[SOLVED] 2D Projectile Motion
So, this should be a relatively easy problem but I am thoroughly stumped and haven't a clue where to start.
A mortar used to launch fireworks fires a shell with an initial velocity v_{i}=130\mbox{m/s} at \theta_{i}=60^o above the horizontal. The shell explodes...
Kicking a football 36m from the goal, which is 3.05m high. The ball leaves the ground with a speed of 20m/s at an angle of 53 degrees to the horizontal. By how much does the ball clear or fall short of clearing the crossbar?
delta y = v0cos(theta)delta t
The thing is, I don't know...
Homework Statement
A particle moves in the xy plane with constant acceleration. The particle is located at \vec{r} = 2\hat{i} + 4\hat{j} m at t=0s. At t=3s it is at \vec{r} = 8\hat{i} - 2\hat{j} m and has a velocity \vec{r} = 5\hat{i} - 5\hat{j} m/s
What is the particle's acceleration vector...
Hi. Everyone
I have stuck in the problem of 2D conduction problem by using matlab, here is the following question:
Consider a long bar of square cross section (1.0 m to the side) and of thermal conductivity 2 W/m.K. Three of these sides are maintained at a uniform temperature of 300°C. The...
Homework Statement
Say you have a mass in the center of a room (equilibrium (x,y) = (0, 0)) that is connected to one wall via a spring along -x axis and to another wall via a spring along -y axis (the axes are parallel with each wall, respectively.) If I know F(x,y) and the velocity at a...
Homework Statement
A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 33.0 m above sea level, directed at an angle θ above the horizontal with an unknown speed v0
The projectile remains in flight for...
Hello,
I have recently been interested in the problem of 2- and 3-dimensional elastic collisions. I just don't understand how to solve these problems analytically: in the 2D case we have 4 variables (x,y components of the velocity times 2 bodies) and only 3 equations (2 conservation of...
Homework Statement
A soccer player kicks a rock horizontally off a 40m high cliff. If the player hears the sound of the crash 3.00s later, what was the initial speed given to the rock? assume the speed of sound in air is 343m/s.
Homework Equations
Position of Y = -40m
Time = 3s...
Ok, I've been working on this for awhile and I can't seem to understand how to work it out. ANY insight would be greatly appreciated!
The problem: An erupting volcano (2.5 km tall) projects a boulder from a vent at an angle of 40 degrees to the horizontal direction. The rock lands 6.0 km away...
Homework Statement
A dive-bomber has a velocity of 280 m/s at an angle of \vartheta below the horizontal. When the altitude of the aircraft is 2.15km it releases a bomb, which subsequently hits a target on the ground. The magnitude of the displacement from the point of release of the bomb to...
Homework Statement
The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting the ball over his head, forcing him to move quickly away from the net (see the drawing). Suppose that you loft the ball with an initial speed of v = 18.5 m/s, at an angle of...
Homework Statement
In a tv set, an electron beam moves with horizontal velocity 2.7 x 10^7 m/s across the cathode ray tube and strikes the screen, 42 cm away. The acceleration of gravity is 9.8 m/s^2.
How far does the electron beam fall while traversing this distance? Answer in units of m...
An object is at a known point in a 2D plane, traveling at a known speed in a known direction
In the plane are other objects with known mass and location
With this information, how do you work out where the object will be located one second later?
Hi everyone, I'm pretty new to Physics Forums but it seems like a fairly friendly community. :)
Homework Statement
Determine the equation of the surface formed when the line x=3y is rotated about the x-axis.
Homework Equations
x=3y is the given line.The Attempt at a Solution
First I...
1. An eagle is flying horizontally at 6.0m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed doubles? (b) How much additional time would be required for the fish's speed to double again?
2. Maybe I'm thinking too hard about this...
Moments & couples 2D (for now) (cant move on :( )
Hey guys and girls, I am new to this forum but been looking at it for a while, its a great read and always a challenge here or there, but for now i was hoping to get a little help
:)
Homework Statement
The direction of the two thrust...
I'm almost done with my homework for the week but I'm stuck on these two questions. I've stated all the work I've done thus far below the problems. Any help would be greatly appreciated!
