QUESTION 2 An ideal (non-viscous, incompressible) fluid with a density of 1 kg/m
ID: 1731016 • Letter: Q
Question
QUESTION 2 An ideal (non-viscous, incompressible) fluid with a density of 1 kg/m3 flows through a pipe of uniform width. The fluid starts with a speed vo, and then it flows up a hill of height h as shown. A block with a mass of 1 kg starts with the same speed vo, and then it slides up the samehil. At the top of the hill, how does the speed of the fluid in the pipe compare to the speed of the block? Assume no mechanical energy is lost to friction. . A) Vfluid-Vblock B) Vfluid block C) vfluid Vblock Vfluid Vblock 1 Vo 7Explanation / Answer
when water flows up the pipe, it has to follow conservation of mass and ocnservation of energy as well
now, as the piep has the same diameter
from conservatin of mass we can say the speed of the fluid will not decreae
this is viable from conservation of energy if the pressure insude the pipe were to drop
in cas e of the block, it will lose energy in the form of kinetic energy a ther eis no pressure energy associated
and hence the block speed in the final will be lower than the speed of the fluid in the pipe
hence option b is correct