A aerial shell travels due north at when it is triggered to burst apart into two…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A 2.0 kg2.0\,\text{kg} aerial shell travels due north at 40 m/s40\,\text{m/s} when it is triggered to burst apart into two fragments while still in flight. The smaller fragment has a mass of 0.50 kg0.50\,\text{kg} and is observed to continue through the air at 60 m/s60\,\text{m/s} along a line 45∘45^{\circ} west of north. Air resistance and gravity may be neglected during the extremely brief explosion event. (a) Determine the north and east components of the momentum of the 0.50 kg0.50\,\text{kg} fragment immediately after the explosion. (b) Using the result from part (a), find the north and east components of the momentum of the larger fragment right after the explosion. (c) Calculate the speed of the larger fragment and state its direction of motion relative to due north.

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