Question

Автомобиль за время t=10 с увеличил скорость движения от V1=0 до v2=36 км\ч. Масса автомобиля m=1.2 т Определите среднюю мощность двигателя автомобиля.Сопротивлением движению пренебречь.

Answer 1

P=A/t
A=FS
F=ma
S=(at²)/2
a=∆v/t
P=( ma*at²)/2t = (ma²t)/2 = (m∆v²)/2t = (1.2*10³ × 10²)/ 2 × 10 = 6000 Вт = 6 кВт
Ответ: P=6 кВт.
36 км/ч = 10 м/с

Answer 2

Problem Analysis

We are given the following information: - Initial velocity, V1 = 0 km/h - Final velocity, V2 = 36 km/h - Time, t = 10 s - Mass of the car, m = 1.2 tons

We need to determine the average power of the car's engine. We can assume that there is no resistance to the car's motion.

Solution

To find the average power of the car's engine, we can use the formula:

Average Power = Work Done / Time

The work done can be calculated using the formula:

Work Done = Change in Kinetic Energy

The change in kinetic energy can be calculated using the formula:

Change in Kinetic Energy = (1/2) * m * (V2^2 - V1^2)

Substituting the given values, we have:

Change in Kinetic Energy = (1/2) * 1.2 tons * ((36 km/h)^2 - (0 km/h)^2)

Converting the mass to kilograms and the velocity to meters per second:

Change in Kinetic Energy = (1/2) * 1.2 * 1000 kg * ((36 * 1000 m/3600 s)^2 - (0 m/s)^2)

Simplifying the equation:

Change in Kinetic Energy = (1/2) * 1.2 * 1000 kg * ((10 m/s)^2 - (0 m/s)^2)

Change in Kinetic Energy = (1/2) * 1.2 * 1000 kg * (100 m^2/s^2)

Change in Kinetic Energy = 60,000 J

Now, we can calculate the average power:

Average Power = 60,000 J / 10 s

Average Power = 6,000 W

Therefore, the average power of the car's engine is 6,000 watts.

Answer

The average power of the car's engine is 6,000 watts.