass of these two spheres.
m=d×4/3πr^3
we know,
Gravitational Force=G*m*m/r^2
=G*d^2×16/9×π^2×r^6/r^2
=G*d^2×16/9×π^2×r^4
Here, G*16/9*π^2 is a constant value
therefore , Gravitational Force is directly proportional to d^2×r^4
mass=density×volume
let m be mass of these two spheres.
m=d×4/3πr^3
we know,
Gravitational Force=G*m*m/r^2
=G*d^2×16/9×π^2×r^6/r^2
=G*d^2×16/9×π^2×r^4
Here, G*16/9*π^2 is a constant value
therefore , Gravitational Force is directly proportional to d^2×r^4
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