find the separation distance between two massive particles each of mass 5 mg if they experience a gravitational force of 6.66 dyne(ans 5×10^-6m)
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Given:
Mass of each of the two massive particles = 5 mg = 5×10⁻⁶ kg
Gravitational force experienced by the particles = 6.66 dyne = 6.66×10⁻⁵ N
To find:
The separation distance between the two particles.
Solution:
We know that the formula for gravitational force between two particles is:
F = GM1M2/ r²
On re-arranging:
r=√(GM1M2/ F)
On substituting the given values:
r = √(6.67×10⁻¹¹×(5×10⁻⁶)²/ 6.66×10⁻⁵)
r = 5×10⁻⁹ m
Thus the distance of separation between the two particles will be 5×10⁻⁹ m.
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