Вопрос задан 03.09.2020 в 18:16. Предмет Математика. Спрашивает Нурмагомедов Рашит.

Каков будет тормозной путь автомобиля,если его скорость равна 90 км/ч а его масса 1700 кг

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Calculation of Braking Distance

To calculate the braking distance of a car, we need to consider its speed and mass. In this case, the car's speed is 90 km/h and its mass is 1700 kg.

The braking distance can be calculated using the formula:

Braking Distance = (Initial Speed^2) / (2 * Deceleration)

Where: - Initial Speed is the speed of the car before braking. - Deceleration is the rate at which the car slows down.

To calculate the deceleration, we can use the formula:

Deceleration = Frictional Force / Mass

Where: - Frictional Force is the force opposing the motion of the car.

Now, let's calculate the braking distance step by step.

Step 1: Convert Speed to m/s

First, we need to convert the speed from kilometers per hour (km/h) to meters per second (m/s). We can use the conversion factor of 1 km/h = 0.2778 m/s.

Speed = 90 km/h * 0.2778 m/s = 25 m/s

Step 2: Calculate Deceleration

To calculate the deceleration, we need to determine the frictional force. The frictional force depends on various factors such as the condition of the road, the type of tires, and the braking system of the car. Since we don't have this information, we will assume a typical deceleration value of 9.8 m/s^2, which corresponds to the acceleration due to gravity.

Deceleration = 9.8 m/s^2

Step 3: Calculate Braking Distance

Now, we can calculate the braking distance using the formula mentioned earlier:

Braking Distance = (Speed^2) / (2 * Deceleration)

Substituting the values:

Braking Distance = (25 m/s)^2 / (2 * 9.8 m/s^2) = 6.38 meters

Therefore, the braking distance of the car traveling at a speed of 90 km/h with a mass of 1700 kg is approximately 6.38 meters.

Please note that the actual braking distance may vary depending on various factors, such as road conditions, tire grip, and the efficiency of the braking system. The value calculated here is an approximation based on the given information.

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