breannabailey2110 breannabailey2110
  • 23-08-2019
  • Physics
contestada

What is the speed of a proton after being accelerated from rest through a 5.6x107 V potential difference?

Respuesta :

JemdetNasr JemdetNasr
  • 26-08-2019

Answer:

1.04 x 10⁸ m/s

Explanation:

q = magnitude of charge on the proton = 1.6 x 10⁻¹⁹ C

ΔV = Potential difference through which proton is accelerated = 5.6 x 10⁷ Volts

m = mass of the proton = 1.67 x 10⁻²⁷ kg

v = speed of the proton = ?

Using conservation of energy

Kinetic energy gained by the proton = Electric potential energy lost

(0.5) m v² = q ΔV

(0.5) (1.67 x 10⁻²⁷) v² = (1.6 x 10⁻¹⁹) (5.6 x 10⁷)

v = 1.04 x 10⁸ m/s

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