Swimming across a river physics problem




swimming across a river physics problem 350 m/s. (a)If you point directly East while swimming, what angle will your velocity vector A swimmer is trying to swim across a river. A student swims upstream ad istance of 1. meters Submit 4. The swimmer can swim at a speed of 1 m/s relative to the water (we’ll call this vswimmer). 5 m/s. Full solution to the swimming / running optimization problem (Last example given in class on Wednesday, July 28). The river flows 3 mph East (i. Determine… the speed of the current; the magnitude of the swimmer's resultant velocity; the direction of the swimmer's resultant velocity Problem Details. She arrives at a point 39. Two persons at the bank of a river start swimming simultaneously at the same speed with respect to water. 4) None of the above. This is College Physics Answers with Shaun Dychko. -1. As shown in the figure, the line makes an angle with the direction of the Homework Statement A swimmer is standing on the west bank of a river 600 m wide. The river is straight and has a constant width. For the situation of you swimming across the river from left to right at 1. com 301. If the width of the river is #w# , your swimming speed is #v_s# and the speed of the river is #v_r# , then you will cross the river in time #w/v_s# , ending up at a position #w v_r/v_s# downstream from where Modern Physics for Scientists and Engineers (4th Edition) Edit edition Solutions for Chapter 2 Problem 4P: A swimmer wants to swim straight across a river with current flowing at a speed of v1 = 0. (a) (6) A student who can swim with a speed of m/s in still water wants to get to the other side of a 400 m wide river whose waters flow downsream at 2 m/s. The current is 2 m/s. A student swims upstream a distance of 1. A swimmer is capable of swimming 0. 6 m wide. What is the ratio of the taken to swim across in the shortest time to that in swimming across over shortest distance. 1) Due North. Answer (1 of 3): See the fig. Let's call the two swimmers, A and B. 2 - 0. 9 m/s relative to the water. find the time taken by swimmer to cross the river. let's say that we know some I have some object and when it's outside of water its weight is so wait outside of water is I don't know 10 Newtons and let's say well then I submerge it in water I put on a weighing machine in water it's weight so let's call it weight in water is I don't know it's two Newtons so what must be going on here well the water must be exerting some type of upward force to classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. 6 m/s relative to still water. 5 meters per second with respect to the water, so I’ve written v subscript S for swimmer and then W for water. a) If the swimmer swims due east, what is the time it takes to get across the river? b) What is the minimum time to get across classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. The only factors that matter are the speed of the swimmer and the width of the river. (a) At what upstream angle must the swimmer aim, if she is to arrive at a point directly across a 55-m wide river whose current is 0. org for videos and supplemental material by topic. If you really need to show notation, you could show that: [tex] 1. How fast and at what angle must he be swimming? 6. The current in the river is 3. Here's the catch - If swimmer A wants to come back to the starting point, he must do so with zero drift. Physics Q&A Library Clara is swimming in a river. 00 m/s, use a standard set of coordinates where the x axis is horizontal, with positive pointing to the right, and the y axis is vertical, with positive pointing upward. She arrives at a point. This swimmer will always cross the river in 50 s regardless of the speed of the river. 0)^2} [/tex] I was solving many problems on relative velocity and observed that when the question asks, "what is the minimum time taken by the boat/man to cross the river. In order to swim, a swimmer must "push" against the water using a variety of techniques. There’s also a current that is perpendicular to the swimmer’s velocity and the current is the velocity of the water The key to solving this problem is to imagine that you're swimming across a block of water that's part of the river. 2 m/s in still water, how long does the trip take? Compare this with the time the trip would take if the water were still. A swimmer heads directly across a river swimming at 1. She arrives at a point 41 m downstream from the pointdirectly across the river, which is 84 m wide. Here is my word problem: Scott wants to swim across a river that is 400 meters wide. These physics lesson videos include lectures, physics demonstrations, and problem- Homework Statement A swimmer is standing on the west bank of a river 600 m wide. zYou are swimming across a 50m wide river in which the current moves at 1 m/s with respect to the shore. In the end someone watching from the shore would say that you were moving in a direction roughly North-East. e. See full list on physicsclassroom. Three swimmers can swim equally fast relative to the water. r. 37. a) If the swimmer swims due east, what is the time it takes to get across the river? b) What is the minimum time to get across The time it takes to cross a river by a swimmer swimming straight across is independent of the speed of the river. The last (33rd) trip is to bring the two children across the river together. (a) If she aims her body directly across a 75 m-wide river whose current is 0. 