Final answer:
The magnitude of velocity of a 22 kg dog running with 450 J of kinetic energy is approximately 9.06 m/s.
Step-by-step explanation:
The magnitude of velocity can be calculated using the formula:
KE = (1/2)mv^2
Given that the kinetic energy is 450 J and the mass of the dog is 22 kg, we can rearrange the formula to solve for velocity:
v = sqrt(2KE/m)
Plugging in the values, we have:
v = sqrt(2 * 450 J / 22 kg) ≈ 9.06 m/s
Therefore, the magnitude of velocity of the 22 kg dog running with 450 J of kinetic energy is approximately 9.06 m/s.