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If you dangle two pieces of paper vertically, a few inches apart (Fig. 10鈥44), and blow between them, how do you think the papers will move? Try it and see. Explain.


Short Answer

Expert verified

The papers will move towards each other when air is blown in between them.

Step by step solution

01

Understanding Bernoulli’s Principle

Bernoulli鈥檚 principle gives the statement that when the speed of fluid or wind increases in between two objects, the pressure in between them tends to decrease simultaneously.

02

Reasoning behind the motion of papers

When the piece of paper is dangled, they become two individual papers having some distance between them. As per Bernoulli鈥檚 principle, when the wind blows from these two pieces, the pressure between them will decrease.

The pressure in another environment of the paper remains the same. As the pressure between them decreases, it creates a pressure difference between the papers and surroundings.

This pressure difference tends the two pieces of paper to move towards each other to balance the pressure difference between the surroundings. Therefore, the two pieces will move inwards when the wind blows through them.

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Most popular questions from this chapter

How high should the pressure head be if water is to come from a faucet at a speed of \({\bf{9}}{\bf{.2\;m/}}{{\bf{s}}^{\bf{2}}}\) Ignore viscosity.

(I)Show that Bernoulli鈥檚 equation reduces to the hydrostatic variation of pressure with depth (Eq. 10-3b) when there is no flow\(\left( {{v_1} = {v_2} = 0} \right)\).

Intravenous transfusions are often made under gravity, as shown in Fig. 10鈥55. Assuming the fluid has a density of \({\bf{1}}{\bf{.00\;g/c}}{{\bf{m}}^{\bf{3}}}\)at what height h should the bottle be placed so the liquid pressure is (a) 52 mm-Hg, and (b) \({\bf{680\;mm - }}{{\bf{H}}_{\bf{2}}}{\bf{O?}}\)(c) If the blood pressure is 75 mm-Hg above atmospheric pressure, how high should the bottle be placed so that the fluid just barely enters the vein?

(II) A hydraulic press for compacting powdered samples has a large cylinder that is 10.0cm in diameter, and a small cylinder with a diameter of 2.0 cm (Fig. 10鈥51). A lever is attached to the small cylinder as shown. The sample, which is placed on the large cylinder, has an area of 4.0 cm2. What is the pressure on the sample if 320N is applied to the lever?

(III) A scuba tank, when fully submerged, displaces \({\rm{15}}{\rm{.7 L}}\) of seawater. The tank itself has a mass of \({\rm{14}}{\rm{.0 kg}}\) and, when 鈥渇ull,鈥 contains \({\rm{3}}{\rm{.00 kg}}\) of air. Assuming only its weight and the buoyant force act on the tank, determine the net force (magnitude and direction) on the fully submerged tank at the beginning of a dive (when it is full of air) and at the end of a dive (when it no longer contains any air).

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