Question

While taking a shower, you notice that the shower head is made upof 50 small round openings, each with a radius of 2.00 mm. You alsodetermine that it takes 4.00 s for the shower to completely fill a1.00-liter container you hold in the water stream. The water forthe shower is pumped by a pump that is 5.10 m below the level ofthe shower head. The pump maintains an absolute pressure of 1.50atm. Use g = 10 m/s2, and assume that 1 atmosphere is 1.0 x 105Pa.

(a) At what speed does the water emerge from the shower head?
m/s

(b) What is the speed of the water in the pipe connected to thepump?
m/s

(c) What is the cross-sectional area of the pipe connected to thepump?
m2