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Pumped Energy Storage. A water reservoir has surface area A and depth D. The water flows down pipes and through turbines to generate electric power. The bottom of the reservoir is at height H above the turbines. The depth D of water in the reservoir decreases at a rate d. (a) Calculate the total gravitational potential energy U. (b) Calculate the available power P = |dU/dt|, i.e., available for conversion to electric power.DATA: A = 8 ×105 m2; D = 17 m; H = 103 m; d = 0.55 m per hour; density = 1.0 ×103 kg/m3.
Light at wavelength 589 nm from a sodium lamp is incident perpendicularly on a grating with 40900 rulings over width 82 mm
A particular guitar string is supposed to vibrate at 203 Hz, other than it is measured to actually vibrate at 208 Hz. By what percentage must the tension in the string be changed to get the frequency to the correct value.
In a tug of war on a slippery floor, Jose of mass M pulls on the rope and imparts an acceleration a to Juanita, of mass m. Calculate the tension if Jose's mass is 80kg and Juanita's mass is 60kg, and she accelerates toward Jose at .1m/s2
An object is placed 20 cm from a concave mirror of radius 19 cm. What is the magnification of the mirror
Two positive charges, each of magnitude 3. 10-6 C, are located a distance of 4 cm from each other. What is the magnitude of the force exerted on each charge
A 57 kg tightrope walker stands in the middle of a rope. Her weight makes the rope sag, evaluate the rope tension
A 10.0 kg crate is pulled up a rough incline with an initial speed of 1.5 m/s. The pulling force is 100. find the work done by the Earth's gravity on the crate
The positions at a, b and c are (40,450), (112,380), (600,150). Calculate the angles of Ufinal and Uinitial. Are the angles significantly different
A string is clamped at one end and the other end rests on a light, frictionless pulley with a mass hanging below it to provide a tension. What is the mass on the end of the string
Find out the moment of inertia of the wheel. Initially the wheel rotates with an angular speed , causing the block to rise with a linear speed = 0.33 .
A certain LCD projector contains a single thin lens. An object 24.0 mm high is to be projected so that its image fills a screen 1.86 m high. Determine the focal length of the projection lens
A rocket is launched from a 350 m high cliff at an angle of 25? with an initial velocity of 50 m/s. The rocket engine produces a constant horizontal acceleration of 5 m/s2. (g=9.8m/s2). Begin by drawing a diagram and determine:
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