A horizontal glass tube is filled with mercury. The tube thas three different cross sections as shwn: with `A_(1)=18cm^(2),A_(2)=8cm^(2)` and `A_(3)=9cm^(2)`. The piston is pushed so as to throw out mercury at a constant speed of v=6m/s at the other end of the tube. Assume that mercuty is an ideal fluid with density `rho_(Hg)=1.36xx10^(4)kg//m^(3)`. Take `g=10m//s^(2)P_("atm")=1.01xx10^(5)Pa` (i) Find the force needed to push the piston assuming that friction force between the piston and the tube wal is f=40N (ii) Find the height (h) of mercury column in the attached vertical tube. What happens to this height if the piston is pushed with smaller speed?

A horizontal glass tube is filled with mercury. The tube thas three di

1.	A horizontal glass tube is filled with mercury. The tube thas three different cross sections as shwn: with `A_(1)=18cm^(2),A_(2)=8cm^(2)` and `A_(3)=9cm^(2)`. The piston is pushed so as to throw out mercury at a constant speed of v=6m/s at the other end of the tube. Assume that mercuty is an ideal fluid with density `rho_(Hg)=1.36xx10^(4)kg//m^(3)`. Take `g=10m//s^(2)P_("atm")=1.01xx10^(5)Pa` (i) Find the force needed to push the piston assuming that friction force between the piston and the tube wal is f=40N (ii) Find the height (h) of mercury column in the attached vertical tube. What happens to this height if the piston is pushed with smaller speed?
Answer» Correct Answer - (i)371.2N (ii) 26cm. Height h will increase

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