The car moves evenly and travels a distance of 0.7 km. At the same time, its engine develops a traction force
The car moves evenly and travels a distance of 0.7 km. At the same time, its engine develops a traction force, the modulus of which is 20kN. What mass of gasoline will the engine consume if its efficiency is 25%?
S = 0.7 km = 700 m.
Ft = 20 kN = 20,000 N.
q = 4.6 * 10 ^ 7 J / kg.
Efficiency = 25%.
m -?
The amount of thermal energy Q, which is released during the combustion of gasoline in the engine, is expressed by the formula: Q = q * m, where q is the specific heat of combustion of gasoline, m is the mass of gasoline that has burned.
Let us express the work of the car when driving A according to the formula: A = Ft * S, where Ft is the traction force of the car, S is the movement of the car.
Since efficiency = 25%, this means that A = efficiency * Q / 100%.
Ft * S = efficiency * q * m / 100%.
m = 100% * FT * S / efficiency * q.
m = 100% * 20,000 N * 700 m / 25% * 4.6 * 10 ^ 7 J / kg = 1.2 kg.
Answer: the engine will consume m = 1.2 kg of gasoline.