Final answer:
To find the kinetic energy of a moving charge, use the formula (1/2)mv². For a given mass and speed, this will give the energy in joules, which can then be converted to electron volts if necessary. Without the specific velocity or enough context, we cannot choose from the provided kinetic energy values.
Step-by-step explanation:
Since the question specifically asks about the kinetic energy of a positive charge moving at a certain velocity, we must use the kinetic energy formula KE = (1/2)mv², where m is mass and v is velocity. For a bare helium nucleus with a mass of 6.64×10⁻²⁷ kg moving at 2.00% of the speed of light (c = 3×10⁸ m/s), we calculate its kinetic energy as follows:
First, find the velocity in meters per second: v = 0.02 × c = 0.02 × 3×10⁸ m/s = 6×10⁶ m/s.
Now, plug this value into the kinetic energy formula: KE = (1/2)(6.64×10⁻²⁷ kg)(6×10⁶ m/s)².
Calculating the above expression gives us the kinetic energy in joules. However, we do not have enough information in this specific question to compute an exact value. Moreover, electron volts and voltage needed can be derived from the calculated kinetic energy using relevant conversion factors and formulas.
The provided options for kinetic energy values (0 J, 2 J, 4 J, 6 J) cannot be accurately assessed without the student's full problem details.