Electricity with conservation of energy involved.

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SUMMARY

The discussion focuses on calculating the kinetic energy and speed of a charged sphere when it moves towards a fixed charge, utilizing the principles of conservation of energy. A sphere with a mass of 7.70 µg and a charge of -2.80 nC is initially positioned 1.74 µm from a fixed charge of +9.25 nC. When the sphere is released from rest and reaches a distance of 0.500 µm from the fixed charge, its kinetic energy can be determined using the formula for electric potential energy and kinetic energy conversion. The calculations yield a specific kinetic energy value and corresponding speed at that distance.

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A tiny sphere of mass 7.70 µg and charge −2.80 nC is initially at a distance of 1.74 µm from a fixed charge of +9.25 nC.
(a) If the 7.70-µg sphere is released from rest, find its kinetic energy when it is 0.500 µm from the fixed charge.

(b) If the 7.70-µg sphere is released from rest, find its speed when it is 0.500 µm from the fixed charge.
m/s
 
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