A particle of mass $m$ and charge $q$ starts from rest and moves in...

Question

A particle of mass $m$ and charge $q$ starts from rest and moves in an electric field $\vec{E} = E_0\hat{i}$. After travelling a distance $x$ in the field along the x-axis, the kinetic energy of the particle will be:

Accepted Answer

Work done by the electric force equals the gain in kinetic energy (work-energy theorem). Force on the charge: $$F = qE_0$$ Work done over distance $x$: $$W = F \cdot x = qE_0x$$ Since the particle starts from rest, $$KE = W = qE_0x$$ Hence the correct option is (B).

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