Question

На сколько изменится скорость пассажирского самолёта массой 50 тонн за 25 секунд под действием постоянной силы 100 кН?

Answer 1

Система СИ: 
50 т = 50 000 кг
100 кН = 100 000 Н

Запишем второй закон Ньютона: 
             $a= \frac{F}{m}$
Ускорение - это изменение скорости с течением времени: 
             $a= \frac{з\vartheta}{зt}$
 Тогда изменение скорость будет:  
             $\frac{з\vartheta}{зt}=\frac{F}{m} \ \ \rightarrow \ \ з\vartheta = \frac{F\cdot зt}{m} = \frac{100 \ 000\cdot 25}{50 \ 000} =50 \ ( \frac{_M}{c} )$      

Answer 2

Calculation of Speed Change

To calculate the change in speed of a passenger plane under the influence of a constant force, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, the force acting on the plane is 100 kN (kilonewtons), and the mass of the plane is 50 tons. To convert the mass from tons to kilograms, we multiply it by 1000 since 1 ton is equal to 1000 kilograms.

Let's calculate the acceleration of the plane using the formula:

Acceleration = Force / Mass

Substituting the given values:

Acceleration = 100 kN / (50 tons * 1000 kg/ton)

Now, let's calculate the change in speed using the formula:

Change in Speed = Acceleration * Time

Substituting the calculated acceleration and the given time of 25 seconds:

Change in Speed = (Acceleration) * (25 seconds)

To find the change in speed, we need to convert the acceleration from meters per second squared (m/s^2) to kilometers per hour (km/h).

Let's calculate the change in speed using the given information.

Calculation Steps:

1. Convert the mass of the plane from tons to kilograms: - 50 tons * 1000 kg/ton = 50,000 kg

2. Calculate the acceleration: - Acceleration = 100 kN / 50,000 kg = 2 m/s^2

3. Convert the acceleration from m/s^2 to km/h: - 1 m/s^2 = 3.6 km/h - Acceleration = 2 m/s^2 * 3.6 km/h = 7.2 km/h

4. Calculate the change in speed: - Change in Speed = 7.2 km/h * 25 seconds = 180 km/h

Therefore, the speed of the passenger plane with a mass of 50 tons will change by 180 km/h in 25 seconds under the influence of a constant force of 100 kN.

Please note that the above calculation assumes that there are no other forces acting on the plane and that the force remains constant throughout the 25-second period.