Final answer:
The velocity at which a 342.6 kg object must be moving to possess a kinetic energy of 2.0 J is approximately 0.226 m/s.
Step-by-step explanation:
In order to calculate the velocity at which a 342.6 kg object must be moving to possess a kinetic energy of 2.0 J, we can use the formula for kinetic energy: KE = 0.5mv^2. Rearranging the formula to solve for velocity (v), we have v = sqrt(2KE/m). Substituting the given values, we get:
v = sqrt(2 * 2.0 J / 342.6 kg) = 0.226 m/s (rounded to three decimal places).