A charge of #2 C# is at #(-4, -1 )# and a charge of #-1 C# is at #( 2,-5 )#. If both coordinates are in meters, what is the force between the charges?

Answer 1

#3.46 xx 10^8# #"N"#

We're asked to find the magnitude of the electric force #F_e# between two point charges, which we'll call #q_1# and #q_2#.

To do this, we can use the equation

#F_e = k(|q_1q_2|)/(r^2)#

where

#k# is Coulomb's constant, equal to #8.988xx10^9("N"•"m"^2)/("C"^2)#
#r# is the distance, in #"m"#, between the point charges

This distance is found via the distance formula:

#r = sqrt((-4-2)^2 + (-1-(-5))^2) = color(red)(7.21# #color(red)("m"#

Plugging in known values, we have

#F_e = 8.988xx10^9("N"•cancel("m"^2))/(cancel("C"^2))((|(2cancel("C"))(-1cancel("C"))|)/(color(red)(7.21)cancel(color(red)("m"^2))))#
#= color(blue)(3.46xx10^8# #color(blue)("N"#
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Answer 2

The force between the charges is approximately (8.16 \times 10^9) N.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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