The final combined speed of the two trains is 3.4 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two trains must be conserved before and after the collision.
Therefore we can write:
where:
is the mass of the first train
is the initial velocity of the first train, which is at rest
is the mass of the second train
is the initial velocity of the second train
is the final combined velocity of the two trains after the collision
We can now solve the equation for v, to find the final combined velocity of the two trains:
So, the final combined speed is 3.4 m/s.
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