A particle (charge = 5.0 μC) is released from rest at a point x = 10 cm on the x-axis. If a 5.0-μC charge is held fixed at the origin, what is the kinetic energy of the particle after it has moved 90 cm?

Respuesta :

Answer:

Explanation:

Given

Two charges with charge [tex]Q=5\ \mu C[/tex]

When the first charge is at [tex]x=10\ cm[/tex] on the x-axis and another at x=0 (origin)

there is only Potential Energy

Total Energy(E)=Kinetic Energy(K)+Potential Energy(U)

[tex]U_i=\frac{kQ\cdot Q}{r}[/tex]

[tex]U_i=\frac{9\times 10^9\times (5\times 10^{-6})^2}{0.1}[/tex]

[tex]U_i=2.25\ J[/tex]

[tex]E=2.25[/tex]

When First charge is at [tex]x=90[/tex]

There will be both Kinetic energy and potential Energy

[tex]U_f=\frac{kQ\cdot Q}{r}[/tex]

[tex]U_f=\frac{9\times 10^9\times (5\times 10^{-6})^2}{0.9}[/tex]

[tex]U_f=0.25\ J[/tex]

As total Energy is constant therefore Kinetic Energy is

[tex]k=E-U_f[/tex]

[tex]k=2.25-0.25=2\ J[/tex]