Final answer:
The energy of an electron with a speed of 1×10^5 m/s is approximately 2.84 × 10^4 eV.
Step-by-step explanation:
The energy of an electron can be calculated using the formula:
Energy = (1/2)mv^2
Given that the electron has a speed of 1×10^5 m/s and a mass of 9.11 × 10^-31 kg, we can substitute these values into the formula:
Energy = (1/2)(9.11 × 10^-31 kg)(1×10^5 m/s)^2
When you calculate this, the energy of the electron comes out to be approximately 4.55 × 10^-15 J. To convert this energy into electron volts (eV), we can use the conversion factor:
1 eV = 1.6 × 10^-19 J
So, to find the energy in electron volts, we can divide the energy in joules by the conversion factor:
Energy in eV = (4.55 × 10^-15 J)/(1.6 × 10^-19 J/eV)
When you calculate this, the energy of the electron is approximately 2.84 × 10^4 eV.