3. A car drives up a straight incline that is 4.8 km long. The total height of the incline is 0.30 km. The car moves up the incline at a steady speed of 16 m/s. During the climb, the average friction force acting on the car is 5.0 × 10² N. The total weight of the car and the driver is 1.2 × 104 N. a. Determine the time it takes the car to travel from the bottom to the top of the incline. b. Determine the work done against the C. 4.8 km 0.30 km gravitational force in travelling from the bottom to the top of the incline. Determine the work done against the frictional force in travelling from the bottom to the top of the incline. d. Using your answers to (a), (b) and (c), calculate a value for the minimum power output of the car engine needed to move the car from the bottom to the top of the incline. e. Assuming that the engine is only 45% efficient, what is the input power needed by the engine to move the car from the bottom to the top of the incline.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter5: The Laws Of Motion
Section: Chapter Questions
Problem 5.8P: (a) A cat with a mass of 850 kg in moving to the right with a constant speed of 1.44 m/s. What is...
Question

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3.
A car drives up a straight incline that is 4.8 km long. The total height of the incline is
0.30 km. The car moves up the incline at a steady speed of 16 m/s. During the climb,
the average friction force acting on the car is
5.0 × 10² N. The total weight of the car and
the driver is 1.2 × 104 N.
a.
Determine the time it takes the car to
travel from the bottom to the top of the
incline.
b. Determine the work done against the
C.
4.8 km
0.30 km
gravitational force in travelling from the bottom to the top of the incline.
Determine the work done against the frictional force in travelling from the bottom
to the top of the incline.
d. Using your answers to (a), (b) and (c), calculate a value for the minimum power
output of the car engine needed to move the car from the bottom to the top of the
incline.
e. Assuming that the engine is only 45% efficient, what is the input power needed by
the engine to move the car from the bottom to the top of the incline.
Transcribed Image Text:3. A car drives up a straight incline that is 4.8 km long. The total height of the incline is 0.30 km. The car moves up the incline at a steady speed of 16 m/s. During the climb, the average friction force acting on the car is 5.0 × 10² N. The total weight of the car and the driver is 1.2 × 104 N. a. Determine the time it takes the car to travel from the bottom to the top of the incline. b. Determine the work done against the C. 4.8 km 0.30 km gravitational force in travelling from the bottom to the top of the incline. Determine the work done against the frictional force in travelling from the bottom to the top of the incline. d. Using your answers to (a), (b) and (c), calculate a value for the minimum power output of the car engine needed to move the car from the bottom to the top of the incline. e. Assuming that the engine is only 45% efficient, what is the input power needed by the engine to move the car from the bottom to the top of the incline.
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