Final answer:
Rearranging the equation, we have v = √(2KE/m). To find the speed of the particle with a given kinetic energy and mass, use the equation v = √(2KE/m).
Step-by-step explanation:
To find the speed of the particle, we can use the equation for kinetic energy, which is KE = 1/2mv².
Rearranging the equation, we have v = √(2KE/m).
Plugging in the given values, we have v = √(2 * 7.60 MeV / 4.00 x 10-27 kg).
Solving this equation gives us the speed of the particle.
Speed = 2.02 x 108 m/s
To find the speed of the particle with a given kinetic energy and mass, use the equation v = √(2KE/m).