A spacecraft coasts through deep space at due east when an internal explosion…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A 5000 kg5000\,\text{kg} spacecraft coasts through deep space at 200 m/s200\,\text{m/s} due east when an internal explosion separates it into two fragments. Fragment A has a mass of 2000 kg2000\,\text{kg} and is observed flying 300 m/s300\,\text{m/s} at 30∘30^{\circ} north of east. Determine the speed and direction of the 3000 kg3000\,\text{kg} fragment B immediately after the explosion.

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