Final answer:
The kinetic energy of an 18 kg dog running at a speed of 8.5 m/s is calculated using the formula KE = \(\frac{1}{2}mv^2\) and is found to be 650.25 joules.
Step-by-step explanation:
The kinetic energy of an object can be calculated using the formula KE = \(\frac{1}{2}mv^2\), where m is the mass of the object and v is its velocity. In the case of an 18 kg dog running at a speed of 8.5 m/s, the kinetic energy can be calculated by substituting the given values into the formula: KE = \(\frac{1}{2} \times 18 kg \times (8.5 m/s)^2\).
Upon computing, KE = \(\frac{1}{2} \times 18 kg \times 72.25 m^2/s^2\) = \(9 kg \times 72.25 m^2/s^2\) = 650.25 joules. Therefore, the kinetic energy of the dog is 650.25 joules.
Subsequently, the mention correct option answer in the final answer is 650.25 joules.