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Homework answers / question archive / If a proton is accelerated from rest through a potential difference of 1500 V, find its final velocity

If a proton is accelerated from rest through a potential difference of 1500 V, find its final velocity

Physics

If a proton is accelerated from rest through a potential difference of 1500 V, find its final velocity. proton mass = 1.67 x10−27 kg. Hint- first find its kinetic energy, then its velocity.

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When a proton is accelerated thoguh a potential of 1500 V then the potential energy change of the proton
change in Potential energy = qV = (1.6*10-19)1500 = 2400*10-19 J
By applying conservation of energy
Change in potential energy = kinetic energy
therefore
kinetic energy = 2400*10-19 J
kinetic energy = (1/2)mV2 = 2400*10-19 J where m is mass of proton and V is velocity of proton
therefore
V = 536120.46 m/s

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