Electricity with conservation of energy involved.

AI Thread Summary
To find the kinetic energy of a 7.70 µg sphere with a charge of -2.80 nC when it is 0.500 µm from a fixed charge of +9.25 nC, conservation of energy principles can be applied. The initial potential energy at 1.74 µm can be calculated using the formula for electric potential energy, and the change in potential energy as the sphere moves to 0.500 µm will equal its kinetic energy at that point. Additionally, the speed of the sphere can be derived from its kinetic energy using the equation KE = 0.5mv². By substituting the known values into these equations, the required kinetic energy and speed can be determined. This approach effectively utilizes conservation of energy to solve the problem.
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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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