06 m/s [N29°E] Q. At what angle θwith respect to the line joining the starting and finishing points should she swim? velocity of a girl with respect to the bank of the river Page 6 PHYS 101: Lecture 3 Swimmer Example: Velocity is a Vector Ann needs to swim across a river. Another point B is located directly across A on the other side. 55 m/s, how far downstream (from a point opposite her starting point) will she land in (m)? A river is flowing from East to West at a speed of 5m/min. The key to solving this problem is to imagine that you're swimming across a block of water that's part of the river. How much time it will take for the swimmer to cross the river? 4. It is these forces which propel a swimmer through the water. Scott wants to swim across a river that is 400 meters wide. t A = l c − v + l c + v = 2 l c c 2 − v 2. For the shortest time case-. The velocity of the river is and is the same over the entire width of the river, staying constant. (a) If you wish to swim directly across the river, in what direction should you swim relative to the water in the river? Question: Physics: Kinematics A swimmer heads directly across a river swimming at 1. 55 m/s, how far downstream (from a point opposite her starting point) will she land in (m)? A swimmer heads directly across a river, swimming at 2 m/s relativeto the water. A man on the south bank of the river, capable of swimming at 10 metres/min. Your team comes upon a wide river that is flowing east. Relative to the water, Beth swims perpendicular to the flow, Ann swims upstream at 30 degrees, and Carly swims downstream at 30 degrees. At what angle θwith respect to the line joining the starting and finishing points should she swim? velocity of a girl with respect to the bank of the river a river is flowing from west to east at speed 5m/min a man on the south bank of river, capable of swimming at 10m/ min in still water wants to swim across the river to a point directly opposite in shortest time what direction shoukd he swim in - Physics - Motion In A Plane classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. Physics: Kinematics A swimmer heads directly across a river swimming at 1. (a)If you point directly East while swimming, what angle will your velocity vector Problem Details. a) The swimmer’s resultant velocity, relative to the river bank. (a) What is the speed of the river current? (b) What is the swimmer's speed relative to the shore? swimmer is capable to swim in a still water with a velocity V 1 = 1 m/s. 50 m/s? (b) How long will it take her? A swimmer heads directly across a river swimming at 1. 50 m/s? (b) How long will it take her? This is College Physics Answers with Shaun Dychko. from which he walks the distance CB with a speed= 3 classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. 79% (457 ratings) Problem Details. They have a race to see who can swim across a river in the least time. The current in the river is 0. from Ann’s left to Ann’s To cross the river in shortest distance, a swimmer should swim making angle θ with the upstream. 0)^2} [/tex] This problem has me stumped. Assume size of man to be negligible. Problem 3-56a: A swimmer headsheads directly across a river, swimming at 1. Problem 2 A river of width D ows at uniform speed V 0. You are swimming across a river which flows at a speed V relative to the shore. A swimmer heads directly across a river, swimming at 1. Question: Physics: Kinematics A swimmer heads directly across a river swimming at 1. A river has a steady speed of 0. A swimmer is trying to swim across a river. Let the velocity of river be v r and velocity of swimmer be v sr. At what angle θwith respect to the line joining the starting and finishing points should she swim? velocity of a girl with respect to the bank of the river It takes 4 trips to get one adult across the river. 22 m/s relative to the water. You wish to swim across a small river to your friend on the other side. in still ater, wants to swim across the river in shortest time. He aims his body directly across a 100 m wide river whose current has a velocity V 2 = 2 m/s. 6) with the river flow direction. from Ann’s left to Ann’s right). Ann can swim 5 mph with respect to the water. 2) Due North- East. You must determine the width of the river and the current speed (the speed of the water relative to the earth). 