River Definition and 195 Threads

In the textbook used for my problem solving and proofs course, one of the questions asks me to develop a geometric or algebraic representation of various questions. Here is one that I'm having trouble with: "Three cannibals and three missionaries are together on one side of the river. They...

Somehow I managed to miss an anniversary from my childhood: It was 45 years ago last Sunday that the Cuyahoga River caught fire in Cleveland, Ohio: I was in high school at the time. My family didn’t live in the Cleveland metro area, but close enough that we mostly watched Cleveland TV...

Hi everyone, I've been having difficulties with this problem for a while. Here is my best attempt at solving it. If there's anything wrong, I honestly can't figure it out :). I would appreciate if anyone could go over it quickly and tell me if/what I did wrong. Homework Statement A boat...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement A rower's maximum speed in still water is 6.0 ft/s. He decides to cross a 60 ft. wide river (at his maximum speed), with an apparent heading of 30° north of east. The river's current (relative to the ground) is flowing south at a speed of 1.0 ft/s. Find the rower's speed and...

Homework Statement A boat part from the point P of the bank of a river, with width D, and that flows with a constant velocity VR, and moves with a constant velocity VB, directed towars a point Q, located on the other side of the river directly in front of P. If r is the instantaneous distance...

Homework Statement A stone is dropped into a river from a bridge at a height h above the water. Another stone is thrown vertically down at a time t after the first is dropped. Both stones strike the water at the same time. What is the initial speed of the second stone? Give your answer in...

Homework Statement My simplified version of the equation: Power plant proposes output power increase from 188MW to 535 MW Excess heat is dumped into river with smelt. Smelt can withstand a 3.44C temp increase River = 222ft wide at dump site. Do not know depth or cross section here...

Homework Statement You wish to row straight across a 63m wide river. You can row at a steady 1.3 m/s relative to the water, and the river flows at 5.7 m/s. In what direction should you head? How long will it take you to cross the river? The Attempt at a Solution Is the answer right? Could...

Suppose along a river which is descending a mountain.On the river there are 10 hydropower stations A,B,C...J suppose at distances of 10km each.Now each station producees 100MW Power.So we get 1000MW. My Question is 'In this way can we produce as much power as we require by increasing number of...

http://www.theverge.com/2013/11/28/5154240/north-dakota-river-ice-circle-is-50-foot-wide

Homework Statement The average flow rate in the Niagara River is 6.0 x 10^6 kg/s and the water drops 50 m over Niagara falls. If all this energy could be harnessed to generate hydroelectric efficiency at 90% efficiency, what would be the electric power output? Homework Equations P=mgh...

Homework Statement A man can swim through still water 4.2m/s. Suppose this man swims in a river with current 1.3 m/s. Find his average speed over a trip: a) across the river and back b) a certain distance downstream and back The Attempt at a Solution a) Here is a diagram I made: Left side of...

A river flows with a velocity of 3 m/s east. The river is 300 m wide. A boat is moving 10 m/s due north. If the river flow is not corrected for, how far will the boat have moved downstream by the time is reaches the far shore?

Homework Statement 40mm wide blood vessel. and flow is fastest in the middle of the vessel which is 3mm/sec. Blood flow speed is f(x)=3sin(pix/40) where x is the distance from the wall. and tumor cell on one side is swept into to blood and movies 5mm/s directly across the vessel. the tumor...

Homework Statement A boat crosses river, 240 m wide,which flows parallel to the straight banks with velocity v1 = 12i, while the velocity of the boat relative to the river is v2 = 5j where v1 and v2 are measure in m/s (i) find the magnitude of the actual velocity of the boat. (ii) find...

Homework Statement 280m wide river, destination 120m upstream, river current is 1.35 m/s downstream and the boat speed in still water is 2.70 m/s. What should the boat's heading angle be (relative to the shore)? Homework Equations V_x = Vcosθ V_y = Vsinθ x = V_0 t (starting points set to 0...

