What is Two dimensions: Definition and 143 Discussions

Two-dimensional space (also known as 2D space, 2-space, or bi-dimensional space) is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point). The set ℝ2 of pairs of real numbers with appropriate structure often serves as the canonical example of a two-dimensional Euclidean space. For a generalization of the concept, see dimension.
Two-dimensional space can be seen as a projection of the physical universe onto a plane. Usually, it is thought of as a Euclidean space and the two dimensions are called length and width.

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  1. K

    How Does an Airplane's Climb Affect Package Drop Distance?

    Homework Statement An airplane with a speed of 59.6 m/s is climbing upward at an angle of 40° counterclockwise from the positive x axis. When the plane's altitude is 600 m the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the...
  2. C

    Two-Dimensional Springs: Potential Energy and Force Analysis

    Homework Statement The ends of two identical springs are connected. Their unstretched lengths l are negligibly small and each has spring constant k. After being connected, both springs are stretched an amount L and their free ends are anchored at y=0 and x= (plus minus)L as shown (Intro 1...
  3. M

    Kinematics - Acceleration in Two Dimensions. Stuck.

    Hi, I am also having trouble with the hockey puck question. A hockey puck rebounds from a board as shown in my diagram. The puck is in contact with the board for 2.5 ms. Determine avg acceleration of the puck over the interval. Vi = 26 m/s Vf = 21 m/s I tried the cosine law but I keep...
  4. W

    An elastic collision in two dimensions

    Homework Statement http://hypertextbook.com/physics/mechanics/momentum-two-three/an-elastic-collision-in-2d.pdf Homework Equations P = MV P= (r,θ) p'=mv' m1v1 + m2v2=m1v1' +m2v2' The Attempt at a Solution (2.00kg)(13.42 m/s) + (1.00kg)(12.73 m/s) = (2.00kg)(v1')+ (2.00kg)(21.95...
  5. C

    Collisions in Two Dimensions (Perfectly Elastic)

    Homework Statement Assume an elastic collision (ignoring friction and rotational motion). A queue ball initially moving at 4.3 m/s strikes a stationary eight ball of the same size and mass. After the collision, the queue ball’s final speed is 2.3 m/s . Find the queue ball’s angle with...
  6. L

    Help in Motion in Two Dimensions (Physics)

    I need help in seven exercises of physics, I just don't know what do... I'd like you to do one or more exercises with it's process so that I can analyze somehow the process and learn how do to it, I have an exam tomorrow and I have to study.. here are the problems: 1) An artillery shell is...
  7. W

    Calculating Soccer Ball's Speed at Goalie's Catch

    Homework Statement A soccer player kicks the ball toward a goal that is 16.8 m in front of him. The ball leaves his foot at a speed of 16.0 m/s and an angle of 28.0 degrees above the ground. Find the speed of the ball when the goalie catches it in front of the net. Homework Equations x =...
  8. I

    Motion In Two Dimensions Lab Question

    Question and Data What is the initial velocity of an object that rolls off a table and hits the floor below? Lab produced the following data: Table height: 86 cm Distance of object from table when it hits floor: 23 cm Relevant equations Instantaneous Speed: Vf = Vo + at [I think this is the...
  9. G

    Kinematics in two dimensions of golf ball

    A golfer imparts a speed of 30.3 m/s to a ball, and it travels the maximum possible distance before landing on the green. The tee and the green are at the same elevation. (a) how much time does the ball spend in the air? (b) What is the longest "hole in one" that the golfer can make, if the ball...
  10. B

    Problem in equations of kinematics in two dimensions

    Problem in equations of kinematics in two dimensions..please help Hi, I'm a first year physics student and am studying equations of kinematics in two dimensions and projectile motion. I was given the following question as homework to prep for my first exam this Wednesday. I'm pretty solid on...
  11. H

    Motion in two dimensions question. At wit's end.

    [SOLVED] Motion in two dimensions question. At wit's end. Hi, I'll try to keep this short. I have a Physics exam tomorrow and was doing some textbook questions and can't figure out this one problem. It's killing me! I have the answer (supplied by the back of the book), but just can't seem to...
  12. N

    What is the difference between movement in one and two dimensions

    Homework Statement Write the difference between movement in one dimension and movement in two dimensions,also which are the different types for each of these movements Homework Equations The Attempt at a Solution
  13. C

    How Does Wind Affect the Flight Time of a Plane on a Square Route?

    Homework Statement A plane flies a square route with each side 1500m in length (north, west, south then east) If a wind was blowing from the east at 20 km/h the entire trip, find the total time it will take for the plane to complete the journey, given that the plane is flying at 80 km/h...
  14. J

    Help with this physics problem (acceleration in two dimensions).

