A $9\mathrm{.}0-kg$ shell at rest explodes into two fragments, one with a mass of $1\mathrm{.}5$ kg and the other with a mass of $7\mathrm{.}5$ kg $.$

Part A

If the heavier fragment gains $100$ J of kinetic energy from the explosion, how much kinetic energy does the lighter one gain?

Express your answer in joules.

$K=$

$$

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