How Can I Calculate Kinetic Energy in an Explosion?

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To calculate the kinetic energy acquired by each piece after an explosion that releases 7500J, both conservation of momentum and energy principles must be applied. The object breaks into two pieces, with one piece having 1.5 times the mass of the other. The total kinetic energy after the explosion equals the energy released, which is 7500J. The conservation of momentum must also be considered to relate the velocities of the two pieces. A combined approach using both conservation laws will yield the kinetic energy for each piece.
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Homework Statement


An explosion breaks an object into 2 pieces, one of which has 1.5 times the mass as the other. If the explosion released 7500J, how much kinetic energy did each piece acquire?


Homework Equations



conservation of momentum and energy

The Attempt at a Solution



I have tried using conservation of energy where the initial energy=7500J and no potential gravitational energy because i saw that that point of the explosion is y=0 and i said that Kinetic energy of object one plus kinetic energy of object 2=energy final right after the explosion.I just can't get anywhere
 
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You've done conservation of energy, but you ought to use momentum as well.
 

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