Question

Какова мощность двигателя если при силе тяги 50 килоньютонов автомобиль двигался со скоростью 20м/с 15 минут? Чему равна работа?

Answer 1

Работа = сила × пройденный путь А = F × s
мощность = работа : время N = A : t
Путь = время × скорость s = t× v

Ищем работу, подставляя формулу пути в формулу работы А = Ftv
СИ: 50 kH = 50 000H
15 мин. = 15 × 60 = 900 сек.
А = 50 000Н × 900 сек. × 20 м/с. = 900 000 000 = 900 МДж (мегаджоулей)
N = 9 000 000 000 Дж : 900 сек. = 1 000 000 Вт = 1 МВт ( мегаватт)
Ответ: мощность = 1 МВт
работа = 900 МДж

Answer 2

Calculation of Engine Power

To calculate the power of the engine, we can use the formula:

Power = Force × Velocity

Given that the force of traction is 50 kilonewtons (kN) and the velocity is 20 m/s, we can substitute these values into the formula to find the power.

Power = 50 kN × 20 m/s

To perform the calculation, we need to convert kilonewtons to newtons. Since 1 kilonewton is equal to 1000 newtons, we have:

Power = 50,000 N × 20 m/s

Now we can calculate the power:

Power = 1,000,000 N·m/s

Therefore, the power of the engine is 1,000,000 Newton-meters per second (N·m/s).

Calculation of Work

To calculate the work done by the engine, we can use the formula:

Work = Force × Distance

Given that the force of traction is 50 kilonewtons (kN) and the vehicle traveled at a speed of 20 m/s for 15 minutes, we need to convert the time from minutes to seconds. Since there are 60 seconds in a minute, we have:

Time = 15 minutes × 60 seconds/minute

Time = 900 seconds

Now we can calculate the distance traveled using the formula:

Distance = Velocity × Time

Distance = 20 m/s × 900 seconds

Distance = 18,000 meters

Finally, we can calculate the work done:

Work = 50,000 N × 18,000 m

Work = 900,000,000 N·m

Therefore, the work done by the engine is 900,000,000 Newton-meters (N·m).