An automatic sliding door takes 8.0 s to open. Its mean useful power output is 250 W and 400 J of energy is dissipated while it opens. What is the mean input power of the door?
250 W250\ \mathrm{W}250 W
650 W650\ \mathrm{W}650 W
200 W200\ \mathrm{W}200 W
300 W300\ \mathrm{W}300 W