The electric force between them if the pieces of grain are 2.4 cm apart is 2.49 x 10⁻¹⁰ N.
The electrostatic force F between two charged objects placed distance apart is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
F = kq₁q₂/r²
where k = 9 x 10⁹ N.m²/C²
Given is the charge q₁=-4.2x 10⁻¹⁰ C and charge q₂= 3.8 x 10⁻¹⁵ C, distance between charges r =2.4 cm =0.024m
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To find the magnitude of force, only the magnitude of charges are taken.
Substituting the values into the expression ,we get the electrostatic force
F = (9 x 10⁹ x4.2x 10⁻¹⁰ x 3.8 x 10⁻¹⁵ )/ (0.024)²
F = 2.49 x 10⁻¹⁰ N
Thus, the magnitude of the electric force is 2.49 x 10⁻¹⁰ N
Learn more about electrostatic force.
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