Problem #1:
A projectile is fired with an initial speed Vo at an angle theta to the horizontal...
I'm looking for some simple articles on 2D physics, Wilson loops, loop variables and similar. The purpose is to gain insights in LQG using lower dimensions.
Thanks for your help
divergence question
show that the divergence transforms as a vector under 2D rotations.
I am so confused abouth what this question wants me to do. Obviously the divergence is not invariant under rotations. Consider the divergence of the function f(x,y) = x^2 * x-hat. The divergence is...
Well I took physics last year(sophomore year in high school) and the kinametics section is extremely primitive because it had to be done without calculus. So we mainly just covered linear motion, F=ma stuff.My question is, if you apply a force to a point on a rigid body other than the center of...
Hello, I'm trying to write a 2D physics engine to learn the basic principles of how this all comes together. As a note, I'm not very adept in the field of physics. I took physics in college but it was very difficult for me.
This is a rather general question, and I'm not sure it has a simple...
Hi everyone, i was just wondering, when two objects of the same mass collide (in an elastic collision) the angles that they bounce off from should combine to 90 degrees. right? so I'm trying to prove this, but I'm a little stuck. i used vector component equations, but i arrived at a little...
Homework Statement
A snowball picks up speed and rolls of a barn roof angled at 40 degrees from horizontal. The edge of the barn is 15.0 m above the ground, and the snowball has a speed of 7.00 m/s as it leaves the roof. Ignore air effects. How far from the edge of the barn does the...
Motion in 2D! Help
Homework Statement
A stone is thrown upwards from the top of a building at an angle of 30 degree to the horizontal and with an initial speed of 20 m/s. The point of release is 45 m above the ground. (a) How long does it take the stone to hit the ground?
2. Homework...
Homework Statement
A sailboat is sailing north with a speed of 12m/s. A wind begins to blow and 72s later the boat's velocity is 18 m/s, 25 degrees north of west. What is the magnitude and direction of the boat's average acceleration during this interval? What is the magnitude and direction...
Well I am doing a minor project on dimensions and probablity.Please friends try this out:-----------
A coin of diameter d is tossed randomly onto the rectangular cartesian plane .
What is the probablity that the coin does not intersect any line whose equation is of the forms :-------
(a)...
(Repost of thread, wrong forum).
Hi all,
I'm writing a simulation of Chladni plates in Max/MSP and hope to use it in granular synthesis. I have found two formulas on the web; square and circular plate. I understand the square but the circular is quite confusing as I'm not a mathematician...
I know basic 2D coordinate geometry/conic sections and some vectors and calculus. What I am trying to find out is, if you rotate a conic about its axis by an angle of pi, you should get a surface in 3D. How would you go about rotating this though?
Homework Statement
Consider a 2 dimensional three state Ising model with ferromagnetic coupling J, where si = −1, 0, 1
in a magnetic field h on a triangular lattice. Construct a mean field equation for the magnetization m.
The Attempt at a Solution
I don't know how to start. 2d ising...
1. The problem I am having is that I am trying to pass a two dimensional array from my main function to a secondary function. I know it has to be call by reference and using the name of the matrix, "matrix" in my case should send the location. Also since it has more than one dimension there...
Homework Statement
Hi, new here. I am in regular physics and my teacher gave this crazy problem dealing with momentum. There is a ramp and one ball hits another ball that's not moving. My question is what would happen if the ball getting hit was higher or lower than the ball coming down the...
Although I have some major conceptual problems with the Fermi gas as treated in my solid state physics notes (see this thread: https://www.physicsforums.com/showthread.php?t=161222, I have attempted to solve this homework problem in an analogous manner to the solution for the 3D Fermi gas given...
Homework Statement
A rifle, in which the initial velocity of the bullet is 460m/s, is aimed at a small target 800 metres away at the same height as the rifle. At what angle above the ground must the rifle be pointed so that it hits the target?
**
x = horizontal distance
t = time
Vx =...
Homework Statement
A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 55.9° above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 29.5 m away. The rocket attains its launch speed in a negligibly short period of time, after which its...
