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Q.

A body of mass 8.0kg is travelling at 2.0m/s under the influence of no external agency. At a certain instant an internal explosion occurs, splitting the body into two chunks of 4.0kg mass each; 16 joules of translational kinetic energy are imparted to the two-chunk system by the explosion. Neither chunk leaves the line of the original motion. Determined the speed and direction of motion of each of the chunks after the explosion.

Are they saying the system imparts an additional 16 joules of energy from the explosion. Because the initial kinetic energy is equal to 16 joules, they could have just said kinetic energy is conserved.

I've tried using just conservation of kinetic energy and momentum and the results show that the two pieces continue on in the same direction with the same speed of 2.0 m/s, it doesn't seem like much of an explosion.

Any help with this would be great.

Thanks.