Final answer:
The potential energy of the cart with a mass of 900 kg at the top of a 60 m hill is 529.2 kilojoules, calculated using the formula PE = mgh.
Step-by-step explanation:
To calculate the potential energy (PE) of the cart at the top of the initial hill, we use the formula PE = mgh, where m is the mass of the cart, g is the acceleration due to gravity, and h is the height of the hill. Plugging in the values provided: m = 900 kg, g = 9.8 m/s², and h = 60 m, the calculation is as follows:
PE = 900 kg × 9.8 m/s² × 60 m
PE = 529200 J, or 529.2 kJ
Thus, the potential energy of the cart at the top of the hill is 529.2 kilojoules.