Could someone help me understand the principles behind a few things in physics? I'm trying to build a little side-scrolling space game where you can bolt add-ons and engines to your ship. Each has its own mass (and in the case of engines, their own maximum thrust), and therefore affects the...
Homework Statement
A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp (Fig. 3-46). (a) With what minimum speed must he drive off the horizontal ramp? The vertical height of the ramp is 1.5 m above the cars and the horizontal distance he must clear...
Homework Statement
the coordinates of an object moving in the 2D space are given by x=2t and y=4t^2. what are the dimensions of the numerical coefficients 2 & 4, respectively? What are the objects velocity, speed and acceleration and the magnitude of the acceleration at t=0. what is the angle...
density is (mass / volume). But what is (mass / area)?
For example, if I wanted to know the mass of how much water would fill a jar, it would be mass = (volume of jar * density of water) = cubic length * (mass / cubic length.)
But imagine I knew how much a square meter of paint weighed...
I am trying to get from one 2D coordinate system to another 2D coordinate system. I found 2 corresponding points and each system. I did the following:
[a1 a2 ] * [ x1,y1 ] = [u1,v1]
[a3 a4] [ x2,y2] [u2,v2]
or A*x = u
if I use MATLAB to...
Hi all
I have searched on google already but couldn't find any good tutorials. I am talking about isometric projection from area (3D) to coordinate system (2D). Here is the ''easy'' example of the little house in 3D view http://img.photobucket.com/albums/v309/Andreii/3d2d.jpg .
I know I...
A rocket of mass M = 30kg is traveling with velocity V = 1500m/s horizontally. When it explodes into two chunks of mass m1 = 20kg and m2 = 10kg. The mass observed to be moving at an angle of (theta1) 20 above the horizontal with a speed of 1000m/s just after the explosion. Find the magnitude and...
HELP!: Laplace 2D equation on a square
Hi everyone,
I quite get the answer out for this question and i just feel like i have been beating my head into a wall for 4 hours! aghh...
http://img167.imageshack.us/img167/3579/picture12vv7.png
I get stuck when i try to solve the sub-problem...
I was trying to envision the universe from the standpoint of a photon and it seems that based on the Lorentz contraction:
L = L_{0}\sqrt{1-u^2/c^2}
since u = c this implies that, from the photons point of view, the length of the universe in the photons direction of travel contracts to zero...
Does anyone have a link for the derivation of the density of states for 2D electrons in an out of plane magnetic field, which also details collision broadening leading to the oscillatory density of states?
I would really appreciate it if you could help me out with this type of problem...I'm struggling a bit on the order of work that I need to do.
Problem: The ball is fired from the ground with an initial speed of 1.70 x 10^3 m/s at an initial angle of 55 degrees to the horizontal. Neglecting...
When baseball outfielders throw the ball, they usually allow it to take one bounce on the theory that the ball arrives sooner this way. Suppose that after the bounce the ball rebounds at the same angle as it had when released (Fig. P3.70) but loses half its speed.
(a) Assuming the ball is...
Why isn't this working! 2D Kinematics
Here is the problem:
Relative to the ground, a car has a velocity of 18.2 m/s, directed due north. Relative to this car, a truck has a velocity of 22.9 m/s directed 47.2 ° south of east. Find the (a) magnitude and (b) direction of the truck's velocity...
?: A rocket is fired up at 5 m/s^2. After a certain time, the engine fails and the rocket goes into freefall. It hits the ground 12 seconds after engine failing. Find V(final) and height that the rocket reaches.
the the way down...
Vf = Vi - at
set Vf = 0 b/c when it hits the ground, V =...
I'm looking for a little help on this one. I've been looking at it for hours.
An airplane whose air speed is 620km/h is supposed to fly in a straight path 35.0 degrees north to east. But a steady 95 km/h wind is blowing from the north. In what direction should the plane head?
I know...
I'm having a bit of trouble with this problem, I thought I knew how to solve it but can't get what is listed as the correct answer in the key.
An airplane starting from airport A flies 300 km east, then 410 km at 25.5° west of north, and then 150 km north to arrive finally at airport B.
The...