Two charges of # 7 C # and # 4 C # are at points # (4, 7 ,8) # and # ( 2 ,3, 8 )#, respectively. Assuming that both coordinates are in meters, what is the force between the two points?
1 Answer
Jul 10, 2017
Answer:
Explanation:
We're asked to find he magnitude of the electric force
To do this, we can use the equation
where

#k# is Coulomb's constant, equal to#8.988 xx 10^9("N"•"m"^2)/("C"^2)# 
#r# is the distance between the two point charges, in#"m"#
This distance can be found via the distance formula:
#r = sqrt((42)^2 + (7(3))^2 + (8(8))^2) = color(red)(10.2# #color(red)("m"#
Plugging in known values, we have