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A rocket of M = 20 kg moves in a straight line upwards and explodes 50...

A rocket of M = 20 kg moves in a straight line upwards and explodes 50 meters above the ground, separating into two fragments that are launched horizontally. One of the fragments, with a mass equal to two-thirds of the mass of the rocket, falls ten meters from the launch point.
a) How far does the other fragment fall?
b) At what speed does the lightest fragment reach the ground?
c) If the explosion produces 300 J as heat, what total energy is released in the explosion?
Air resistance is not considered.

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