Final answer:
The potential energy of the cat after climbing 3 meters up the tree is 352.8 J.
Step-by-step explanation:
To calculate the potential energy of an object, we use the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object. In this case, the mass of the cat is 12 kg and the height it climbed is 3 meters. Plugging these values into the formula, we get PE = (12 kg)(9.8 m/s^2)(3 m) = 352.8 J. Therefore, the potential energy of the cat after climbing the tree is 352.8 J.