After a hot shower and dishwashing, there is "no hot water" left in the 50 -gal $(185-\mathrm{L})$ water heater. This suggests that the tank has emptied and refilled with water at roughly $10^{\circ} \mathrm{C}$ ( $a )$ How much energy does it take to reheat the water to $50^{\circ} \mathrm{C} ?(b)$ How long would it take if the heater output is 9500 $\mathrm{W} ?$