An explosion blows a rock into three parts. Two parts go off at right angles to each other. These...

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An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1  kg first part moving with a velocity of 12  m s^-1 and 2  kg second part moving with a velocity 8  m s^-1. If the third part flies off with a velocity of 4  m s^-1, its mass would be
(a) 7  kg
(b) 17  kg
(c) 3  kg
(d) 5  kg (2009)
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