Question

Масса легкого автомобиля равна 2 т, а грузового 8 т. Сравнить ускорения автомобилей, если сила тяги грузового автомобиля в 2 раза больше, чем легкового.

Answer 1

M1`=2 000 кг
m2=8 000 кг
F1=F
F2=2F
a1/a2-?
a=F/m 
a1=F/2000
a2=2F/8000
a1/a2=8000F/2000*2*F=2       a1=2a2

Answer 2

Calculation of Acceleration

To compare the accelerations of the two vehicles, we need to use the formula for acceleration:

Acceleration (a) = Force (F) / Mass (m)

Given that the mass of the light car is 2 tons (2000 kg) and the mass of the truck is 8 tons (8000 kg), and the force of the truck is twice that of the light car, we can calculate the accelerations.

Let's denote the force of the light car as F_light and the force of the truck as F_truck. We know that F_truck = 2 * F_light.

Using the formula for acceleration, we can calculate the accelerations of the two vehicles:

Acceleration of the light car (a_light) = F_light / m_light

Acceleration of the truck (a_truck) = F_truck / m_truck

Substituting the given values, we have:

a_light = F_light / 2000

a_truck = (2 * F_light) / 8000

To compare the accelerations, we can simplify the equations by canceling out the common factor of F_light:

a_light = 1 / 2000

a_truck = 1 / 4000

Therefore, the acceleration of the light car is 1/2000 and the acceleration of the truck is 1/4000.

Comparison of Accelerations

Comparing the accelerations, we can see that the acceleration of the light car is twice that of the truck. This means that the light car will accelerate faster than the truck when the force of the truck is twice that of the light car.

Please note that the above calculations assume that the forces are applied in the same direction and there are no other external factors affecting the accelerations of the vehicles.