Water issues from a nozzle with an initial velocity v and supports a thin plate of mass m at aheight h above the nozzle exit. A hole in the center of the plate allows some of the water to travelupward to a maximum altitude 2h above the plate. Determine the mass m of the plate. Neglectany effects of water falling onto the plate after reaching maximum altitude. Let p be the densityof water.2h-d-Dm

The problem involves a water jet supporting a plate at a certain height. The water jet has an…

Answered: Water issues from a nozzle with an…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A vertical take-off and landing aircraft has a mass of 9000 kg. A constant upward thrust of 100 kN is applied to it. Determine the vertical distance it will travel when it reaches the velocity of 10 m/s. Clearly write down here what principle or law you use in this problem. Draw FBD of the aircraft here.
Consider the fall of a pole vaulting athlete as a projectile once the pole is released. The pole has a lake of 15.8 feet and once the athlete releases the pole they will find a mattress 2 feet high, 10 feet wide and 16 feet long, which protects them in the fall. If an athlete lets go of the pole when he was 13.4 feet above the ground with a velocity 17.7 ft / s at an angle of 55 degrees. Enter the Vertical initial velocity component, add the units in the result..
A liquid of density p is filled in a vessel of cross- sectional area A. The vessel has a hole of cross-sec- tional area a at a depth h below the free surface of the liquid. When the hole is unplugged, the liquid comes out of the hole with a velocity v. The volume of liquid coming out of the hole per second is Q. The reaction force exerted on the vessel by the emerging liquid is (assume A >> a) (a) av²p (b) 2aghp (c) ро@ (d) рQ /2gh
A toy car is propelled by water that squirts from an internal tank at a constant 6 ft/s relative to the car. The weight of the empty car is 0.4 lb and it holds 2 lb of water. Neglecting other tangential forces, determine the top speed of the car.
The 0.5-kg ball of negligible size is fired up the smooth vertical circular track using the spring plunger. The plunger keeps the spring compressed 0.08 m when s=0. Determine how far s (m) it must be pulled back and released so that the ball will begin to leave the track when 0 = 135°. R=2,4 m, k-486 N/m, g-9.81 m/s². Note: Please write only 2 digits after the comma! k (N/m) 135⁰ R (m)
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The momentum equations for a rotating shallow homogeneous fluid with a free upper surface (i.e. the shallow water equations) may be written as Du Dt Dv Dt Əh дх Əh ду = +fv-g for (+ f, where = = = -fu-g- where u(x, y, t), v(x, y, t) are the velocities on the free surface, and h(x, y, t) is the depth of the free surface. (a) Rewrite (1) and (2) by expanding the total derivative operator D Ə Ə = +2= +v Dt Ət əx ду (b) Use the two equations you developed in Part(a) to derive the evolution equation Əv - Oy. In other words, show that dy (1) (2) ?u Əv + дх ду { (S + ƒ ) = − ( 5 + £ ) ( ² Dt (3) being careful to explain the steps. [Hint: start by deriving the equation for and then use the fact that the Coriolis parameter f = f(y) only.]
When a person ice-skates, the ice surface actually melts beneath the blades so that he or she skates on a thin film of water between the blade and the ice. Assume that a skater of mass m, moving at a constant speed Vo, suddenly stands stiffly with skates pointed directly forward and allows herself to coast to a stop. Neglecting air resistance, how far will she travel (on two blades) before she stops? Give the answer X as a function of (Vo, m, L, h, H, M. Multiple Choice
The 10-kg parcel shown in the figure has initial velocity of I m/s. Suppose the surface is smooth. Determine the maximum compression of the clastic spring. The masses of the spring and the plate are negligible. The spring is initially unstretched. I m/s k = 3000 N/m 2 m
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