Question

Трактор, толкая прицеп с силой 10 кН, придает ему ускорение 0,5 м/с. Какое ускорение придаст прицепу другой трактор, имеющий силу тяги 30 кН? Объясните плиз

Answer 1

Дано:
F1=10кН=10000Н
F2=30кН=30000Н
a1=0.5м/с^2
Найти:
a2-?
Решение :
F=m*a
m1=F1/a1=10000/0.5=20000кг
m1=m2
a2=F2/m2=30000/20000=1.5м/с^2
Ответ : 1.5м/с^2

Answer 2

Calculation of Acceleration

To calculate the acceleration of the trailer, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula for acceleration is:

Acceleration = Net Force / Mass

In this case, the net force acting on the trailer is the force applied by the tractor, and the mass of the trailer is not given. However, we can assume that the mass of the trailer is constant and cancels out when comparing the two scenarios.

Let's calculate the acceleration of the trailer when pushed by the first tractor with a force of 10 kN and an acceleration of 0.5 m/s²:

Acceleration1 = Net Force1 / Mass

Given: Net Force1 = 10 kN = 10,000 N Acceleration1 = 0.5 m/s²

Using the formula, we can rearrange it to solve for mass:

Mass = Net Force1 / Acceleration1

Substituting the given values:

Mass = 10,000 N / 0.5 m/s² = 20,000 kg

Now, let's calculate the acceleration of the trailer when pushed by the second tractor with a force of 30 kN:

Acceleration2 = Net Force2 / Mass

Given: Net Force2 = 30 kN = 30,000 N Mass = 20,000 kg (calculated earlier)

Substituting the values:

Acceleration2 = 30,000 N / 20,000 kg = 1.5 m/s²

Therefore, the second tractor will give the trailer an acceleration of 1.5 m/s².

Explanation

The acceleration of an object depends on the net force acting on it and its mass. When the first tractor pushes the trailer with a force of 10 kN, it imparts an acceleration of 0.5 m/s². This means that the trailer's speed increases by 0.5 meters per second every second.

When the second tractor, which has a greater pulling force of 30 kN, pushes the same trailer, it imparts a greater acceleration of 1.5 m/s². This means that the trailer's speed increases by 1.5 meters per second every second.

The greater force applied by the second tractor results in a greater acceleration of the trailer. This is because acceleration is directly proportional to the net force acting on an object. Therefore, a greater force will result in a greater acceleration.

Please note that this explanation assumes that the mass of the trailer remains constant in both scenarios.