Balls Definition and 555 Threads

I was recently thinking about the Heisenberg Uncertainty Principle which states that we can not know a subatomic particle's position and momentum at any instant. We can know one or the other measure but not both at the same time. The more we know about one, the less we know about the other...

Homework Statement A white billiard ball with mass mw = 1.43 kg is moving directly to the right with a speed of v = 3.29 m/s and collides elastically with a black billiard ball with the same mass mb = 1.43 kg that is initially at rest. The two collide elastically and the white ball ends up...

Homework Statement Twelve colored ping-pong balls are placed into a shopping bag and well mixed. There are two red balls, six blue balls and four green balls. One ball is selected at random, its color noted and then it is set aside. A second ball is then randomly selected and its color...

Given a Normed Linear Space, prove that all open balls are convex. A, a subset of the space is said to be convex if, for all pairs of points (x,y) in a, the point z = x + t(y-x) belongs to A. (t goes from 0 to 1).

Homework Statement A ball is thrown upward from the ground with an initial speed of 51 m/s; at the same instant, a ball is dropped from a building 38 m high. After how long will the balls be at the same height? The acceleration of gravity is 9.8 m/s2 . Answer in units of s. Homework...

Homework Statement If i have 3 balls of radii =2 and centres =(1,0,0),(0,1,0) and (0,0,1). Find the volume of the intersection of the three balls. Homework Equations The Attempt at a Solution The only method i know only works when the first ball has a centre at (0,0,0) and the...

Homework Statement Let x,y be in R^k, |x-y|=d. Prove there are an infinite number of solutions to |z-x|=|z-y|=r when 2r>d. Homework Equations I have done this problem for 2r=d and 2r<d. For 2r<d, the triangle inequality works nicely. For 2r=d, the equality gives me additional...

Homework Statement Prove that the sum B_r(\alpha)+B_s(\beta) is exactly the ball B_{r+s}(\alpha+\beta) Homework Equations open ball B_r(\alpha) of radius r about the center \alpha is \left \{\epsilon: |\alpha-\epsilon|<r\right\} The Attempt at a Solution I have difficulty of proving...

Homework Statement A juggler throws a ball at 10m/s and it takes 0.24 seconds to reach the ceiling which is 2.4m high. As this ball reaches the ceiling he throws a second ball also at 10m/s. How long after 2nd ball is thrown do they pass Homework Equations maybe just too late but I am...

Hi all, I need help with the following problem: The urn contains 5 black and 8 red balls. You close your eyes and remove balls from the urn one by one without replacement. What is the probability that the last ball is black? This looks to me like it is a hypergeometric distribution...

Hi, i have a couple of problems that I am not sure about (i get the wrong answer for particular cases because the probability add up to more than 1) say you have 50 balls and 20 bins, you throw all 50 balls into the bins, with equal probability of a ball landing in each bin 1. what is the...

Does anyone know how to solve this game: http://www.puzzlechoice.com/pc/IQ_Gamex.html as in the highest and second hisghest scores. I am sure there's group theory somewhere, but I never got it... :-/

1. I just want to make sure I understand the concept correctly and that I have provided the correct explanation and understanding...therefore the image of the problem is not important "Figures 1 and 2 show the paths followed by two golf balls, A and B. In each figure, does Ball A spend...

When you throw a ball, why does it spin? Does it have to do with the air resistance? Obviously, you can spin it when you throw it, but it seems to spin even if you just "push" it up. Is it that I'm just not being precise here? Is this related at all to why it's easier to balance on a bike...

HI, sorry about the english can you help me with this question? box initially contains 10 black balls and 10 white balls. The following experiment is repeated indefinitely 20 times : A ball is drawn from the box; if the ball is black it is put back in the box, otherwise it is left out. what...

Hi folks, I'm imagining the following situation: Two balls lie at the base of a hill, side by side, not touching. One is larger and masses more than the other. They are made from the same material. Suddenly, they both experience the same acceleration towards the hill. They don't ever come...

