Concept explainers
(a)
Minimum power delivered by the electric motor
(a)
Answer to Problem 67P
Explanation of Solution
Given:
Average force due to air drag and rolling friction
Speed of the car
Minimum power delivered by the battery
Formula Used:
Power in terms of Voltage “F” and constant velocity“v” is given as
Calculation:
Minimum power delivered by the battery is:
Conclusion:
Hence, minimum power delivered by the battery is
(b)
Total charge delivered by series combination of ten batteries.
(b)
Answer to Problem 67P
Explanation of Solution
Given:
Charge delivered by each battery
Total charge delivered by series combination of batteries
Formula Used:
Charge in terms of current “I” and “t” is given as
Calculation:
Power delivered by single battery is:
In series charge remains same. Hence the charge for series combination of ten batteries is same as the charge delivered by a single battery.
Hence
Conclusion:
Hence, thecharge delivered by series combinationis
(c)
Total energy delivered by series combination of ten batteries.
(c)
Answer to Problem 67P
Explanation of Solution
Given:
Charge delivered by each battery
EMF of each battery
Number of batteries in series
Total EMF provided by series combination of batteries
Total energy delivered by the combination of batteries
Formula Used:
Energy provided by a battery of EMF “V” by delivering a charge “Q” is given as
Calculation:
Total EMF provided by series combination of batteries:
Total energy delivered by the combination of batteries:
Conclusion:
Hence, thetotal energy delivered by the combination of batteriesis
(d)
The distance traveled by the car before recharge is required.
(d)
Answer to Problem 67P
Explanation of Solution
Given:
Distance traveled by car
Work done by force on the car
Total energy delivered by the combination of batteries
Formula Used:
Work done is given as
Where, F is the applied force and d is the distance.
Calculation:
Work done by force on the car is given as
Using conservation of energy:
Conclusion:
Hence, thedistance traveled by caris
(e)
The cost per kilometer
(e)
Answer to Problem 67P
Explanation of Solution
Given:
Charge delivered by each battery
Total EMF provided by series combination of batteries
Cost per kilowatt-hour
Total cost
Total distance traveled
Total energy delivered by the combination of batteries
Formula Used:
Energy provided by a battery of EMF “V” by delivering a charge “Q” is given as
Total cost is given as
Cost per unit distance is given as
Calculation:
Total energy delivered by the combination of batteries is given as
Total cost is given as
Cost per unit distance is given as
Conclusion:
Hence total cost per kilometer comes out to be
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Chapter 25 Solutions
Physics for Scientists and Engineers
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