Question

Поезд массой 1500 т увеличивает скорость от 5 до 10 м/с в течении 5 мин.Найти силу,которая сообщила телу такое ускорение

Answer 1

M=1500т=1,5*10⁶ кг
t=5мин =300c
V₁=5 м/с
V₂=10 м/с
F-?
Импульс силы равен изменению импульса тела: Ft=ΔP, Ft=m(V₂-V₁),
F=m(V₂-V₁)/t, F=1,5*10⁶*(10-5)/300=0,025*10⁶ Н =25 кН

Answer 2

Calculation of Force

To find the force that caused the acceleration of the train, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):

F = m * a

In this case, the mass of the train is given as 1500 tons, which is equivalent to 1,500,000 kilograms. The initial velocity (v1) is 5 m/s, the final velocity (v2) is 10 m/s, and the time taken (t) is 5 minutes, which is equivalent to 300 seconds.

To find the acceleration (a), we can use the formula:

a = (v2 - v1) / t

Substituting the given values:

a = (10 m/s - 5 m/s) / 300 s

Simplifying:

a = 5 m/s / 300 s

Calculating:

a = 0.0167 m/s^2

Now, we can calculate the force (F) using the formula:

F = m * a

Substituting the values:

F = 1,500,000 kg * 0.0167 m/s^2

Calculating:

F = 25,050 N

Therefore, the force that caused the acceleration of the train is 25,050 Newtons.