Locomotive weighing 120 tons. which moves at a speed of 1 m / s, couples with a car with a mass of 60 tons

| May 9, 2021 | education

Locomotive weighing 120 tons. which moves at a speed of 1 m / s, couples with a car with a mass of 60 tons, which moves towards the opposite at a speed of 0.8 m / s. What will be the driving speed after clutching?

To find out the speed of a locomotive with a car after clutching, consider the equality (oncoming traffic, z-n of conservation of momentum): ml * Vl – mw * Vw = Vx / (ml + mw), from where we express: Vx = (ml * Vl – mw * Vв) / (ml + mв).

Data: ml is the mass of the locomotive (ml = 120 t); Vl is the initial speed of the locomotive (Vl = 1 m / s); mw is the mass of the car (mw = 60 t); Vв – the initial speed of the car (Vв = 0.8 m / s).

Let’s perform the calculation: Vx = (ml * Vl – mw * Vw) / (ml + mw) = (120 * 1 – 60 * 0.8) / (120 + 60) = 72/180 = 0.4 m / s.

Answer: The speed of a locomotive with a carriage, according to the calculation, will be equal to 0.4 m / s.



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