How much heats up a $100$ -gram rubber ball (with specific heat $c = {1400}\,\mathrm{\frac{J}{kg \cdot ^{\circ}C}}$ ), which falls from a height of $4$ meters onto a table and bounces back to a height of $230 \,\mathrm{cm}$ ? Assume that the ball receives ${90}\,\mathrm{\%}$ of the amount of heat released on impact.

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