An explosion breaks a rock into three pa...

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of `12" m s"^(-1)` and the second part of mass 2 kg moves with `8" m s"^(-1)` speed. If the third part flies off with `4" m s"^(-1)` speed, then its mass is

3 kg

5 kg

7 kg

17 kg

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