Question

Поезд массой 200 тонн, двигаясь прямолинейно увеличил свою скорость от 36 км/ч до 72 км/ч. Найти изменение импульса поезда.

Answer 1

Да, будет не 2, а 2* 10^6

Answer 2

Calculation of Change in Momentum

To calculate the change in momentum of the train, we can use the formula:

Change in momentum = mass of the train × change in velocity

Given: - Mass of the train = 200 tons - Initial velocity = 36 km/h - Final velocity = 72 km/h

First, let's convert the mass of the train from tons to kilograms. Since 1 ton is equal to 1000 kilograms, the mass of the train is:

Mass of the train = 200 tons × 1000 kg/ton = 200,000 kg

Next, let's convert the velocities from km/h to m/s. Since 1 km/h is equal to 0.2778 m/s, the initial velocity is:

Initial velocity = 36 km/h × 0.2778 m/s/km/h = 10 m/s

And the final velocity is:

Final velocity = 72 km/h × 0.2778 m/s/km/h = 20 m/s

Now we can calculate the change in velocity:

Change in velocity = Final velocity - Initial velocity = 20 m/s - 10 m/s = 10 m/s

Finally, we can calculate the change in momentum using the formula mentioned earlier:

Change in momentum = Mass of the train × Change in velocity = 200,000 kg × 10 m/s = 2,000,000 kg·m/s

Therefore, the change in momentum of the train is 2,000,000 kg·m/s.