Question

Помогите решить поезд движется со скоростью 90 км ч а теплоход со скоростью 36 км ч . Масса поезда 100 тонн. Отношение модуля импульса поезда к модулю импульса теплохода равно 5

Answer 1

P1\p2=5
p1\p2=m1v1\m2v2   5=100000*25\m2*10 Отсюда m2=100000*25\10*5=50000

Answer 2

Calculation of Impulse and Impulse Ratio

To solve this problem, we need to calculate the impulse of the train and the impulse of the boat, and then find the ratio between them.

The impulse of an object is defined as the product of its mass and velocity. Mathematically, it can be expressed as:

Impulse = Mass × Velocity

Given the following information: - Train speed: 90 km/h - Boat speed: 36 km/h - Train mass: 100 tons

We need to convert the speeds from km/h to m/s, as the SI unit for velocity is meters per second.

Converting the speeds: - Train speed: 90 km/h = 25 m/s - Boat speed: 36 km/h = 10 m/s

Now we can calculate the impulse of the train and the boat:

Impulse of the train = Mass of the train × Velocity of the train Impulse of the boat = Mass of the boat × Velocity of the boat

Let's calculate the impulses:

Impulse of the train = 100 tons × 25 m/s = 2500 ton·m/s

Impulse of the boat = Mass of the boat × 10 m/s

To find the mass of the boat, we can use the impulse ratio given in the question:

Impulse ratio = Impulse of the train / Impulse of the boat = 5

We can rearrange this equation to solve for the mass of the boat:

Mass of the boat = Impulse of the train / (Impulse ratio × Velocity of the boat)

Substituting the values we have:

Mass of the boat = 2500 ton·m/s / (5 × 10 m/s)

Simplifying the equation:

Mass of the boat = 2500 ton·m/s / 50

Mass of the boat = 50 tons

Therefore, the mass of the boat is 50 tons.

Summary:

- The impulse of the train is 2500 ton·m/s. - The impulse of the boat is 50 ton·m/s. - The mass of the boat is 50 tons.

Please note that the calculations provided are based on the information given and the assumptions made.