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QUESTION

What is the force, in terms of Coulomb's constant, between two electrical charges of ##-45 C## and ##60 C## that are ##15 m ## apart?

Force 'F' in terms of coulomb's constant 'k' is -12k Newtons.

According to the ##F = (kq_1q_2)/r^2##. Here the coulomb's constant 'k' is often written as ##1/(4piepsilon_"0")## so that the force equation becomes ##F = [1/(4piepsilon_"0")][(q_1q_2)/r^2]## In S.I units , the coulomb's constant 'k' is measured to be ##8.98755xx10^9 N m^2 C^-2 ~~9xx10^9 Nm^2C^-2## By substituting the given values in terms of 'k' we get, Force## F = [k(-45)(60)]/(15)^2=-12k## Newtons. In terms of numericals ##F = -108xx10^9##Newtons.

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