A particle of mass \( 1 \mathrm{~g} \) and charge \( 2 \cdot 5 \times 10^{-4} \mathrm{C} \) is r...

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A particle of mass \( 1 \mathrm{~g} \) and charge \( 2 \cdot 5 \times 10^{-4} \mathrm{C} \) is released from rest in an electric field of \( 1.2 \times 10^{4} \mathrm{~N} \mathrm{C}^{-1} \). (a) Find the electric force and the force of gravity acting on this particle. Can one of these forces be neglected in comparison with the other for approximate analysis ? (b) How long will it take for the particle to travel a distance of \( 40 \mathrm{~cm} \) ? (c) What will be the speed of the particle after travelling this distance? (d) How much is the work done by the electric force on the particle during this period?
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