    A hockey puck rebounds from a board as shown in Figure 16. Figure 16 looks like this. http://img174.imageshack.us/img174/2571/fig16vr6.png The puck is in contact with the board for 2.5ms. Determine the average acceleration of the puck over the interval. ------- So I know you have to use...
  15. D

    Friction Problems In Two Dimensions

    Hello Everyone! I have recently had an assignment given to me, concerning "Friction Problems in Two Dimensions." The only problem is, that I have no idea where to start or how to solve the problem... I would extremely appreciate it if I could have some help to point me in the right...
  16. A

    What Is the Minimum Force Betty Must Apply in a Two-Dimensional Tug-of-War?

    Homework Statement In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at an angle of 141d (Alex and Betty's angle). The tire remains stationary in spite of the three pulls. Alex pulls with force Fa of magnitude 208 N, and Charles pulls with force...
  17. V

    Archived Relative Motion in Two Dimensions

    Homework Statement A light plane attains an airspeed of 500 km/h. The pilot sets out for a destination 800 km due north but discovers taht the plane must be headed 20.0 degree East of due North to fly there directly. The plane arrives in 2.00 h. what were the (a) magnitude and (b) direction of...
  18. I

    Kinematics in two dimensions problem

    [SOLVED] Kinematics in two dimensions problem Homework Statement Chapter 3, Problem 20 Incorrect. A car drives horizontally off the edge of a cliff that is 48.1 m high. The police at the scene of the accident note that the point of impact is 195 m from the base of the cliff...
  19. I

    Motion in Two Dimensions of marble

    A small marble rolls horizontally with speed v0 off the top of a platform 2.75 m tall and feels no appreciable air resistance. On the level ground 2.00 m from the base of the platform, there is a gaping hole in the ground. The hole is 1.50 m wide. For what range of marble speeds v0 will the...
  20. L

    Elastic collision in two dimensions

    Homework Statement On a frictionless surface, a 0.35 kg puck moves horizontally to the right (at an angle of 0°) and a speed of 2.3 m/s. It collides with a 0.23 kg puck that is stationary. After the collision, the puck that was initially moving has a speed of 2.0 m/s and is moving at an angle...
  21. B

    Motion in Two Dimensions (Vectors)

    Homework Statement One of the fastest recorded pitches in major league baseball, thrown by Billy Wagner in 2003, was clocked at 101.0 mi/hr. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically ( in feet ) by the time it reaches home plate, 60.5 feet...
  22. M

    Conservation of Momentum in two dimensions

    Hey Everyone, I've just signed up for this forum because I'm currently taking a correspondence course and there's one problem in particular that I'm having problems with and there isn't really anybody I can ask. Can anybody here help me with this? Two spacecraft s from...
  23. M

    What is the angle between the initial velocity vectors of the two children?

    Hi, I am having problems with a particular question it says: Two 30kg children, each with a speed of 4.0m/s, are sliding on a frictionless frozen pond when they collide and stick together because they have Velcro straps on their jackets. The two children then collide and stick to a 75kg man...
  24. P

    Conservation of Momentum in Two Dimensions involving a barge collision

    A barge with mass 1.50 X 10^5 kg is proceeding downriver at 6.2 m/s in heavy fog when it collides with a barge heading directly across the river (see the poorly drawn image, in link)http://img.photobucket.com/albums/v638/ravenatic20/untitled4.jpg ... The second barge has mass 2.78 X 10^5 kg and...
  25. I

    Question on motion in two dimensions:

    OK, I've been trying to get problems like these where you are given the angle (but not the velocity) of the direction in which a projectile is fired. I have tried as many ways as i could conceive using kinematics, but i keep getting stuck. If anyone could just give me an idea how to go about...
  26. M

    Dynamics Problem in two dimensions

    5. As a science fair project, you want to launch an 800g model rocket straight up and hit a horizontally moving targer as it passes 30 m above the launch point. the rockey engine provides a constant thrust of 15.0N. The target is approaching at a speed of 15m/s. At what horizontal distance...
  27. J

    Relative Motion of River in Two Dimensions

    A 340-m-wide river has a uniform flow speed of 0.84 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.8 m/s with respect to the water. There is a clearing on the north...
  28. G

    Calculating Distance and Velocity in Two-Dimensional Kinematics

    Ive been trying to get this problem. I already have the answers but I want to know how to solve it. An airplane with a speed of 77.5 m/s is climbing upward at an angle of 34.1 ° with respect to the horizontal. When the plane's altitude is 585 m, the pilot releases a package. (a) Calculate...
  29. E

