A point charge with charge q1 = 3.90 μC is held stationary at the origin. A second point charge with charge q2 = -4.40 μC moves from the point ( 0.170 m , 0) to the point ( 0.255 m , 0.270 m ). How much work W is done by the electric force on the moving point charge? Express your answer in joules. Use k = 8.99×109 N⋅m^2/C^2 for Coulomb's constant: k=(1/4πϵ0)

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A point charge with charge q1 = 3.90 μC is held stationary at the origin. A second point charge with charge q2 = -4.40 μC moves from the point ( 0.170 m , 0) to the point ( 0.255 m , 0.270 m ). How much work W is done by the electric force on the moving point charge?
Express your answer in joules. Use k = 8.99×109 N⋅m^2/C^2 for Coulomb's constant: k=(1/4πϵ0)
 
 
W= ? J
Expert Solution
Step 1

(given)

A point charge (q1) = 3.90 μC = 3.90 ×10-6 C

Second point charge (q2) = -4.40 μC = - 4.40 ×10-6 C

Initial separation is

r1= 0.170 m

Final separation is

r2=0.255 m2+0.270 m2     =0.065025+0.0729   =0.137925   =0.371 m

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