A stationary spacecraft of total mass 5m breaks apart into three pieces in deep space

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A stationary spacecraft of total mass 5m breaks apart into three pieces in deep space. Two of the pieces each have mass 2m and leave the explosion region simultaneously, one traveling due east at speed v and the other due north at speed v. Which of the following gives the speed of the remaining piece (mass m) and its direction? (a) 2 v\sqrt{2}\,v directed 45∘45^{\circ} south of west (b) 22 v2\sqrt{2}\,v directed 45∘45^{\circ} south of west (c) 22 v2\sqrt{2}\,v directed 45∘45^{\circ} north of west (d) 4 v4\,v directed due west

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