A railroad car having a mass of 17.5 Mg is coasting at 1.5 m/s on a horizontal track. At the same time another car having a mass of 12 Mg is coasting at 0.75 m/s in the opposite direction. The cars meet and couple together.

Determine the speed of both cars just after the coupling.

The speed of both cars just after the coupling is 0.584 m/s.

Explanation:

Given that,

Mass of car = 17.5 Mg

Speed of car= 1.5 m/s

Mass of another car = 12 Mg

Speed of another car = 0.75 m/s

We need to calculate the speed of both cars just after the coupling

Using conservation of momentum

Where, m₁ = mass of one car

m₂ = mass of another car

v₁  = velocity of one car

v₂ = velocity of another car

Put the value into the formula

Hence, The speed of both cars just after the coupling is 0.584 m/s.

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