gas or electric version of certain car model and the mileage fee is the same for

Question

gas or electric version of certain car model and the mileage fee is the same for both. If you choose the electric vehicle, you will need to do about 190km extra driving since you need to stray from the main route to find electric charging stations. Assume the effective energy prices are constant at $O.108/MJ for gas and $0.063/MJ for electric. Further assume that the force due to rolling resistance is 280 N and the force due to air drag is 270 N. What total price in a. $40.82 for gas and $27.05 for electricity b. $108.11 for gas and $66.11 for electricity c. $83.16 for gas and $55.09 for electricity d. $48.51 for gas and $94.45 for electricity

Explanation / Answer

For gas

Work = net Force*distance

W= (280N+270N)*(1400000m) = 770*10^6 J = 770.0 MJ

Cost = W*rate = (770.0 MJ)*($0.108/MJ) = $83.16

For electricity

Work = net Force*distance

W= (280N+270N)*(1400000m+190000m) = 874.5*10^6 J = 770.0 MJ

Cost = W*rate = (874.5 MJ)*($0.063/MJ) = $55.09

Correct option = c

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