What is Two dimensional motion: Definition and 29 Discussions

A two-dimensional gas is a collection of objects constrained to move in a planar or other two-dimensional space in a gaseous state. The objects can be: classical ideal gas elements such as rigid disks undergoing elastic collisions; elementary particles, or any ensemble of individual objects in physics which obeys laws of motion without binding interactions. The concept of a two-dimensional gas is used either because:

(a) the issue being studied actually takes place in two dimensions (as certain surface molecular phenomena); or,
(b) the two-dimensional form of the problem is more tractable than the analogous mathematically more complex three-dimensional problem.While physicists have studied simple two body interactions on a plane for centuries, the attention given to the two-dimensional gas (having many bodies in motion) is a 20th-century pursuit. Applications have led to better understanding of superconductivity, gas thermodynamics, certain solid state problems and several questions in quantum mechanics.

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  1. P

    Confusion about Instructor's solution of HRK

    The instructor's solution goes like this: The initial speed of the ball is given by ##v_0=\sqrt{gR}## where R is the range.But this is true if the final position of the projectile is y=0 but in this case, y=-4.Though this doesn't affect much in this case,but for higher velocity and extreme cases...
  2. E

    Vectors and Two Dimensional Motion

    Homework Statement The velocity of an airplane is 425 km/h, in a direction of 40 degrees north of east. The wind is blowing at a velocity of 75 km/h northward. A. What is the resultant velocity of the plane? B. How long does it take for the plane to make a displacement of 2000 km? Homework...
  3. PKM

    How to find the Trajectory of a Particle

    Homework Statement The velocity of a particle at a certain point is given as \vec v=5(y\hat i - x\hat j). How to find the general equation of the path of the particle? Homework Equations Here, \frac{d\vec x}{dt}=5(y\hat i - x\hat j). The Attempt at a Solution As the velocity is not given as a...
  4. R

    How would you find Va and Vb in the problem below?

    Hi I am new the site and have to complete this physics summer work from a not so clear textbook. I am also new to a lot of the concepts and material. I was unsure on how i go about solving velocity a and b in this problem: any help is appreciated
  5. stvrbbns

    2D - What is the next point given this info.

    In a two-dimensional environment: Given: a starting point (x1,y1) an initial velocity (speed and 2D heading/direction) a constant rate of turning (yaw, since there is no roll or pitch in only two dimensions) a constant acceleration of the object from itself (not like gravity where the direction...
  6. oreo

    Calculating Initial Speed for a 45 Degree Angle Basketball Shot

    I got stuck in problem which states: "A basket ball player 2m high wants to make a goal from 10m from basket. If he shoots the ball at a 45 degree angle, at what initial speed must he throw the basketball. Height of basket is 3.05m." Please help.
  7. K

    How can simultaneous equations be used to solve two-dimensional motion problems?

    Problem: Jamilla throws a stone horizontally off a pier into the ocean at a velocity of 20 m/s. If the stone is 40.0m from the edge of the pier when it hits the water, how high above the water's surface was the stone when Jamilla threw it? Related Equations: displacement = velocity x time...
  8. A

    Does two dimensional motion imply conservation of angular momentum?

    Hello! I have a system composed by a particle attached to four springs that lie on the xy plane. The motion of the particle occurs on the xy plane. I wanted to know if the angular momentum is conserved. Thanks for your help :)
  9. L

    Two Dimensional Motion (Seemingly Simple)

    Homework Statement An object starts from rest at time t=0.00 s and moves in the +x direction with constant acceleration. The object travels 13.0 m from time t=1.00s to time t=2.00 s. What is the acceleration of the object? a) 5.20 m/s^2 b) 10.4 m/s^2 c) 8.67 m/s^2 d) 6.93 m/s^2 e) 12.1...
  10. A

    Relative speed with respect to mirror image in two dimensional motion

    Homework Statement A particle P is moving in a straight line with velocity u=10 m/s along the ground. Its line of motion makes angle θ=60° with the X axis drawn on the ground. A flat mirror oriented perpendicular to the ground as well as the X axis is moving with constant velocity of v=20...
  11. A

    Can a Stuntman Jump Safely into a Pool from a 50-Meter Building?

    Homework Statement A stuntman must jump in a pool from a 50.0 meter tall building. The pool is a horizontal distance of 21.0 meters from the base of the building. a) What is the initial velocity of the stuntman to be able to land in the pool? b) Do you think this velocity is reasonable for...
  12. A

    Calculating Car's Fall into Ocean from Cliff

    Homework Statement A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 25.0° below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of...
  13. M

    Vectors in two dimensional motion: Need help with starting

    Homework Statement A car travels 20.0 km due north and then 35.0 km in a direction of 60(degrees) west of north. Using a graph (that you must construct yourself as the book says... sorry for the inconvenience :/) and find the magnitude and direction of a single vector that gives the net effect...
  14. J

    How Do You Calculate Time in Horizontal Projectile Motion Without an Angle?