Homework Statement Two students are canoeing on a river. While heading upstream, they accidentally drop an empty bottle overboard. They then continue paddling for 1 h, reaching a point 2 Km farther upstream. At this point they realize that the bottle is missing and, driven by ecological...

Homework Statement A 400m wide river flows from west to east at 30 m/min. Your boat moves at 100m.min relative to the water no matter which direction you point. To cross the river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the...

Homework Statement I am in an introductory physics course. I am an aviation student, and we have to present on something related to our major. My group decided to go with an analysis on the Hudson River incident. I am trying to figure out the force of friction the water had on the...

Homework Statement A canoe has a velocity of 0.35 m/s southwest relative to the earth. The canoe is on a river that is flowing 0.65 m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river. The Attempt at a Solution 0.930985 is the...

Homework Statement Mary needs to row her boat across a 100-m-wide river that is flowing to the east at a speed of 1.0 m/s. Mary can row with a speed of 2.0 m/s. a) If Mary points her boat due north, how far from her intended landing spot will she be when she reaches the opposite shore? b)...

Homework Statement A boat is capable of a constant speed of 4 m/s in a river that is flowing at 2 m/s. If the captain wishes to land 10m downriver while crossing a 50m river, then at what angle should the boat be aimed? Homework Equations...

River bank problem! Need help urgently! :( Homework Statement The water in a river flows uniformly at a constant speed of 2.50 m/s between parallel banks 80.0 m apart. You are to deliver a package directly across the river, but you can swim only at 1.50 m/s. If you choose to minimize the...

Cooling a pond with river water?? Hi all, this is kind of a basic question and I am looking for a simple formula to use to illustrate how an idea is not practical. I worked almost this exact same problem years ago in a limnology class but can’t remember how I did any of it. I help manage a...

If a paddle of area, A, is submerged in a river of water-velocity, v, and (assumed constant) water pressure, P, the paddle at an angle, m, what is the force exerted on the paddle by the moving water of the river? the paddle is being held still from a bridge...

Homework Statement a student want to cross a river flowing east at a rate of 2.0km/hr in a boat on the south bank and arrive at point L on the north (north and west) side. Point L is 0.5km to the left or west from the starting point (point K - point K is on the south side). Point L is 0.5km...

Homework Statement Two boats, A and B, travel with a velocity of 4.90m/s across a river with a width of 72.9m. The river flows with a velocity of 2.50m/s. Boat A travels the shortest distance and boat B travels the shortest time. If both start at the same time, how much time will they take...

Gamma (Cp/Cv) of a gas Homework Statement An experimenter adds 980 J of heat to 1.75 mols of an ideal gas to heat it from 10.0 C to 25.0 C at constant pressure. The gas does 234 J of work during the expansion. Calculate gamma (Cp/Cv) for the gas. Homework Equations Cv=Cp-nR Gamma...

Homework Statement there is a straight river 40m wide. the water speed on the river can be expressed as the function f(x)=3sin(∏x/40) If a boat is to cross the river from point a to point b at a constant velocity of 5 m/s determine the angle the boater should head. Homework Equations...

Homework Statement A river is flowing 4.0 m/s to the east. A boater on the south shore plans to reach a dock on the north shore 30.0 Degrees downriver by heading directly across the river. What should be the boat's speed relative to the water? Also, what's the boat's speed relative to the...

Hi I am trying to work out the load applied to some anchors used to hold a car stationary in a man made river channel. I know it will be something to do with the surface area and the speed/volume of water. Can anyone help, admittedly I am a practical person not a acaedamic so layman terms...

Homework Statement A boat that can travel at 4.0km/h in still water crosses a river with a current of 2.0 km/h. At what angle must the boat be pointed upstream (that is, relative to its actual path) to go straight across the river? Homework Equations No equations were given but it...

