Question

A particle of mass 1kg amd charge 1C moves from rest through a potential of 1V its final velocity would be​

Answer 1

Given:

A particle of mass 1kg and charge 1C moves from rest through a potential of 1V.

To find:

Final velocity is ?

Calculation:

In these kind of questions, it is best to apply WORK-ENERGY THEOREM.

• The net work done by all the forces will be equal to the change in kinetic energy of the particle.

$W = \Delta KE$

$\implies force \times d = \Delta KE$

$\implies Eq \times d = \dfrac{1}{2}m {v}^{2} - 0$

$\implies \dfrac{V}{d} \times q \times d = \dfrac{1}{2}m {v}^{2}$

$\implies Vq = \dfrac{1}{2}m {v}^{2}$

$\implies \: v = \sqrt{ \dfrac{2Vq}{m}}$

$\implies \: v = \sqrt{ \dfrac{2 \times 1 \times 1}{1}}$

$\implies \: v = 1.414 \: m {s}^{ - 1}$

So, final velocity is 1.414 m/s.