Question

A 950-kg car has a tank full of 22.3-kg of gasoline. Gasoline has an energy density of 5.3x107 J/kg. If a car uses 80-g of fuel to accelerate and the fuel is fully converted into kinetic energy, how quickly is the car moving after the acceleration?

Answer 1

The energy density of gasoline is = 5.3 * 10⁷ J/kg

The car uses m=80 g of fuel to accelerate.

Thus total energy supplied to the car is = (80 * 10^-3 ) * ( 5.3 * 10⁷ )

                                                                                  = 4.24 * 10⁶ J

The total energy is converted into kinetic energy,which is kinetic energy of car here.

Thus        where M is mass of car and v is its velocity.