Question

A 40%-efficient car engine accelerates the 1700 kg car from rest to 20 m. How much energy is transferred to the engine by burning gasoline?

A. 8×10 5 J
B. 1.6×10 5 J
C. 2.4×10 5 J
D. 3.2×10 5 J

Answer 1

The amount of energy transferred to the engine by burning gasoline is 11.2 * 10^6 J.

Step-by-step explanation:

To calculate the energy transferred to the engine by burning gasoline, we can use the formula:

Energy = Efficiency * Fuel Energy

The fuel energy can be calculated using the energy content of gasoline, which is about 140 MJ/gal. In this case, since 2.0 gal of gasoline is used, the fuel energy is 2.0 gal * 140 MJ/gal.

Now, we can substitute the given values into the formula:

Energy = 40% * 2.0 gal * 140 MJ/gal = 0.40 * 2.0 * 140 MJ

Simplifying the calculation gives:

Energy = 11.2 MJ

Finally, converting the energy from megajoules to joules:

Energy = 11.2 MJ * (10^6 J / 1 MJ) = 11.2 * 10^6 J

Therefore, the amount of energy transferred to the engine by burning gasoline is 11.2 * 10^6 J.