at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km
To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle):
a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95.
b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed?
c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power?
d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed?
e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route.
Please add the free body diagram.
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