Ahorizontal tube consists of a 7.0-cm-diameter pipe that narrows to a 2.0-cm-diameter throat. in the pipe, the water pressure is twice atmospheric pressure and the water flows with a speed of 0.40 m/s. what is the pressure in the throat, assuming that the water behaves like an ideal fluid? the density of water is 1000 kg/m3 , and atmospheric pressure is 1.01 × 105 pa.

Explanation:

= diameter of the pipe = 7 cm

= speed of water in the pipe = 0.40 m/s

= Area of cross-section of pipe =

= diameter of the throat = 2 cm

= speed of water in the throat

= Area of cross-section of throat =

Using equation of continuity

= atmospheric pressure = 1.01 x 10⁵ Pa

= Pressure in the pipe = = 2.02 x 10⁵ Pa

= Pressure in the throat

Using Bernoulli's theorem

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.