An electron of mass 9.11x10−31kg has 8.00x10−17J of kinetic energy. What is the speed of the electron?

Calculating the Speed with Kinetic Energy.

Given

• Mass (m) = 9.11 x 10⁻³¹ kg
• Kinetic Energy (KE) = 8.00 x 10⁻¹⁷ J
• Speed (v) = ?

v² = KE / 1/2m

v² = (8.00 x 10⁻¹⁷ J) / (1/2)(9.11 x 10⁻³¹ kg)

v² = (8.00 x 10⁻¹⁷ J) / (4.56 x 10⁻³¹ kg)

v² = 1.75 x 10⁴⁸ m/s

√v² = √1.75 x 10⁴⁸ m/s

v = 1.32 x 10²⁴ m/s

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