A tin can is filled with water to a depth of 43 cm . A hole...

A tin can is filled with water to a depth of 43 cm . A hole 20 cm above the bottom of the can produces a stream of water that is directed at an angle of 34 ∘ above the horizontal.

Part A
Find the range of this stream of water.

Part B
Find the maximum height of this stream of water.

Solutions

Expert Solution

1) By the continuity equation, we have that the hole has a very small area compared to the cross-sectional area of the can, so the liquid will come out with a different speed of 0. We have that the continuity equation is given by the following expression:

, Where the first "P" is the pressure, the following is the kinetic energy associated with the fluid, and the third is the potential energy associated with the fluid.

We have that iniatially the speed V1 of the fluid is equal 0, its final potencial energy is also 0, and the pressure remains constant (1atm) all the time. Then:

This is the output speed of the fluid. Now to calculate the range of fluid we need to know how long it takes to touch the ground. We have the next cinematic ecuation for this:

, considering the gravity as positive because the fluid is accelerating for it.

Finally, by cinematic, the range of the steam is given by:

2) The maximum height of the steam is given by the following expression:

genius_generous answered 1 year ago

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