Depth Definition and 340 Threads

Homework Statement Instead of calculating apparent depth (for example, a penny in a glass of water appears to be closer to the surface than it actually is), instead of finding the angle of refraction and using snell's law, can I use the following: Apparent Depth = Actual Depth x (n air / n...

What do people mean when they say learn math in depth, and not just memorizing formulae? How is "mathematics in depth" defined? I want to make sure I learn "in depth", so I try to play around with the rules of math, for example multiplication with exponents: How come a^m*a^n = a^m+n...

The New York Review of Books got Lee Smolin to do a 10-page review of a handful of recent Einstein books. It's definitely stereoscopic (3D). with a sense of the complex personality. nice to see the oversimplified popular images countered http://www.nybooks.com/articles/20279 Mark Trodden of...

A stone is dropped into a deep canyon and is heard to strike the bottom 13.4 s after release (the speed sound is 343m/s) What would be the percentage error in the depth if the time required for the sound to reach the canyon rim were ignored? I found the depth of the canyon =2298m then what...

there's a light source, S, sitting 2.60 metres below the surface of a pool 1.00 metres away from one side. I'm supposed to find the angle at which the light left the water and the difference between the apparent and actual depths of the light source. i attempted using Snell's Law with n...

The speed of sound in water is 1498 m/s. A sonar signal is sent from a ship at a point just below the water surface and 1.80 s later the relfected signal is detected. How deep is the ocean beneath the ship?

1. There is a 16.8 m tall oil-filled barometer. The barometer column is 80.0% filled w/ oil when the column of a mercury barometer has a height of 722mm Hg. If the density of mercury is 1.36 x 10^4 kg/m^3, what is the density of oil? Homework Equations P=Po + pgh D=m/vThe Attempt at a Solution...

I've heard this a lot - that you lose depth perception when looking out of only one eye. So I have to ask - is this true? When I try it everything looks exactly the same to me. :confused:

Homework Statement A beaker has a height of 40.0 cm. The lower half of the beaker is filled with water (n = 1.333), and the upper half is filled with oil (n = 1.48). To a person looking down into the beaker from above, what is the apparent depth of the bottom? Homework Equations...

Hi, I need have this problem check because I have a problem at the last question: the probability is 0.6 that a well driller will find a well of water at a depth less than 100 feet in a certain area. Wells are to be drilled for six new homeowners. Assue that finding a well of water at a...

I was fascinated by the Wired article describing such an elegant engineering solution for remote data collection deep in the ocean, Deep Glider: http://www.wired.com/news/technology/0,72794-0.html?tw=rss.index" But, having been out of engineering school a few decades and a bit rusty in my...

Homework Statement i)Derive the fact that hydrostatic pressure increases linearly with depth under the surface of a fluid (assumed to be of constant density). Comment on how your answer would change if density is also allowed to vary with depth. ii) Show that the force per unit volume in a...

Homework Statement A tank full of water has the shape of a parabloid of revolution with shape obtained by rotating a parabola about a vertical axis. a) If its height is 4 ft and the radius at the top is 4 ft, find the work required to pump the water out of the tank. b) After 4000 ft-lb of work...

If 1kg piece of steel hits steel surface with speed of 5m/s, how can you calculate the depth of the impact? Let's assume that the steel has 0.345 kN/mm2 material shear strength. Second question is that how much speed is needed to that same steel piece to penetrate 1cm thick steel sheet...

A steel rope consists of 100 rods. The diameter of each rod is 2 mm. The allowable rope stress is 130 N/mm^2. what maximal load can be lifted from a depth of 1000 m ? i use 100*130 N/mm^2 = 4*F(max) / pi * (4) in order to find F(max).Am i correct??how can i use the length given...

TWO questions! Distance to exp. 120dB AND Depth of Well I've got two questions here. I've worked on both of them, and now I'm stuck... 1)A stone is dropped from rest into a well. The sound of the splash is heard exactly 1.60 s later. Find the depth of the well if the air temperature is...

Hi! I have a problem. Say I have a wooden ball, 5 cm in diameter, 40 grams, I drop it from a height of 1 meter into some still water. Obviously, it will splash in and dip a little before buoyancy forces take over and bring it to the surface, I have never heard of a way, but maybe the...

this is something that has confused me for quiet some time. the mirror is just a few millimeters thick. then how is it that we can use it to see depths of metres and kilometers. what is it that enables a mirror to show greater depth than its own

Okay, I need some help yet again. Our teacher is giving us no hints on the "mystery problem" on our test tomorrow. "A boat sends a sonar down to find a submarine underwater. The boat estimates the velocity of sound under the water to be 1500 m/s. Howeer, they are wrong about that velocity...

Many textbooks derive the relativistic momentum from the penetration depth of a bullet in a resistive media, considering that momentum is proportional with the penetration depth. Do you know a transparent and correct way to the problem?

