Recall that rolling resistance is a force experienced by a vehicle and is given by F=cmg where m is the mass of the vehicle and contents, cis the rolling resistance coefficient, and g = 9.8 m/s² is acceleration due to gravity. Suppose you are driving a large truck of mass 2500 kg with c = 0.02 to go and pick up some heavy items totaling 300 kg that are located at a warehouse. You are evaluating two different routes to take: route A is 30 km to the warehouse and 35 km back to your house; route B is 35 km to the warehouse and 30 km back to your house. Considering the amount of work (and therefore the amount of fuel) required to overcome rolling resistance, which is the better route?

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Recall that rolling resistance is a force experienced by a vehicle and is given by
F=cmg where m is the mass of the vehicle and contents, c is the rolling resistance
coefficient, and g = 9.8 m/s² is acceleration due to gravity.
Suppose you are driving a large truck of mass 2500 kg with c = 0.02 to go and pick
up some heavy items totaling 300 kg that are located at a warehouse. You are
evaluating two different routes to take: route A is 30 km to the warehouse and 35
km back to your house; route B is 35 km to the warehouse and 30 km back to your
house.
Considering the amount of work (and therefore the amount of fuel) required to
overcome rolling resistance, which is the better route?
Route A is better because the driving distance from your house to the
warehouse is smaller.
Both routes are equally good because the work required to overcome rolling
resistance doesn't depend on the distance.
Both routes are equally good because the total driving distance is the same.
Route B is better because the driving distance from the warehouse to your
house is smaller.
Transcribed Image Text:Question 2 Recall that rolling resistance is a force experienced by a vehicle and is given by F=cmg where m is the mass of the vehicle and contents, c is the rolling resistance coefficient, and g = 9.8 m/s² is acceleration due to gravity. Suppose you are driving a large truck of mass 2500 kg with c = 0.02 to go and pick up some heavy items totaling 300 kg that are located at a warehouse. You are evaluating two different routes to take: route A is 30 km to the warehouse and 35 km back to your house; route B is 35 km to the warehouse and 30 km back to your house. Considering the amount of work (and therefore the amount of fuel) required to overcome rolling resistance, which is the better route? Route A is better because the driving distance from your house to the warehouse is smaller. Both routes are equally good because the work required to overcome rolling resistance doesn't depend on the distance. Both routes are equally good because the total driving distance is the same. Route B is better because the driving distance from the warehouse to your house is smaller.
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