A certain moving electron has a kinetic energy of 1.01 × 10−19 J. Calculate the speed necessary for the electron to have this energy. The mass of an electron is 9.109 × 10−31 kg. Answer in units of m/s.

Respuesta :

Answer:

Velocity of electron will be equal to [tex]v=4.711\times 10^5m/sec[/tex]

Explanation:

We have given kinetic energy of electron [tex]KE=1.01\times 10^{-19}J[/tex]

Mass of electron [tex]m=9.1\times 10^{-31}kg[/tex]

We have to find velocity of electron

Kinetic energy of electron is equal to [tex]KE=\frac{1}{2}mv^2[/tex], here m is mass and v is velocity

So [tex]1.01\times 10^{-19}=\frac{1}{2}\times 9.1\times 10^{-31}\times v^2[/tex]

[tex]v=4.711\times 10^5m/sec[/tex]

So velocity of electron will be equal to [tex]v=4.711\times 10^5m/sec[/tex]