    Equilibrium In Two Dimensions Help

    Hi, I have been trying to attempt this problem for quite some time and I would be very gracious if anyone could help me out. A clothes-line is attached to two fixed ends which are 10.0m apart. A pully of mass 40.0 kg hangs freely in the middle of the line. The sag at the centre is .20 m...
  30. C

    Analyzing Two-Dimensional Collisions: Solving for Final Velocities

    The Problem: The drawing shows a collision between two pucks on an air-hockey table. Puck A has a mass of 0.025 kg and is moving along the x-axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.050 kg and is initially at rest. The collision is not head-on...
  31. H

    Collisions in One and Two Dimensions

    Ok. I need help in how to even just start this problem. "Starting with an initial speed of 5.00 m/s at a height of 0.280 m, the 1.75 kg ball swings downward and strikes the 4.75 kg ball that is at rest. a) Using the principle of conservation of mechanical energy, find the speed of the 1.75...
  32. M

    What Is the Angle Between Two Objects' Velocities After an Inelastic Collision?

    After a completely inelastic collision, two objects of the same mass and same initial speed are found to move away together at 1/4 their initial speed. Find the angle between the initial velocities of the objects. I figured.. 2m(v/4) but then i just get lost... can someone help! thanks!
  33. P

    Motion in two dimensions and radial acceleration

    Hi all! Brand new to these forums. Hopefully I fit in. I'm in my first physics class ever this semester. Physics 1301 Heat and Mechanics. I'm having a hard time keeping up with everything. I'm looking for some help with a few questions of my homework, because I'm just stuck. 1)The radius of...
  34. Z

    Two-body elastic collisions in two dimensions

    I have a problem in which two objects collide (elastic) in two dimensions. I am given the vectorial components of the initial velocities of each object as well as their masses, which are different. I also know the final velocity of the smaller object, which is 0 (it comes to rest after the...
  35. T

    Conservation of momentum in two dimensions?

    Hi all, I'm having a tough time with a below question and would like some hints on where I've gone wrong if my answer is incorrect. I think the reason it's difficult is because it intuitively doesn't make sense, ...heading 90 degrees south after initially traveling due east, not to mention...
  36. J

    Motion in two dimensions question

    A car is on a circular oval-shaped track and at point F, the car is at rest. about 1/8th of the way around the oval from point F, there's a point G. Now i don't understand why the following two statements are incorrect. 1. The acceleration at point F is zero. As point G becomes closer and...
  37. F

    Why Does My Projectile Land Incorrectly After Launching Off a Ramp?

    This problem looks so simple but every answer I get is wrong... :eek: A skateboarder starts up a 1.0-m-high, 30 degree ramp at a speed of 7.0 m/s. The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down? EDIT : I realized...
  38. C

    How Do You Calculate the Height from Which a Tennis Ball is Struck?

    I have several similair questions like this but i don't know where to start? Mabey iam using the wrong equation > d=vnaught(t)+1/2at^2 one of the questions states that a tennis ball is struck such that it leaves the racket horizontally with a speed of 29.5m/s. The ball hits the court at a...
  39. Q

    Can You Calculate the Time Needed for a Model Rocket to Pass Through a Hoop?

    A 500 g model rocket is on a cart that is rolling to the right at a speed of 3.0 m/s. The rocket engine, when it is fired, exerts an 8.0 N thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 20 m above the launch point. i already have the answer...
  40. P

    Calculating Takeoff Speed for an Olympic Long Jumper

    Kinematics in Two Dimensions?? Hi, I was wondering if anyone could give a little help on this problem. I can't figure out where to begin! An Olympic long jumper leaves the ground at an angle of 23 degrees and travels through the air for a horizontal distance of 8.7m before landing. What is...
  41. F

    Visualizing Higher Dimensions: Exploring the Concept of Seeing in 4D

    My conception of a two dimensional image is of an object with its sides, its front and its back. The only example I can think of is of a mirror's reflection (assuming that photons are not particles and therefore have no depth). We can now mimic anything we see with a mirror, a high definition...
  42. S

    Electric field in two dimensions

    I have this problem which I am stuck on: Find an expression for the electric field at point P as in this figure P | | | | | |...
  43. E

    What if there was only two dimensions. Space and Time.

    What if there was only two dimensions. Space and Time. And those two dimensions each have three subdimesions. Space has length, width and height. Time has past, present and future. Each dimesion can be sepratly graphed to find a particles exact position. As I recall the uncertainty...
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