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Ahl

Transition of energy/momentum

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I'm not sure how to explain this properly. I have an object affected by several forces, all from different angles, simultaneously. How do I find the resultant angle and momentum of the object? I'm asking this in mathematical terms, not in terms of X/Y/Z coordinates (if that makes it any clearer.)

Thank you in advance.

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If the forces are represented as vectors, then the total force equals the sum of the vectors.

You can then apply F=ma, or in this case a = Fm to find the acceleration, where F and a are both vectors and m is the (scalar) mass.

Then v = v0 + at. That is, resultant velocity vector = starting velocity vector + the acceleration vector over some time period. Momentum = mv.

As far as the "resultant angle," I assume you mean the direction of the velocity. You can use dot products to find the angle of the velocity with another vector, such as a unit vector along each of the axes, if that's what you're looking for.

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