According to Oxford Dictionaries, a spit take is an act of suddenly spitting out liquid one is drinking in response to something funny or surprising. In spit takes, a gauge pressure is applied in the mouth, p1, so that liquid flows through pursed lips forming a column of liquid with radius r2 = 4 mm. If the liquid travels at v2 = 3.1 m/s outside the body, and if the column's area is 10x larger inside the mouth, what is p1 in Pa?

The pressure is

Explanation:

From the question we are told that

     The gauge pressure at the mouth is  

     The radius of the column is  

    The speed of the liquid outside the body is  

      The area of the column is  

       The area inside the mouth

Generally according to continuity equation

=>      

=>      

=>        

So

=>  

=>  

substituting values

Now the height of inside the mouth is  

Now the height of the column is  

Generally according to Bernoulli's  equation

Now   which is the density of water

        is the gauge pressure of the atmosphere which is  zero

 So

momentum of soft ball three times less than baskey ball