A particle is released at rest from A, and feels only an electric force until it

Question

A particle is released at rest from A, and feels only an electric force until it reaches B. The particle has mass m=2.0x10^-5 kg and electric charge q=+3.0x10^-5 C. The potential at A is 25 V greater than at B. [a] What is the speed of the particle at point B? [b] If the same particle had a negative charge and were released from point B, what would be it's speed at A? Why? A particle is released at rest from A, and feels only an electric force until it reaches B. The particle has mass m=2.0x10^-5 kg and electric charge q=+3.0x10^-5 C. The potential at A is 25 V greater than at B. [a] What is the speed of the particle at point B? [b] If the same particle had a negative charge and were released from point B, what would be it's speed at A? Why? [a] What is the speed of the particle at point B? [b] If the same particle had a negative charge and were released from point B, what would be it's speed at A? Why?

Explanation / Answer

Here ,

particle of mass , m = 2 *10^-5 Kg

electric charge , q = 3 *10^-5 C

potential , V = 25 V

let the speed at point B is u

0.5 * 2 *10^-5 * u^2 = q * V

1 *10^-5 * u^2 = 25 * 3 *10^-5

u = 8.66 m/s

the speed of the particle at point B is 8.66 m/s

B)

for the particle at point A ,

let the speed at point B is u

0.5 * 2 *10^-5 * u^2 = - q * -V

1 *10^-5 * u^2 = 25 * 3 *10^-5

u = 8.66 m/s

the speed of the particle at point A is 8.66 m/s

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