# A charge of #3 C# is at #(4 ,-7 )# and a charge of #-1 C# is at #(-2 , 4 ) #. If both coordinates are in meters, what is the force between the charges?

We're asked to calculate the magnitude of the electric force between two point charges, for which we can use the equation

where

The distance between the two point charges is found using the distance formula:

Plugging in our known values, we have

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The force between the charges is approximately 12.5 Newtons.

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