Compare the accelerations of a passenger car with a mass of 2 tons and a cargo mass of 8 tons, if the traction force of a passenger car is 2 times less than that of a truck.
m1 = 2 tons = 2000 kilograms – the mass of a passenger car;
m2 = 8 tons = 8000 kilograms – the mass of the truck;
F2 / F1 = 2 – the traction force of a truck is 2 times greater than that of a passenger car.
It is required to determine a1 / a2 – comparison of the acceleration of cars and trucks.
a1 = F1 / m1.
a2 = F2 / m2. Then:
a1 / a2 = (F1 / m1) / (F2 / m2) = F1 * m2 / (F2 * m1) = 8000 / (2 * 2000) = 8000/4000 = 2.
Answer: the acceleration of a car is 2 times higher than that of a truck.
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