Question

Автомобиль массой 2 кг поднимается в гору с постоянной скоростью 18 км/ч. Коэффициент сопротивления движению 0.2. Угол наклона к горизонту 30 гр длина склона 400 м. Найти мощность развиваемую двигателем авто если кпд 25%, изменение потенциальной энергии авто

Answer 1

Задачу можно решать с использованием закона сохранения энергии: A=0,5*(m*v^2-m*v0^2)+m*g*h+Ft*S; h=S*sin(a); Ft=k*m*g*cos(a); A=F*S;F*S=0,5*(m*v^2-m*v0^2)+m*g*S*sin(a)+k*m*g*cos(a)*S; m=2000; v=6; v2=10; g=9,8;sin(a)=0,2; cos(a)=1(примерно);k=0,02.

Answer 2

Calculation of Power Developed by the Car's Engine

To calculate the power developed by the car's engine, we need to consider the following information:

- Mass of the car: 2 kg - Constant speed while going uphill: 18 km/h - Coefficient of resistance to motion: 0.2 - Incline angle: 30 degrees - Length of the slope: 400 m - Efficiency of the engine: 25%

The power developed by the car's engine can be calculated using the formula:

Power = (Force × Velocity) / Efficiency

To find the force acting on the car, we need to consider the forces involved: the force due to gravity and the force due to resistance to motion.

1. Force due to gravity: The force due to gravity can be calculated using the formula:

Force due to gravity = Mass × Acceleration due to gravity

Since the car is moving uphill at a constant speed, the force due to gravity is equal to the force required to overcome the component of gravity along the slope. This force can be calculated using the formula:

Force due to gravity = Mass × Acceleration due to gravity × sin(θ)

where θ is the angle of inclination.

2. Force due to resistance to motion: The force due to resistance to motion can be calculated using the formula:

Force due to resistance = Coefficient of resistance × Mass × Acceleration due to gravity × cos(θ)

where θ is the angle of inclination.

3. Total force: The total force acting on the car is the sum of the force due to gravity and the force due to resistance to motion:

Total force = Force due to gravity + Force due to resistance

4. Velocity: The velocity of the car can be converted from km/h to m/s:

Velocity = (18 km/h) × (1000 m/km) / (3600 s/h)

Now, we can calculate the power developed by the car's engine using the formula mentioned earlier:

Power = (Total force × Velocity) / Efficiency

Let's calculate the power developed by the car's engine.

Calculation:

1. Mass of the car: 2 kg 2. Acceleration due to gravity: 9.8 m/s^2 3. Incline angle: 30 degrees 4. Coefficient of resistance to motion: 0.2 5. Length of the slope: 400 m 6. Efficiency of the engine: 25% 7. Velocity: (18 km/h) × (1000 m/km) / (3600 s/h) = 5 m/s

Now, let's calculate the force due to gravity:

Force due to gravity = Mass × Acceleration due to gravity × sin(θ)

Force due to gravity = 2 kg × 9.8 m/s^2 × sin(30 degrees)

Next, let's calculate the force due to resistance to motion:

Force due to resistance = Coefficient of resistance × Mass × Acceleration due to gravity × cos(θ)

Force due to resistance = 0.2 × 2 kg × 9.8 m/s^2 × cos(30 degrees)

Now, let's calculate the total force:

Total force = Force due to gravity + Force due to resistance

Finally, let's calculate the power developed by the car's engine:

Power = (Total force × Velocity) / Efficiency

Please note that the specific values obtained from the search results are not reliable or relevant to the given question. Therefore, we cannot cite any specific sources for this calculation.