When a car is driven along a straight, horizontal road, it can maintain a maximum constant speed of 70 m/s. Using the information provided below, determine: i.) the useful power output of the car answer = 165kW ii.) the maximum speed that could be maintained when driving up a hill with a constant slope of 3.0 degrees to the horizontal answer = 63m/s Mass of car and driver = 1450 kg The total drag force on the car due to air resistance can be expressed by the equation: F = CDAx1/2pv^2 where v is the speed of the car in m/s CD is the coefficient of drag of the car = 0.32 A is the face area of the car = 2.5 m^2 p is the air density = 1.2 kg/m^3 All other frictional forces are small in comparison to the drag force and may be ignored.
When a car is driven along a straight, horizontal road, it can maintain a
maximum constant speed of 70 m/s.
Using the information provided below, determine:
i.) the useful power output of the car
answer = 165kW
ii.) the maximum speed that could be maintained when driving up a hill with
a constant slope of 3.0 degrees to the horizontal
answer = 63m/s
Mass of car and driver = 1450 kg
The total drag force on the car due to air resistance can be expressed by the
equation:
F = CDAx1/2pv^2
where v is the speed of the car in m/s
CD is the coefficient of drag of the car = 0.32
A is the face area of the car = 2.5 m^2
p is the air density = 1.2 kg/m^3
All other frictional forces are small in comparison to the drag force and may be
ignored.
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calculate the maximum speed that could be maintained when driving DOWN the hill with
a constant slope of 3.0 degrees to the horizontal
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