Physics

posted by .

How do I determine the horizontal distance traveled by water passing through a hole of a punctured water bottle. You must use bernoulli's and Kinematics, and find delta x in term of h and y. ( y = the height of water inside the bottle , h = the height of the hole to the floor )
My attempt bernoulli's equation says P+ 1/2 rv^2+ rgy=constant , kinematics says Vf^2 = Vi^2 + 2ax
therefore, combining them together ,, 1/2 r( Vi + sqrt 2ax )^2 + rgy.
But I think it is wrong , as I am suppose to find x in terms of h :S Help please , how can I find it?

  • Physics -

    The speed of the water leabving the hole is
    V = sqrt[2 g (y-h)]
    That comes from using the Bernoulli equation. y-h is the height of the water above the hole. Multiply V by the time that it takes the water to hit the ground, to get the horizontal distance travelled.

    (1/2) g t^2 = y
    t = sqrt(2y/g)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. chem

    when u pierce a hole in a bottle filled with water, but the cap is on, why doesnt the water spill out through the hole?
  2. Physics

    Use Bernoulli's equation to determine the velocity with which water will exit from a hole in a uniform cylinder when the cylinder is filled to a point 3.1 meters above the hole, assuming that the water in the cylinder moves with negligible …
  3. Physics

    A fountain has a cylinder with holes placed on the side at heights of 1 m and 2 m. The water level is the cylinder is kept at a height of 3 m by an input type. The water emerges from the holes and strikes the fountain pool at some …
  4. Physics

    7. A plastic cup, 15.0 cm in height, is filled to the rim with water. A small hole is punctured in the cup at a height 9.00 cm above the bottom of the cup and is allowing water to spew out. At what distance does the water land from …
  5. PHYICAL

    A small closed bottle is filled with water to adepth of 30 cm .A small hole located 10 cm above the bottom of the bottle is then opened .What is the speed of the water emerge from the hole in m\sex unit
  6. PHYICAL

    A small closed bottle is filled with water to adepth of 30 cm .A small hole located 10 cm above the bottom of the bottle is then opened .What is the speed of the water emerge from the hole in m\sex unit
  7. Physica

    A small closed bottle is filled with water to adepth of 30 cm .A small hole located 10 cm above the bottom of the bottle is then opened .What is the speed of the water emerge from the hole in m\sec unit
  8. PHYICAL

    A small closed bottle is filled with water to adepth of 30 cm .A small hole located 10 cm above the bottom of the bottle is then opened .What is the speed of the water emerge from the hole in m\sec unit
  9. physics

    A tank full of water has a height H = 12:5 m. A small hole is drilled into its side h = 2:5 m above the ground. What is the horizontal distance from the tank to the point where the water spout owing from the hole reaches the ground?
  10. Physics II

    A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported 8.75 m above the ground by a stand. The water level in the tank is 10.6 m deep. The density of the water in the tank is 1.00 g/cm3. A very small hole is …

More Similar Questions