We are demolishing some old cryogenic tanks and inside them were large metal balls. The metal is very hard and dense and has a yellowish tint. The tanks are large upright and cylindrical. Need information on the purpose of the balls and what material(s) they might be made of. I would...

Homework Statement Two balls are thrown with equal speeds from the top of a cliff of height h. One ball is thrown at an angle of α above the horizontal. The other ball is thrown at an angle of β below the horizontal. Show that each ball strikes the ground with the same speed. (Do this on...

Two balls problems...please help! Homework Statement Two particles are thrown vertically upwards along the same line with the same initial velocity u=30m/s, but at different times. The second particle is thrown t seconds after the first. What should be the minimum value of t so that the...

I have 5 different types of balls made out of different materials, all similar but not identical in weight, and all of the the same size. What is the best mechanism to sort these by weight? I can use any mechanical device to sort these balls, such as seesaws, etc. What is the most efficient way?

Homework Statement Two balls are thrown with equal speeds from the top of a cliff of height h. One ball is thrown at an angle of alpha above the horizontal. The other ball is thrown at an angle of beta below the horizontal. Show that each ball strikes the ground with the same speed, and find...

Homework Statement Ball 1: 3kg, 7 m/s initially Ball 2: 4kg, V m/s initially Ball 3: 5kg, 10 m/s initially Find V if the system collides inelastically and moves off at 2 m/s at 5 degrees above the horizontal. Homework Equations p + p = p + p (in both x and y directions) The...

Hey guys, how are you? :D I’m doing an experiment on a squash ball where I drop it from a 0.5m height and work out its "bounced height" to determine energy lose with the table. By per=mgh When dropping it from 0.5 m I get a result of 0.125m on the first bounce. However when I tried it...

Homework Statement You have an urn that contains n balls labeled with the natural numbers {1,2,3,...,n} and you extract n balls from the urn (with the condition that a ball may not be returned to the urn once drawn). You have to determine the distribution of X=(X1,X2,...,Xn), where Xk is...

Billiard Balls with "English" I was just watching the classic episodes of The Mechanical Universe, and one scene explained how billiard balls rebound at right angles. I understand that. But I wonder how http://en.wikipedia.org/wiki/Glossary_of_cue_sports_terms#English" causes the effects it...

Homework Statement I have 2 equally charged pith balls suspended by a string repelling each other at a 28 degree angle. I know that Tension, Gravity, and the electostatic force are all acting. I found tension by creating a force diagram. T= cos14mg. I also found g=mg. I'm having trouble...

This should be a pretty simple question for someone out there, If you have a ramp with the same height, and the same angle, and you take two spheres of different size, but identical materials, and you rolled them down this incline. Which would reach the bottom first if rolling friction is...

Hello, I feel a little out of place here, as I have no physics background whatsoever, but I was hoping you folks here might be able to help settle a debate. My brother and I like to have "what if" discussions, and one we had quite awhile ago was whether a person could walk across a swimming...

Homework Statement To build a triangular pile consisting of 120 balls, the number of balls in the base would have to be?? Multiple Choice a. 24 b. 30 c. 36 d. 45 Homework Equations The Attempt at a Solution The answer is 36. How do I get this answer and is...

Homework Statement So, I am to describe the collision of two balls with equal masses in a relativistic manner. The energy of the first ball is given. They're asking me to compute the angle \phi between the directions of the balls movement after the collision. The Attempt at a Solution...

Hi everybody. I keep on reading Rohatgi's book "An introduction to Probability and Statistics". Just now I am working in the following problem: We have n cells numbered 1 to n and n balls numbered 1 to n. We place at random the n balls in the n cells, with no cell receiving more than one ball...

1. A person drops a ball from the top of a building; 1 second later, a second ball is thrown straight up from the bottom of the same building. The ball that is thrown upwards has just the necessary speed to just make it to the top of the building. As the balls pass each other, they have the...

Homework Statement Determine all possible ways to placing three balls into three boxes, where there may be more than one ball in anyone of the three boxes. Could you determine all possible ways of placing 20 balls in 365 boxes? Homework Equations The Attempt at a Solution I know this problem...

