Water is pumped at the rate of 0.075 m3/s from a reservoir 20 m above a pump to a free discharge 35 m above the pump. the pressure on the intake side of the pump is 150 kpa and the pressure on the discharge side is 450 kpa. all pipes are commercial steel of 15 cm diameter. determine (a) the head supplied by the pump and (b) the total head loss between the pump and point of free discharge.

(a) 408.16 m

(b) 10.87 m

Solution:

As per the question:

Height of the reservoir, h = 20 m

Pressure on the intake,

Pressure on the discharge,

Diameter of the pipes, d = 15 cm = 0.15 m

Now,

(a) The head supplied by the pump can be calculated as:

Applying Bernoulli's theorem:

where

Now, the above eqn becomes:

(b) To calculate the total Head loss between the pump and free discharge point:

Since,

Thus

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.