    [b]3. The Attempt at a Solution [/b I tried to use the X= Vixt + 1/2axt^2 => 0= 1/2axt^2+ Vixt + X To find the time since there isn't a horizontal distance given. Then I realized the initial velocity for x and y direction can't be the same , but I don't have the angle. Do i have to find...
  15. M

    What are the relevant equations for two dimensional motion in physics?

    I have a question in first year college physics about two dimensional motion. It isn't that I don't know the answer it's just that I am not sure that I started correctly and want to make sure I have the right idea so I understand the questions of this nature so I didn't understand exactly what...
  16. M

    Two Dimensional Motion Problem

    1. Tarzan, who weighs 790 N, swings from a cliff at the end of a 24.2 m vine that hangs from a high tree limb and initially makes an angle of 26.3° with the vertical. Assume that an x-axis points horizontally away from the cliff edge and a y-axis extends upward. Immediately after Tarzan steps...
  17. P

    Two-Dimensional Projectile Motion: Finding Vertical and Horizontal Distances

    Homework Statement a ball is thrown up to the top of a building 6 m tall. It is thrown at a 53 degree angle above the horizontal at a point 24m from the base of the building. The ball takes 2.20s to reach a point vertically above the wall. a) find the vertical distance by which the ball...
  18. H

    Another Two Dimensional motion question

    Homework Statement A second baseman tosses the ball to the first baseman, who catches it at the same level from which it was thrown. The throw is made with an initial speed of 17.0 m/s at an angle of 35.0° above the horizontal. (Neglect air resistance.) What is the horizontal component...
  19. H

    Finding Displacement and Distance for a Sailboat Moving at a Constant Speed

    Homework Statement A sailboat runs before the wind with a constant speed of 1.7 m/s in a dircetion 43.4 (degrees) north of west. how far west has the sailboat traveled in 35 min in km and how far north has the sailboat traveled in 35 min in km? Homework Equations i was using V=Vo + at...
  20. L

    High school physics basic question about two dimensional motion (WITH PICTURE)

    Stuck on this problem. I think acceleration is about 0.4m/s^2, but having the worst time trying to find direction. I think the sine or cosine law is supposed to be used?? Here's the question: http://i299.photobucket.com/albums/mm286/lanvin12/physics.jpg
  21. E

    Two dimensional motion - intitial velocity?

    two dimensional motion - intitial velocity?? so i have the vertical distance, 8.0 m, and the horizantal distance, 10.0 m, how do i find the initial velocity of the projectile??
  22. A

    How High to Aim Above a Target to Correct for Gravity?

    A gun shoots a bullet with a velocity of magnitude 409 m/s. The goal is to hit the target 1,290 meters away. How high above the target must you aim to correct for gravity? (Assume the gun and target are at the same height) I have attempted solving it but I am stuck at the point below...
  23. A

    How Fast Should a Rock Be Thrown to Hit a Runner at 93 Yards?

    I am stumped big time! Two runners start at the same point on a straight track. The first runs with a constant acceleration so that he runs 93 yards in 8 seconds. The second runner waits 3 seconds and then throws a rock at his opponent's head. If the head and the rock are at the same level...
  24. T

    Two dimensional motion problem.

    Homework Statement A baseball was hit at 45m/s at an angle of 45 degrees above the horizontal. How long did it remain in the air? How far did it travel horizontally? Hi everyone, I am i stuck :cry: on this problem any hints (formulas) to help me solve this problem would be appreciated...
  25. A

    Two dimensional motion with constant acceleration problem,

    Basketball player covers 2.80m horizontally in a jump. His center of mass moves through the space as following: his center of mass is at elevation 1.02m when he leaves the floor, it reaches a maximum height of 1.85 above the floor, and its at 0.900m when he touches down again...
  26. A

    Two dimensional motion problem: speed of sound as a factor?

    I am stumped by the following problem, I can't quite figure out what to do with the information about the speed of sound: A soccer player kicks a rock horizontally off a 31.0 m high cliff into a pool of water. If the player hears the sound of the splash 3.1 s later, what was the initial speed...
  27. M

    Calculate Horiz. Dist. of 2D Object at Angle w/ V0 & y

    Is there an equation that gives the horizontal distance traveled of an object projected at an angle (theta) with an initial velocity (V0) and given that the object lands (y) above/below where it was launched? Thanks
  28. S

    Two Dimensional Motion Projectile

    Hi. I haven't done physics for over a year and a half now, but my friend is taking the class. He asked for my help, but I really didn't know how to help him. Here are the questions... 1) Show how Delta y = (1/2)* (tan theta) * delta x and why Delta y= (1/2) * delta y prime 2) Show why...
  29. S

    Kinematics: two dimensional motion, and vectors

    Alright. My physics teacher sucks. So if the class isn't already difficult enough, I have someone that can't teach it to me to make it harder. I just failed a quiz today, [?] I just know I did. Now, I need help. [?] Can someone give me a link, or explain to me how vectors in two dimensional...