A positive charge +q= +8.0*10^-8 C with mass m=5.5*10^-10 kg, located at the +V plate, is at rest. If the final speed of the charge is vf=600m/s when it strikes the -Vplate, what is the electric potential V of the plates? A. 24.9 V B. 1240 V C. 1000 V D. 619 V E. 1.03 V

Respuesta :

Answer:

[tex]\Delta V = 1240 Volts[/tex]

Explanation:

As we know that charge moves from higher potential to lower potential

so here change in electrostatic potential energy must be equal to final kinetic energy of the charge

so we will have

[tex]q\Delta V = \frac{1}{2}mv^2[/tex]

so we will have

[tex]q = 8\times 10^{-8} C[/tex]

[tex]m = 5.5 \times 10^{-10} kg[/tex]

[tex]v_f = 600 m/s[/tex]

[tex](8 \times 10^{-8})\Delta V = \frac{1}{2}(5.5 \times 10^{-10})(600^2)[/tex]

[tex]\Delta V = 1240 Volts[/tex]

Answer:

B. 1240 V

Explanation:

Given

Initial velocity of the charge, u = 0 m/s

Final velocity of the charge, v = 600 m/s

Magnitude of the charge, q =  [tex]8.0 \times 10^{-8}C[/tex]

mass of the charge, m = [tex]5.5 \times 10^{-10} kg[/tex]

Solution

Gain in mechanical energy = Loss in electric potential energy

[tex]\frac{1}{2} mv^{2} - \frac{1}{2} mu^{2}= Vq\\\\0.5 \times 5.5 \times 10^{-10} \times 600^{2}  - 0 = V \times 8.0 \times 10^{-8}\\\\V = 1237.5 V[/tex]

Rounding off the answer to closest tens, we get

V = 1240 V