Question

Accelerating a Proton. Calculate the speed of a proton after it has been accelerated from rest through a potential difference of AV = 350V. Give your answer in m/s. The mass of a proton is m, = 1.67262x10 ⁻²⁷ kg.

Answer 1

The speed of a proton after being accelerated through a potential difference can be calculated using the formula v = √(2qV/m), where v is the final speed, q is the charge of the proton, V is the potential difference, and m is the mass of the proton. Plugging in the given values, the final speed of the proton is approximately 1.48 x 10^6 m/s.

Step-by-step explanation:

To calculate the speed of a proton after it has been accelerated through a potential difference, we can use the equation:

v = √(2qV/m)

Where v is the final speed, q is the charge of the proton, V is the potential difference, and m is the mass of the proton.

Plugging in the given values, we have:

v = √(2 * 1.6 x 10-19 C * 350 V / 1.67 x 10-27 kg)

Calculating this expression gives us a final speed of approximately 1.48 x 106 m/s.