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A 1000 kg car has a maximum power output of 120 hp. How steep a hill can it climb at a constant speed of 74 km?

A 1000 kg car has a maximum power output of 120 hp. How steep a hill can it climb at a constant speed of 74 km/h if the frictional forces add up to 600 N?

power = 0.746 kW * 120 = 89.52 kw = force * velocity

74 km/hr = 74 * 1000 / 3600 = 20.55 m/s

engine force = 89.52 x1000 / 20.55 = 4356 N

net upward force = 4356 - 600 =3756 N = horizontal component of weight

3756 = 1000 * 9.81 * sin A

sin A = 0.3828

A=22.5
(answer)