A cable car has a mass of 3000kg when fully laden. An electrical motor is used to pull the cable car up from the lower base station (at 366m above sea level) to the top of the mountain, which is 1066m above sea level. The motor can deliver a maximum of 88kW. It takes 7 minutes for the cable car to move from the lower base station to the top of the mountain. (a) If the motor operates at maximum power output, calculate the electrical energy used by the motor to pull the cable car. (b) Calculate the gain in gravitational potential energy of the fully laden car when it moves from the bottom station to the top station. Compare your answer with the value calculated in the previous question and explain the difference.

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