Question #23843

as sugar is poured into a bowl, the rubbing of sugar grains creates a static electric charge that repels the grains, and causes sugar to fly out in all directions. each of two sugar grains have a charge of 2.0X10^-11C at a seperation of 5.0X10^-5 with what force will they repel eachother
1

Expert's answer

2013-02-19T09:48:59-0500

As sugar is poured into a bowl, the rubbing of sugar grains creates a static electric charge that repels the grains, and causes sugar to fly out in all directions. each of two sugar grains have a charge of 2.0×10611C2.0 \times 10^{-6} - 11 \mathrm{C} at a separation of 5.0×10655.0 \times 10^{-6} - 5 with what force will they repel each other

Solution

They repel each other with Coulomb's force


F=kq2r2=8,99109Nm2C2(2.0×1011C)2(5.0×105m)2=1.44103N=1.44μNF = \frac {k q ^ {2}}{r ^ {2}} = 8,99 \cdot 10^{9} \mathrm{N} \cdot \frac {\mathrm{m} ^ {2}}{\mathrm{C} ^ {2}} * \frac {(2.0 \times 10^{-11} \mathrm{C}) ^ {2}}{(5.0 \times 10^{-5} \mathrm{m}) ^ {2}} = 1.44 * 10^{-3} \mathrm{N} = 1.44 \mu \mathrm{N}


Answer: 1.44μN1.44 \mu \mathrm{N}

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