A charge 15.41 mC is placed to the left of another charge 72.73 mC on a plane, a

Question

A charge 15.41 mC is placed to the left of another charge 72.73 mC on a plane, as shown in the figure. Another charge of -3.051 ?C and mass 36.31 g (depicted as a blue sphere) is placed at rest at a distance 33.44 cm above the right-most charge and released. What is the speed of the -3.051 ?C charge if it reaches the gray position labeled A?

A charge 15.41 mC is placed to the left of another charge 72.73 mC on a plane, as shown in the figure. Another charge of -3.051 ?C and mass 36.31 g (depicted as a blue sphere) is placed at rest at a distance 33.44 cm above the right-most charge and released. What is the speed of the -3.051 ?C charge if it reaches the gray position labeled A?

Explanation / Answer

Vinitial = 9E9*(72.73E-3/33.44E-2 + 15.41E-3/sqrt(37.15E-2^2 + 33.44E-2^2))=2.23E9

Vfinal = 9E9*(15.41E-3/11.15E-2 + 72.73E-3/(37.15E-2-11.15E-2))=3.76E9

Einitial = Ef

-3.051E-6*2.23E9 = -3.051E-6*3.76E9 + 0.5*36.31E-3*v^2

v=507 m/s

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