Question

Мотоциклисты разгоняется из состояния покоя 2 секунды, при этом средняя затраченная мощность составляет 15 кВт Масса мотоциклиста с его машиной 150 кг. Определить расстояние, на котором осуществлялся разгон, работу, совершенную двигателем и среднюю мощность в конце 2 секунды.

Answer 1

время разгона t=2c

 средняя затраченная мощность составляет P=15 кВт=15000 Вт

РАБОТА  A=Pt=15 кВт*2c=30 кДж=30000 Дж

скорость в конце разгона  V=√(2A/m)=√(2*30000/150)=20 м/с

средняя скорость Vср=(20+0).2=10 м/с

расстояние  разгона S=Vср*t=10*2 =20м

Answer 2

Calculation of Distance, Work, and Average Power

To determine the distance covered during acceleration, work done by the engine, and the average power at the end of 2 seconds, we need to use the given information:

- Time taken for acceleration: 2 seconds - Average power during acceleration: 15 kW - Mass of the motorcyclist with the bike: 150 kg

To calculate the distance covered during acceleration, we can use the formula:

Distance = (1/2) * acceleration * time^2

Since the average power is given, we can calculate the acceleration using the formula:

Power = Force * Velocity

The force can be calculated using Newton's second law:

Force = mass * acceleration

Finally, we can calculate the work done by the engine using the formula:

Work = Force * Distance

Let's calculate the values step by step.

1. Calculate the acceleration: - We know that power is equal to force multiplied by velocity. - The force can be calculated using Newton's second law, which states that force is equal to mass multiplied by acceleration. - Rearranging the equation, we get acceleration = power / (mass * velocity). - Substituting the given values, acceleration = 15 kW / (150 kg * velocity).

2. Calculate the distance: - Using the formula Distance = (1/2) * acceleration * time^2, we can substitute the calculated acceleration and the given time to find the distance covered during acceleration.

3. Calculate the work done by the engine: - We already have the force (mass * acceleration) and the distance. - Using the formula Work = Force * Distance, we can substitute the values to find the work done by the engine.

4. Calculate the average power at the end of 2 seconds: - The average power can be calculated by dividing the work done by the time taken. - Substituting the calculated work and the given time, we can find the average power.

Let's calculate the values using the given information.

Calculation:

Given: - Time taken for acceleration: 2 seconds - Average power during acceleration: 15 kW - Mass of the motorcyclist with the bike: 150 kg

1. Calculate the acceleration: - acceleration = power / (mass * velocity) - acceleration = 15 kW / (150 kg * velocity)

2. Calculate the distance: - Distance = (1/2) * acceleration * time^2

3. Calculate the work done by the engine: - Work = Force * Distance

4. Calculate the average power at the end of 2 seconds: - Average Power = Work / time

Let's calculate the values step by step.

Calculation:

1. Calculate the acceleration: - acceleration = 15 kW / (150 kg * velocity)

2. Calculate the distance: - Distance = (1/2) * acceleration * time^2

3. Calculate the work done by the engine: - Work = Force * Distance

4. Calculate the average power at the end of 2 seconds: - Average Power = Work / time

Please provide the value of the velocity so that we can proceed with the calculations.