A car with a mass of 60 tons, which moves at a speed of 2 m / s, is coupled with a stationary car with a mass of 40
| April 2, 2021 | education
A car with a mass of 60 tons, which moves at a speed of 2 m / s, is coupled with a stationary car with a mass of 40 tons. Determine the speed of the system after the automatic coupler.
To determine the speed of the formed system, it is necessary to apply the law of conservation of momentum: (m1 + m2) * V = m1 * V1 + m2 * V2.
System speed: V = (m1 * V1 + m2 * V2) / (m1 + m2).
Parameter values: m1 – mass of a rolling car (m1 = 60 t); V1 is the speed of the moving car before the automatic coupling (V1 = 2 m / s); m2 is the mass of a stationary car (m2 = 40 t).
Calculation: V = (60 * 2 + 0) / (60 + 40) = 120/100 = 1.2 m / s.
Answer: The formed system of two trains will move at a speed of 1.2 m / s.
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