Force and Work Unit Test

8 of 128 of 12 Items

Question
In which situation did the car achieve the greatest efficiency? (Assume the cars all have the same mass.)(1 point)
Responses

a car that traveled 80 kilometers on 5.0 liters of gas
a car that traveled 80 kilometers on 5.0 liters of gas

a car that traveled 50 kilometers on 4.0 liters of gas
a car that traveled 50 kilometers on 4.0 liters of gas

a car that traveled 70 kilometers on 5.0 liters of gas
a car that traveled 70 kilometers on 5.0 liters of gas

a car that traveled 90 kilometers on 6.0 liters of gas

1 answer

To determine which car achieved the greatest efficiency, we need to calculate the fuel efficiency of each car in kilometers per liter (km/L).

  1. Car 1:

    • Traveled 80 kilometers on 5.0 liters of gas.
    • Efficiency = \( \frac{80 , \text{km}}{5.0 , \text{L}} = 16 , \text{km/L} \)
  2. Car 2:

    • Traveled 50 kilometers on 4.0 liters of gas.
    • Efficiency = \( \frac{50 , \text{km}}{4.0 , \text{L}} = 12.5 , \text{km/L} \)
  3. Car 3:

    • Traveled 70 kilometers on 5.0 liters of gas.
    • Efficiency = \( \frac{70 , \text{km}}{5.0 , \text{L}} = 14 , \text{km/L} \)
  4. Car 4:

    • Traveled 90 kilometers on 6.0 liters of gas.
    • Efficiency = \( \frac{90 , \text{km}}{6.0 , \text{L}} = 15 , \text{km/L} \)

Now we can compare the efficiency of each car:

  • Car 1: 16 km/L
  • Car 2: 12.5 km/L
  • Car 3: 14 km/L
  • Car 4: 15 km/L

The car that achieved the greatest efficiency is Car 1, which traveled 80 kilometers on 5.0 liters of gas with an efficiency of 16 km/L.