Hi,

I encountered this problem:

A particle of charge Q and mass m is accelerated from rest through a potential difference V, attaining a kinetic energy K. What is the kinetic energy of a particle of charge 2Q and mass m/2 that is accelerated from rest through the same potential difference?

The correct answer is 2K; however, since KE = 1/2mv^2, and U=qV, shouldn't the kinetic energy be K?

Thanks!

I encountered this problem:

A particle of charge Q and mass m is accelerated from rest through a potential difference V, attaining a kinetic energy K. What is the kinetic energy of a particle of charge 2Q and mass m/2 that is accelerated from rest through the same potential difference?

The correct answer is 2K; however, since KE = 1/2mv^2, and U=qV, shouldn't the kinetic energy be K?

Thanks!

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