What is the kinetic energy of an electron moving with a velocity of 150 cm/s^-1? The mass of the electron is 9.11x10^-31 kg.
Since the kinetic energy of an electron is determined by using formula
Kinetic energy = 1/2 * m * v2
Where m - mass of an electron
v- velocity in m/s.
Since v is in cm/s and to convert it in m/s we need to divide it by 100. Therefore
v = 150 cm/s * (1m/100cm) = 1.5 m/s
Therefore kinetic energy = 1/2 * 9.1 * 10-31 kg * (1.5 m/s)2
Kinetic energy = 1/2 * (9.1 * 10-31 * 2.25 kg m2/s2)
= 1/2 * (2.0475 * 10-30 kg m2/s2)
= 1.02375 * 10-30 kg m2/s2
Since 1 J = kg m2/s2
Therefore kinetic energy = 1.02 * 10-30 J
Kinetic energy of an electron is 1.02 * 10-30 J.
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