Two charges of # -1 C # and # 4 C # are at points # (-2 ,1,8 ) # and # ( 1,4,-2)#, respectively. Assuming that both coordinates are in meters, what is the force between the two points?

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Answer 1 · 2017-10-07T07:54:15

#3.05*10^8N#

Distance between points #->sqrt(118)# (source)

According to Coulomb's law,

#F=ktimes(abs(q_1)timesabs(q_2))/(r^2)#

#=>F=(9*10^9"N""m"^2/"C"^2)(abs(-1C)timesabs(4C))/((sqrt(118m))^2)#

#=>F=(9*10^9"N"cancel("m"^2)/cancel("C"^2))times4cancel("C"^2)/cancel("m"^2)#

#=>F~~305084745N " OR " 3.05*10^8N#