Question

A bucket of water is pushed from left to right with increasing speed across a horizontal surface. Consider the pressure at two points at the same level in the water.

The answer is "It is higher at the point on the left "

Could anyone explain it why?

Answer 1

Using Bernoulli's Principle,

  

where v= speed of fluid

z= height of the point at which we are considering the Pressure and equation

P= Pressure of the point.

= Density of fluid

Now if we consider the same level in the water and comparing there Pressure then from Bernoulli's Principle we can write,

(Since individually both are equal to same constants)

"z" will be same for same level and density will also be same for same fluid. Then

  ...............................(1)

Now its given that bucket of water is pushed from left to right with increasing speed. Thus speed at right is more than that at left, i.e.

v_l<v_r

Thus using above condition and equation 1, we can say that Pressure at point on left will be more than that on right, i.e,

    (Hence Proved)