The gravitational force between two masses m and m2 located a distance r apart has a magnitude of FG =Gmm2,where G = 6.674×10 N ⋅ m2/kg2; this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius a = 30 μm and mass density ρm = 2.2 × 103 kg/m3 are located a distance L apart.If they are released rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum number n that would prevent the masses from colliding. 4. The gravitational force between two masses m₁ and m₂ located a distance r apart has a magnitude ofm1m₂FG = Gwhere G = 6.674×10-¹¹ N. m²/kg²; this has a nearly identical form to the Coulomb force law between twocharges (except the force constants are different and masses are always positive). Suppose two identicalspherical masses with radius a = 30 µm and mass density pm = 2.2 x 10³ kg/m³ are located a distance Lapart.LIf they are released rest, their gravitational attraction will cause them to eventually collide. If, however,each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose eachmass has an excess of n extra electrons that causes both to be negatively charged. Find the minimumnumber n that would prevent the masses from colliding.

Solution:- 1) The gravitational force acring between two masses m1 and m2 , separated by a distance…

Answered: 4. The gravitational force between two…

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The gravitational force between two masses m and m2 located a distance r apart has a magnitude of FG =Gmm2, where G = 6.674×10 N ⋅ m2/kg2; this has a nearly identical form to the Coulomb force law between two charges (except the force constants are different and masses are always positive). Suppose two identical spherical masses with radius a = 30 μm and mass density ρm = 2.2 × 103 kg/m3 are located a distance L apart. If they are released rest, their gravitational attraction will cause them to eventually collide. If, however, each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum number n that would prevent the masses from colliding.

4. The gravitational force between two masses m₁ and m₂ located a distance r apart has a magnitude of
m1m₂
FG = G
where G = 6.674×10-¹¹ N. m²/kg²; this has a nearly identical form to the Coulomb force law between two
charges (except the force constants are different and masses are always positive). Suppose two identical
spherical masses with radius a = 30 µm and mass density pm = 2.2 x 10³ kg/m³ are located a distance L
apart.
L
If they are released rest, their gravitational attraction will cause them to eventually collide. If, however,
each mass has the same charge, then a Coulomb force will oppose the gravitation force. Suppose each
mass has an excess of n extra electrons that causes both to be negatively charged. Find the minimum
number n that would prevent the masses from colliding.

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