Question

Вагон массой 20т движется с начальной скоростью 54км/ч. Найти среднюю силу, дейсвующую на вагон, если известно, что вагон останавливается в течение 1мин 40секунд

Answer 1

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Answer 2

Calculation of the Average Force Acting on the Wagon

To calculate the average force acting on the wagon, we can use the equation:

Average Force = Change in Momentum / Time

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

Momentum = Mass * Velocity

Given: - Mass of the wagon = 20 tons = 20,000 kg - Initial velocity of the wagon = 54 km/h

First, let's convert the mass of the wagon from tons to kilograms: - 1 ton = 1000 kg - Therefore, the mass of the wagon is 20,000 kg.

Next, let's convert the initial velocity of the wagon from km/h to m/s: - 1 km/h = 1000 m/3600 s - Therefore, the initial velocity of the wagon is 54,000 m/3600 s = 15 m/s.

Now, we need to calculate the final velocity of the wagon. We know that the wagon comes to a stop, so the final velocity is 0 m/s.

Using the equation for momentum, we can calculate the change in momentum: Change in Momentum = Final Momentum - Initial Momentum

Since the final momentum is 0 (as the wagon comes to a stop), the change in momentum is equal to the initial momentum.

Now, let's calculate the initial momentum: Initial Momentum = Mass * Initial Velocity

Substituting the given values: Initial Momentum = 20,000 kg * 15 m/s = 300,000 kg·m/s

Therefore, the change in momentum is 300,000 kg·m/s.

Next, we need to convert the time taken to stop the wagon from minutes and seconds to seconds: - 1 minute = 60 seconds - Therefore, the time taken to stop the wagon is 1 minute 40 seconds = 60 seconds + 40 seconds = 100 seconds.

Finally, we can calculate the average force acting on the wagon using the equation: Average Force = Change in Momentum / Time

Substituting the values: Average Force = 300,000 kg·m/s / 100 s = 3000 N

Therefore, the average force acting on the wagon is 3000 Newtons.