Calculating Total Momentum of Trolleys After Explosion

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    Explosion Momentum
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The discussion centers on calculating the total momentum of two identical trolleys after an explosion, given that they were initially at rest. The principle of conservation of momentum states that the total momentum before the explosion must equal the total momentum after. Since both trolleys have the same mass and experience the same acceleration in opposite directions, their momenta cancel each other out. Therefore, the total momentum of the system after the explosion is zero, as it was before the explosion. This conclusion aligns with the conservation of momentum principle.
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Homework Statement



In an explosion the two identical trolleys, each of mass m, were initially at rest. Find the total
momentum of the trolleys after the explosion.

Homework Equations



Conservation of momentum.

The Attempt at a Solution



Well, I assumed both trolleys to be particles in 2D-motion, and since they have the same mass and were both subjected to the same explosion, and thus were given the same acceleration, the total momentum should be zero. But, a friend of mine said that it could not be determined from the given. Who's right?
 
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what is the total momentum of the system ie both trolleys BEFORE the explosion?

conservation of momentum says it must be the same afterwards.

Since you know the systems momentum before then you know it after. The explosion causes the trolleys to fly apart at the same speed since they are identical but in opposite directions. total momentum = mtrolley * V + mtrolley * (-V) = 0
 
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