A \(5.3-\mathrm{kg}\) ball is dropped from a height of \(2.0 \mathrm{~m}\) into a vat of water. The impact produces \(0.80 \mathrm{~J}\) of sound energy, the ball gains \(4.50 \mathrm{~J}\) of thermal energy from the impact, and \(21 \mathrm{~J}\) of thermal energy escapes from the vat after the impact.

(a) How much energy does the water absorb?

(b) If the vat is thermally insulated and the process repeated, how much energy does the water absorb?