A plastic bathtub has a mass of 71 kg and can contain a maximum volume of water of 278 L (1000 L=1m3). Any excess water added will drain through an overflow hole to prevent the tub from being overfilled. ded Water enters the bathtub through a tap, at a speed of 1.2 m/s. The tap has an opening area of 5.1 cm2.
a. Show that the volume flowrate of water into the bathtub is about 0.61 L/s.
b. How long will it take the tap to fill the bathtub with 278 L of water?
The bath is filled to its maximum volume, and a person of mass 87 kg enters and sits in the bath, displacing 68 L of water through the overflow hole.
c.. What force does the filled bathtub with person in it exert on the floor of the bathroom?