Final answer:
The change in the car's gravitational potential energy from A to B is -11.76 J.
Step-by-step explanation:
The change in the car's gravitational potential energy can be calculated by subtracting the initial potential energy from the final potential energy. The gravitational potential energy of an object is given by the equation PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
In this case, the initial potential energy (PEA) is given by mghA and the final potential energy (PEB) is given by mghB.
The change in gravitational potential energy (ΔPE) can be calculated as:
ΔPE = PEB - PEA = mghB - mghA
Substituting the given values, the change in the car's gravitational potential energy from A to B is:
ΔPE = (2.0 kg)(9.8 m/s²)(0.25 m) - (2.0 kg)(9.8 m/s²)(0.80 m)
ΔPE = -11.76 J