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A charged particle is accelerated in a uniform electric field.  When its velocity is 2 m/s, its electric potential energy is 100 J and its kinetic energy is 10 J.  What is the particle's potential energy when its velocity reaches 4 m/s?A.25 JB.70 JC.90 JD.135 J

Question

A charged particle is accelerated in a uniform electric field.  When its velocity is 2 m/s, its electric potential energy is 100 J and its kinetic energy is 10 J.  What is the particle's potential energy when its velocity reaches 4 m/s?A.25 JB.70 JC.90 JD.135 J

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Solution

The potential energy of a charged particle in an electric field is independent of its velocity. Therefore, if the particle's potential energy was 100 J when its velocity was 2 m/s, it will still be 100 J when its velocity reaches 4 m/s. The kinetic energy of the particle will change with its velocity, but the question does not ask for the kinetic energy. So, the answer is not given in the options A, B, C, or D. The potential energy remains 100 J.

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