Question

Автомобиль, имеющий массу 1т трогается с места и, двигаясь равноускоренно, проходит путь 20м за время 2 сек. Какую мощность должен развивать мотор этого автомобиля?

Answer 1

N=a\t=FS\t
N=1000*20\2
10кВт

Answer 2

Calculation of Power

To calculate the power required by the motor of the car, we can use the formula:

Power = (Force × Distance) ÷ Time

In this case, the force can be calculated using Newton's second law of motion:

Force = Mass × Acceleration

Given that the mass of the car is 1 ton (or 1000 kg) and the distance traveled is 20 meters in 2 seconds, we can calculate the acceleration using the formula:

Acceleration = (Change in Velocity) ÷ Time

Since the car starts from rest, the initial velocity is 0 m/s. The final velocity can be calculated using the formula:

Final Velocity = Initial Velocity + (Acceleration × Time)

Substituting the values, we have:

Final Velocity = 0 + (Acceleration × 2)

Simplifying, we get:

Final Velocity = 2 × Acceleration

Now, we can calculate the acceleration:

Acceleration = (Final Velocity - Initial Velocity) ÷ Time

Substituting the values, we have:

Acceleration = (Final Velocity - 0) ÷ 2

Simplifying, we get:

Acceleration = Final Velocity ÷ 2

Now, we can calculate the force:

Force = Mass × Acceleration

Substituting the values, we have:

Force = 1000 kg × (Final Velocity ÷ 2)

Finally, we can calculate the power:

Power = (Force × Distance) ÷ Time

Substituting the values, we have:

Power = (1000 kg × (Final Velocity ÷ 2) × 20 m) ÷ 2 s

Now, let's calculate the power using the given values.