Four point positive charges are held at the vertices of a square in a horizontal plane. Their masses are $$1$$ kg, $$2kg$$,$$3kg$$ and $$4kg$$. Another point positive charge of $$mass10$$ kg is kept on the axis of the square. The weight of this fifth charge is balanced by the electrostatic force due to those four charges. If the four charges on the vertices arereleased such that they can freely move in any direction (vertical$$, horizontal etc.$$) then the acceleration of the centre of mass of the four charges immediately after the release is (use$$ $$g=10m/s2)

Question

Four point positive charges are held at the vertices of a square in a horizontal plane. Their masses are $$1$$ kg, $$2kg$$,$$3kg$$ and $$4kg$$. Another point positive charge of $$mass10$$ kg is kept on the axis of the square. The weight of this fifth charge is balanced by the electrostatic force due to those four charges. If the four charges on the vertices arereleased such that they can freely move in any direction (vertical$$, horizontal etc.$$) then the acceleration of the centre of mass of the four charges immediately after the release is (use$$ $$g=10m/s2)

Infinity Learn · Accepted Answer

The net electrostatic force on $$10$$ kg charge should be $$Fe=$$ $$100$$ N upwards∴Net electrostatic force on remaining four charges: $$100$$ N downwards∴Net force on remaining four charges : Net electrostatic force $$+$$ net weight $$=$$ $$100$$ N $$+$$ $$100$$ N $$=$$ $$200N$$ downwards∴Acceleration of centre of mass of the four charges immediately after the $$release=$$ Net Force  Net mass $$=20010=20m/s2$$ downwards

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