Engine work context You work in a road test company where they seek to optimize the performance of automobile engines. More precisely, you are trying to quantify the work of the engine when the car climbs a slope. Constraints The mass of the automobile is known. The initial (down the hill) and final (up) speeds of the car are known. The distance travelled by the car is known. The road the automobile is ascending slopes upward at a known angle to the horizontal. The combined effect of road friction and air resistance has been measured previously and can be considered known and constant (call it fr). It is assumed that the motor exerts a constant force. Schematization Draw a diagram of the object that interests us. Draw your x and y axes for this object. Draw and name each force experienced by the object of interest and identify its displacement. Modelization Using the concepts of work and energy, create a model to determine the work done by the motor, given known parameters. Then test your models with the following values and give your answer in kJ: Mass of car: 1150 kg Muzzle Velocity of the car: 30.3 m/s The final speed of the vehicle: 20.2 m/s The distance traveled by the car: 470 m Road inclination angle: 14 degrees Net resistance forces applied to the car: fr = 520 N
Engine work
context
You work in a road test company where they seek to optimize the performance of automobile engines. More precisely, you are trying to quantify the work of the engine when the car climbs a slope.
Constraints
The mass of the automobile is known.
The initial (down the hill) and final (up) speeds of the car are known.
The distance travelled by the car is known.
The road the automobile is ascending slopes upward at a known angle to the horizontal.
The combined effect of road friction and air resistance has been measured previously and can be considered known and constant (call it fr).
It is assumed that the motor exerts a constant force.
Schematization
Draw a diagram of the object that interests us. Draw your x and y axes for this object. Draw and name each force experienced by the object of interest and identify its displacement.
Modelization
Using the concepts of work and energy, create a model to determine the work done by the motor, given known parameters.
Then test your models with the following values and give your answer in kJ:
Mass of car: 1150 kg
Muzzle Velocity of the car: 30.3 m/s
The final speed of the vehicle: 20.2 m/s
The distance traveled by the car: 470 m
Road inclination angle: 14 degrees
Net resistance forces applied to the car: fr = 520 N
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