5 m/s 37 degrees west (relative to north). Swimmer A goes upstream and then comes back, and you have already calculated, which is simply -. 50 m down the river from his starting point, a dangerous waterfall is threatening to drown any unsuspecting swimmers. where θ is the angle made by swimmer w. If the width of the river is #w# , your swimming speed is #v_s# and the speed of the river is #v_r# , then you will cross the river in time #w/v_s# , ending up at a position #w v_r/v_s# downstream from where This problem has me stumped. If the student can swim at a speed of 1. 7 m/s A swimmer cross a river of width 480 m always aiming towards a point that is directly opposite to the start point. There are four major techniques, or styles, used for swimming. t the direction normal to the direction of flow of river. If the current in a river 200 m wide is 1. v upstream = (1. ÍHow many seconds does it take you to get across ? (a) (b) (c) 50 3 29= 2 m/s 50 m 1 m/s 8. 1 m/s, 10 m/s, 100 m/s, it doesn't matter. You swim across in such a way that your path is a straight perpendicular line across the river. In order to travel in a straight line and arrive directly across from her starting point she would have to compensate for the eastward flowing river. Who gets across the river first? A) Ann B) Beth C) Carly x y Ann Beth Carly A man can swim in still water with a speed of 3 m/s. where cosθ = (vsr2 – vr2)1/2 /vsr. The river ows at 0. and the river is flowing at 1m/s. There’s also a current that is perpendicular to the swimmer’s velocity and the current is the velocity of the water In order to travel in a straight line and arrive directly across from her starting point she would have to compensate for the eastward flowing river. Use this diagram to answer questions 37 through 39. 70 A river is flowing from west to east at a speed of 5 metres/minute. 2) a) 25 trips (6 adults x 4 trips + 1 more trip) b) 61 trips c) 93 trips d) 401 trips classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. Newton's Second Law of Motion: Force = mass x acceleration. 06 m/s [N29°E] 4. If she swims across in such a way that the time taken is the smallest possible, what distance D is she swept downstream of the point 011 the opposite bank directly across from her starting Word Problem Exercises: Pythagorean Theorem. At what angle should Ann swim to end directly to the other side of the river? Step 2: The vector diagram for Ann’s swim will look like this: x y River 3 mph Ann: can swim 5 mph Ann’s Destination q 8. The problem states that. the velocity of swimmer with respect to swimmer with respect to the river is 5 m s − 1 and river flow velocity is 3 m s − 1. Suppose that the swimmer's velocity relative to the water makes an angle of θ = 45 Question: Physics: Kinematics A swimmer heads directly across a river swimming at 1. A swimmer wants to cross a river, from point A to point B, as shown in the figure. He should swim in a direction [1] due north [2] 30 0 east of north [3] 30 0 west of north [4] 60 0 east of north 5. A girl wishes to swim across a river to a point directly opposite as shown. As the block of water moves down the river, it carries you with it, but that doesn't affect your swim with respect to the block of water . Homework Statement: A man swims across a river from to and back from to , following the line as shown in the figure below. 5)^2 - (2. 5 m/s and you can swim at 1 m/s in still water. Q. (Assume speed of swimming in still water is greater than than speed of river flow) Question 179556: Hi in math class we are doing stuff with triangles. A swimmer can swim at a speed of 1. She arrives at a point 41 m downstream from the point directly across the river, which is 74 m wide. 7 m/s He enters a 2 0 0 m wide river, having river flow speed = 4 k m / h r at a point A and proceeds to swim at an angle of 1 2 7 0 (sin 3 7 ∗ − 0. You are a member of a geological team in Central Africa. 00 km and swims back to the starting point. The distance between the two points is . The physics of swimming involves an interaction of forces between the water and the swimmer. A man on south bank of river, capable of swimming 10 m/min in still water, wants to swim across to river in the shortest time. The ocean currents there are flowing north a 1 m/s. You can swim at a speed v relative to the water. The distance d1 (from A to C) is 200 m, the distance d2 (from C to B) is 150 m, and the speed vr of the current in the river is 5 km/hour. The river is 30 meters wide and you begin to swim straight across it at a speed of 1 m/s. If she is swimming downstream at half of her maximum speed, how far will she swim in 11 minutes? Write your answer as a whole number. classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. OQ is shortest path. 59. That way, your swimming is not wasted in fighting against the current, but all the motion contributed by your swimming will be effective. Find the equation of locus of all possible points where man can reach at #t=1 sec#? 