Concept explainers
a)
The power required for the car to climb the uphill road at the constant velocity.
a)
Explanation of Solution
Given:
Mass of the car
Height climbed by the car in the uphill road
Slope of the road
Time interval
Acceleration due to gravity
Calculation:
Calculate the vertical rise of the car
The change in kinetic energy of the car is zero because the velocity of the car is constant.
Calculate the change in potential energy of the car
Calculate the power required for the car to climb the uphill road at the constant velocity
Thus, the power required for the car to climb the uphill road at the constant velocity is
b)
The power required for the car to climb the uphill road from rest to the final velocity.
b)
Explanation of Solution
Given:
Initial velocity of the car
Final velocity of the car
Calculation:
Calculate the change in kinetic energy of the car
Calculate the power required for the car to climb the uphill road rest to the final velocity
Thus, the power required for the car to climb the uphill road from rest to the final velocity is
c)
The power required for the car to climb the uphill road from initial velocity to the final velocity.
c)
Explanation of Solution
Given:
Initial velocity of the car
Final velocity of the car
Calculation:
Calculate the change in kinetic energy of the car
Calculate the power required for the car to climb the uphill road from initial velocity to the final velocity
Thus, the power required for the car to climb the uphill road from initial velocity to the final velocity is
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