Most of my knowledge of physics comes from popular science books. I can't help it, I don't know where to turn, I KNOW they aren't real physics but I can't find anything else. Feynman's lectures, yes, but I understand about 10% of these and don't know why as they're supposed to be "introductory"...

I have the following problem: I measure a sinusoidally varying signal at a number of phase points. I then fit a sine curve to the data points using least squares. The fitting function looks like: f = a1 + a2 cos(phi) + a3 sin(phi) I want to evaluate the modulation depth from the measurements...

Fluids -- bringing together pressure, depth and friction Hi Again! More troubles with fluids. I was pretty sure I had this one. There is a freshwater pond density, D=1000 kg/m^3 depth = 15.1 m one of the sides is blocked off by a cliff. A nearly horizontal tube diameter =...

Hi, Just wondering, does anybody know of any texts or websites that go into the science behind magnetic monopoles in any depth? I'm thinking of writing a report on them as part of my A2 course but I can't find much information about them! (apart from the fact that nobody's detected them and...

In a ten foot by 6 inch tall container filled with water were to have another container secured in it midway but had the pressure of air in it, (the bottom is open), if the smaller container has a siphon into it could you siphon in more water, or would the pressure that keeps the water from...

Hi. I was trying to solve the following problems, but I just don't understand what principles/laws/concepts I'm supposed to be using. I hope someone can give me a hint as to where I should start. Thanks a lot for any replies. 31) Gayle runs at a speed of 4m/s and dives on a sled, initially...

Suppose the depth of the tide in a certain harbor can be modeled by y=21-5cos pi t/6, whre y is the water depth in feet and t is the time in hours. Consider a day in which t=0 represents 12:00 midnight. For that day, when are the first high tide and the first low tide and what is the water...

Guys can you suggest me some nice book on Mechanics of Solids! I find "Crandall and Dahl" doesn't go deeper in explaining basic concepts! I am looking for a which maintains balance between depth and applications!

At the bottom of the ocean at 10.92 km the pressure is 1.16*10^8 pa. If the pressure is calculated ignoring the change of density the pressure is 1.10*10^8 pa I have to calculate the water density at the bottom using the compressibility and the actual pressure. Since k= - Delta V/Vo*DeltaP...

Okay, I need a bit of a jump start with this question, I know how to find the Apparent depth normally, but I've never done actual depth and I can't really figure it out (*stupid*) 11. Frederika is sitting in her fishing boat observing a rainbow trout swimming below the surface of the water...

I have a few years of physics experience, and as I was thinking about a few things the other day, something about the concept of torque seemed a little weird to me. Simple Forces are easy to understand - gravity pulls down on an object, the ground pushes back up with an equal and opposite...

At what depth beneath the surface of a lake is the absolute pressure 6 times the atmospheric pressure of 1.01 x 105 Pa that acts on the lake's surface? pressure = density * g * h I thought to multiply 6 * 1.10 X 10^5 pa. Then divide that answer by 1000 kg/m3 (density of water, right?) *...

When using a wave tank to create waves that then pass through a gap in a barrier to create refraction that expands out the other side of the gap,, if the depth of the water is increased but the frequency is the same, will the amount of refraction increase or decrease? Basically, when depth in...

Hi there again, I am having problems answering this question A girl wishes to estimate the depth d of a straight mine-shaft. She drops a stone vertically down the shaft and finds that there is an interval of 6 seconds between the instant she dropped the stone at the top of the shaft and...

My physics textbook has a diagram that illustrates Apparent Depth... but I can't understand it. Specifically, why does the image appear where it is (at apparent depth)? I understand that as the light from the object moves from water to air, refraction occurs... but I'm thinking, shouldn't...

I was wondering you someone could help me with an alternative way of solving this problem. Just to help my algebra a bit. You drop a rock down a well. Find the depth of the well providing the sound of the splash reaches you in 1.5 seconds. First off, we know speed of sound is 343 m/s...

The problem is as follows: A 50-eV electron is trapped between negligible-width capacitors charged to 200V (each with an exit hole). How far does its wave function extend beyond the capacitors? I know the answer is 1.6 x 10^-11 m, but I cannot get to that. Any ideas? -Jason

Course help! Could PLZ on help on one thing. I don't know wot the following are and how they incorperate into my work course which is about meauring the depth of water in a tank using sound waves and messuring the time delay ogf the reflected wave. Resolution response time systematic bias or...

I would like someone to tell me the steps for working out this problem. Specifically I would like to know the Equations needed to use for the problem. Here is the problem. It seems very simple, but I seen to get lost in converting SI Units and then I get confused. A Piece of wood is 2cm...

For the past few thousand years or so, the philosophy of space has occupied a lot of time among philosophers. There is really no argument as to the traditional definition of "space" as it usually relates to volume, being length width and breadth. But the big debate has typically been over the...