Homework Statement A boat is crossing the river with a speed of 6.2 m/s east relative to the water. The river is flowing north at a speed of 2 m/s and is 750 m wide. a) What is the speed of the boat relative to the Earth? b) How much time is required to cross the river? c) How far downriver...

[b]1. An observer is next to a river and wants to calculate the distance across the river. He measures the angle between his observations of two points on the shore, one on his side and one on the other side, the angle coming out to be 28º. The distance between him and the point that is on the...

There's a rather comical attempt being made in Bangkok to push the Chao Praya river out to sea faster using anchored/moored boats with the engines/props running. Here's a news clip: 1,000 boats to push flood waters October 11 BANGKOK: -- On October 11, a fleet of some 1,000 boats would...

Homework Statement See attached. Homework Equations The Attempt at a Solution I originally began by assuming the rate was constant, obtaining the equations V_x^2 + V_y^2 = 1 \tan{\sigma} = \frac{V_y}{V_x} with the assumptions V_x(\sigma) = f(\sigma) V_y(\sigma) =...

Homework Statement A 110-m-wide river flows due east at a uniform speed of 3.3 m/s. A boat with a speed of 8.6 m/s relative to the water leaves the south bank pointed in a direction 37 degrees west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the...

1. A man points his rowboat north from A to B, straight across a river of width 100 m. The river flows due east. The man starts across, rowing steadily at 0.75 m/s and reaches the other side of the river at point C, 150 m downstream from his starting point. What is the speed of the river...

http://www.msnbc.msn.com/id/44343669/ns/technology_and_science-science/t/underground-river-discovered-beneath-amazon/?gt1=43001" I had never heard of anything like this before, except in Journey to the Center of the Earth. Is this something that has been theorized for some time, or is it...

So let's say we have a planet not too dissimilar in size to those in our Solar System. It doesn't have to be spherical. But let's say we want a river to flow round the object. We want the flow to last as long as possible. We can consider two cases seperately: in our Solar system...

Homework Statement Consider a river of width 1000 m flowing 30 degrees east of north with a speed of 10m/s at latitude 50 degrees north. The river bottom is flat. On which side of the river is the water deeper and by how much?Homework Equations the only correction i need to use is -2m(omega...

Homework Statement In the figure, a horse pulls a barge along a canal by means of a rope. The force on the barge from the rope has a magnitude of 7830 N and is at the angle θ = 18° from the barge's motion, which is in the positive direction of an x-axis extending along the canal. The mass of...

Homework Statement A 400m wide river flows from west to east at 30 m/min. Your boat moves at 100m.min relative to the water no matter which direction you point. To cross the river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on...

1. Jean camps beside a wide river and wonders how wide it is. She spots a large rock on the bank directly across from her. She then walks upstream until she judges that the angle between her and the rock, which she can still see clearly, is now at an angle of 30 downstream (as shown in the...

Homework Statement This is a question from Gelfand's Algebra: A boat traveling upstream from A to B can cover the distance in a hours. The boat can travel downstream from B to A in b hours. How long would it take to travel from A to B if there was no current? The Attempt at a...

Does the top of a flowing river curve convex because of Bernoulli's Principle? I was looking at a picture of a flooding river on Google Earth, and noticed that most of the debris was concentrated in a line down the middle of the river, corresponding to the area of most rapid flow. I know...

Homework Statement Tarzan tries to cross a river by swinging from one bank to another on a vine that is 10.0 m long. His speed at the bottom of the swing , just as he clears the surface of the river, is 8.0 m/s. Tarzan does not know that the vine has a breaking strength of 1.0x10^3 N. What...

A swimmer can swim at 2.0 m/s in still water. She attempts to swim due north across a river flowing eastward at 1.5 m/s. a) What is her velocity relative to the ground? b) Suppose she wants to arrive directly across from her starting point. In what direction must she head? What will be her...

A rowboat crosses a river with a velocity of 3.30 mi/h at an angle of 62.5 degrees north of west relative to the water. The river is 0.505 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore? Drew a staight line down in...