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A 30 kg shell moving in free space explodes into three fragments of equal masses. After explosion, the fragments move apart under influence of their mutual forces of interactions. At some instant of time after the explosion, velocities of the fragments relative to an inertial frame are (3î + 2ĵ)m/s, –2î m/s and (5î – 5ĵ)m/s. If whole of the energy released in the explosion is converted into kinetic energy of the three fragments, how much energy has been released in the explosion? (1) 260 J (2) 290 J (3) 335 J (4) 410 J

A 30 kg shell moving in free space explodes into three fragments of equal masses. After explosion, the fragments move apart under influence of their mutual forces of interactions. At some instant of time after the explosion, velocities of the fragments relative to an inertial frame are (3î + 2ĵ)m/s, –2î m/s and (5î – 5ĵ)m/s.
 
If whole of the energy released in the explosion is converted into kinetic energy of the three fragments, how much energy has been released in the explosion?
(1) 260 J
(2) 290 J
(3) 335 J
(4) 410 J

Grade:12

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