Hi all, I’m trying to distribute M balls into N boxes. Each box has two compartments (thus 2N compartments total), each of which can hold one ball. There are more compartments total than balls. What I would like to do is calculate the number of boxes, on average: 1) With no balls (2...

Homework Statement In how many ways can 3 balls of different colours be put in 4 glass cylinders of equal width such that any glass cylinder may have either 0,1,2 or 3 balls? The Attempt at a Solution Using the formula for no. of ways for distribution of n distinct things into r...

Homework Statement At time t1, the boy throws a ball at an angle theta1 After some time (say t2), the boy throws another ball at an angle theta2 The initial velocity for both balls is the same (say v0) The balls collide at B, a distance of y (as shown in the attachment) the veritcal...

A 253.5 kg cannon rests on a frozen pond. The cannon is loaded with a 6.8 kg cannon ball and is fired horizontally. If the cannon recoils to the right with a velocity of 6.9 m/sec , then what is the velocity (in m/s) of the cannonball just after it leaves the cannon? Also would like a hint...

Homework Statement If n balls are distributed into k urns, what is the probability that the last urn contains j balls? Homework Equations The Attempt at a Solution not really sure how to do it. This is only a review question, not HW, but with that being known, I would...

[PLAIN]http://img178.imageshack.us/img178/4781/345b.jpg So I said v=v0-gt, and at the highest point, v=0, so t=v0/g. I also said uy=u0sinx-gt, and ux=u0cosx. So at t=v0/g, both balls have to be at their highest pint, and when uy=0, t=u0sinx/g...so equating the two times, I find...

Homework Statement 2 small spheres of charge "q" suspended from strings of length "l" are connected at a common point. one sphere has mass m, the other 2m. Assume angles theta_1 and theta_2 that strings make with vertical are small. (a) how are theta_1 and theta_2 related? (b) show that the...

Are open balls and neighborhoods the exact same thing? If not, could you please shed some light on this for me?

Let's consider a simple case with 2 balls and 3 boxes. Assuming all balls are the same and empty box is allowed. In addition, each box can take any number of ball. How many ways are there to place the balls into the boxes? Here is my way to solve the problem. For the first ball, there are 3...

Homework Statement Ball A is dropped from the top of a building of height h at the same time that Ball B is thrown vertically upward from the ground. When the balls collide, they are moving in opposite directions, and the speed of A is twice the speed of B. At what height does the collision...

Hi, I'm trying to design a solution to the problem of finding golf balls in the rough. I've had a few thoughts so far: - Image processing to detect white objects in a predominantly green environment - UV light emitter and detector to take advantage of fluoresence of the whitening coating of...

Homework Statement There are 50 balls in a bag, all are the same except for the color. 4 of them are white while the rest (46) of them are red. Now randomly draw balls from the bag, one at a time, without replacement. What is the expected number of red balls that you will draw before you...

Two balls are moving through space in the same direction, the balls have differiential masses and velocitys. Ball A is behind Ball B but is also moving faster so will soon collide with it, my question is "How fast will both balls be moving after they have collided?" Ball A: mass=10...

Homework Statement In space in the absence of gravity, there is a post of "infinite mass," meaning that the post is fixed or "nailed down" and cannot move. A ball of mass m1 is connected to the post by a cable of negligible mass of length L1. A second ball of mass m2 is connected to the first...

Two objects of different mass should fall at the same time, both with acceleration g. That is if the objects are in a vacuum, have the same initial speed and height. However, considering air resistance, the acceleration diminishes until both the drag and the weight are equal. Now, a canon ball...

Hi-- I'm doing an end of year project on the physics of trampolines. Anyone who has ever trampolined before knows that you can "double bounce" a person, such that one person bounces right before the other, thus launching the second bouncer higher into the air. In order to do a physics experiment...

Two balls of equal mass m undergo a collision. One ball is initially stationary. After the collision, the velocities of the balls make angles of 33° and 43° relative to the original direction of motion of the moving ball. If initial speed of moving ball is 5.4 m/s find the final speed. What...