Eco Car

can you help with this challenging physics question..?

You're the CEO of a courier company, and you decide to select an Electric Car for your fleet of vehicles. A particular car has a mass of 1500 kg and is powered by 26 12-V batteries connected in series, for a total of 312 V. Batteries are rated at 100 ampere-hours, which means they can deliver 100 A for 1 h, 1 A for 100 h, or any combination that equals 100 A. h. When the batteries are connected in series, the charge output of all the batteries is the same as one battery-in this case 100 A. h. The motor is 85% efficient in converting electrical energy to mechanical energy in the drive wheels. A test report says the car can climb a 13 degree slope at a speed of 40 km/h.

Assuming the batteries are fully charged, how long can the car maintain this speed at that angle?

I have no clue on how to do this problem

any help is appreciated

You have everything needed to solve this. Tan 13 deg = .23, .23 times 40km/h = 9.2 km/h straight up. So how much horse power is needed to lift 1500kg straight up at 9.2 km/h. The power of the motor is 312 volts times, 100 amps, times .85 = 26,520 watts. I would convert watts to horse power and convert kgs and km/h to ft.pounds /sec and there you have it.

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