Question

Поезд массой 2.000 т.,двигаясь прямолинейно,уменьшил скорость от 54 км/ч до 36 км/ч чему равно изменение импульса поезда?

Answer 1

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Answer 2

Calculation of Change in Momentum

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

Change in momentum = Final momentum - Initial momentum

The momentum of an object is given by the product of its mass and velocity.

Given: - Mass of the train = 2,000 t (tonnes) - Initial velocity = 54 km/h - Final velocity = 36 km/h

To calculate the change in momentum, we need to convert the mass and velocities to SI units (kilograms and meters per second, respectively).

Converting the mass of the train from tonnes to kilograms: 1 tonne = 1,000 kilograms So, the mass of the train = 2,000 t * 1,000 kg/t = 2,000,000 kg

Converting the velocities from km/h to m/s: 1 km/h = 1,000 m/3,600 s So, the initial velocity = 54 km/h * 1,000 m/3,600 s = 15 m/s And the final velocity = 36 km/h * 1,000 m/3,600 s = 10 m/s

Now we can calculate the initial momentum and final momentum:

Initial momentum = mass * initial velocity = 2,000,000 kg * 15 m/s = 30,000,000 kg·m/s Final momentum = mass * final velocity = 2,000,000 kg * 10 m/s = 20,000,000 kg·m/s

Finally, we can calculate the change in momentum:

Change in momentum = Final momentum - Initial momentum = 20,000,000 kg·m/s - 30,000,000 kg·m/s = -10,000,000 kg·m/s

Therefore, the change in momentum of the train is -10,000,000 kg·m/s.