4. How much time it will take for the swimmer to cross the river? According to the problem, Speed of the river (v r) = 3 m/s (east) Velocity of swimmer (with respect to the river), (v s) = 4 m/s (north) (a) As the swimmer starts swimming due north, then y-component of his resultant velocity is 4 m/s (north) and x-component (produced by river flow) is 3 m/s (east). 20 m/s in still water, how long does the trip take? Compare this with the time the trip would take if the water were still. 3 m downstream from the point directly across the river, which is 78. 0 km and swims back to the starting point. 37 A river has a steady speed of 0. Determine… the speed of the current; the magnitude of the swimmer's resultant velocity; the direction of the swimmer's resultant velocity 6. The river is 100 m wide. 00 m/s [E], and the swimmer starts on the south bank and swims so that she is always pointing directly across the river, determine each of the following. She arrives at a point 40 m downstream from the point directly across the river, which is 80 m wide. Group Problems #3 Solutions Friday, August 26 Problem 1 2D Galilean Velocity Addition You are trying to swim directly East across a river which ows South. 5 m/s and so the river carries you downriver as you swim. He should swim. These same four trips repeat for each adult that needs to get across the river. You can swim at 3m/s and run at 5m/s, and you want to get to the person as quickly as possible. Time taken to cross river, t 2 = d/v sr cos θ. The swimmer lands on the river bank at a point C. 50 m/s. If the man swims in the direction OS then his resultant velocity will be in OQ direction and he will cross the river along shortest path OQ. . This swimmer is travelling across the river and a speed of 0. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. Then his resultant velocity will be 5. Example: You are standing on the bank of a river that is 100m wide, and see someone needing help 300m up the opposite shore. #x# and #y# axes are drawn along and normal to the bank of the river flowing to right with a speed of 1 m/s. Which means swimming 2. He should swim in a direction [1] due north [2] 30 0 east of north [3] 30 0 west of north [4] 60 0 east of north classical mechanics - Classic River swimmers problem from India - Physics Stack Exchange. 0 m/s in still water. Ann needs to swim across a river. Please visit twuphysics. ?" so the solution says that he should swim perpendicular to the river, and then time taken will be $\frac{w}{v}$. For shortest distance case-. Swimmers Aand B, each of whom can swim at speed v s relative to the water, decide to have a race beginning at the same spot on the shore. 5 = \sqrt {(2. 2. 3) Due North-East with double the speed of river. A man walked across the ship at 1 m/s in a direction perpendicular to the ship (30º west of north). The Across the River Problem Let's say you point your boat directly East across a river that is flowing North. As your boat moves itself through the water towards the East, the river is constantly pushing it to the North. Time taken to cross river, t 1 = d/v sr. Your swimming speed is 2 m/s with respect to the water. A swimmers path appears to be going directly across a river at 1. If we have two swimmers of the same weight and have them push off a Physics Problem - Boat Across a River? Posted on 2016-02-18 18:58:00 in Physics by ALFIE. General Questions. Vector Kinematics: Level 2-3 Challenges. She can swim at 2m/s in still water. 0m/s and the swimmer can swim 5. That equals 32 trips for 8 adults. 60 m/s in still water. A ship is heading 30º north of east at 10 m/s. The man starts swimming from origin #O# at #t=0# second. She can swim downstream up to a maximum speed of 82 meters per minute. swimmer is capable to swim in a still water with a velocity V 1 = 1 m/s. Aswims downstream a distance D relative to the shore, and immediately swims back upstream to the starting point. 80 m/s in still water. Newton’s second law can explain why some people swim faster than others. 55 m/s, how far downstream (from a point opposite her starting point) will she land in (m)? 8. 500 m/s. 5) m/s = 0. One person swims perpendicular to the stream in such a direction that he lands right opposite to his starting point. How far downriver in meters are you when you get to the Question: Physics: Kinematics A swimmer heads directly across a river swimming at 1. Swimmer B goes across the river, and then comes back. Bswims to a point diametrically A swimmer is capable of swimming 0. In swimming, the force produced by the swimmer is equal to the mass of the swimmer multiplied by the acceleration of the swimmer in the water. swimming across a river physics problem

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