Hi, I have an exam coming up soon. But I thought I would clear my doubts ahead of time.
1. A fixed conducting ball has charge q1= 3X10^-6C. An identical ball with charge q2 is held at a distance x away from q1. The two balls attract each other with a force of 13.5N. The balls are then...
Homework Statement
Can anyone suggest a simple example of a metric space which has a closed ball of radius, say, 1.001 which contains 100 disjoint closed balls of radius one?
I've taught myself about metric spaces recently so I'm only just getting started on it really, not really sure how...
A device consists of eight balls each of mass 0.8 kg attached to the ends of low-mass spokes of length 1.2 m, so the radius of rotation of the balls is 0.6 m. The device is mounted in the vertical plane. The axle is held up by supports that are not shown, and the wheel is free to rotate on the...
Homework Statement
Twenty balls labelled 1 through 20 are put in a box. Eight balls are randomly selected from the box without replacement. Let x denote the largest number selected.
(a) Denote by m the smallest possible value of x. Write down the value of m.
(b) Let k be any integer such...
A ball is thrown straight up from the ground with speed Vo . At the same instant, a second ball is dropped from rest from a height H , directly above the point where the first ball was thrown upward. There is no air resistance.
1-Find the time at which the two balls collide.
Express...
Homework Statement
Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Initially ball A is moving upward along the y-axis at 2.0, and ball B is moving to the right along the x-axis with speed 3.7$m/s$. After the collision (assumed...
Homework Statement
Three balls which have equal masses are fired with equal speeds. One ball is fired up at an angle of 45 degrees, the other is fired up at an angle of 60 degrees, and the third ball is fired straight up at an angle of 90 degrees from the horizontal surface. Rank in order...
2 identical small balls hang in a 100, 000 N/C electric field as shown. They have charges of 100 and -100 nC respectively. The string length is 50cm and the angle each makes with the vertical is 10 degrees. Find the mass of the balls.
http://img514.imageshack.us/img514/633/phees.th.jpg...
Hello,
In this problem: http://www.physics.harvard.edu/academics/undergrad/probweek/prob1.pdf
Two balls are dropped, one on top of each other. When figuring out how high the top ball bounces, the solution assumes that the bottom ball hits the ground first, without the other ball on top of...
Three tiny charged metal balls are arranged on a straight line. The middle ball is positively charged and the two outside balls are negatively charged. The two outside balls are separated by 20 cm and the middle ball is exactly halfway in between.The absolute value of the charge on each ball is...
Homework Statement
Three identical small Styrofoam balls (m = 1.84 g) are suspended from a fixed point by three nonconducting threads, each with a length of 46.5 cm and with negligible mass. At equilibrium the three balls form an equilateral triangle with sides of 30.0 cm. What is the common...
Due in 10 Minutes PART TWO ! (Two balls dropping from roof) True/False
Homework Statement
Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Consider the balls while they are both in flight. You may ignore air resistance. Which statements...
Hello, I'm an electrical engineering student at Washington State University, and I am attempting to design a beer pong (more properly known as beirut) playing robot. It won't be completely autonomous, as you will still have to tell it when to shoot, and load the balls, etc. Anyway, all of the...
Hello, I'm an electrical engineering student at Washington State University, and I am attempting to design a beer pong (more properly known as beirut) playing robot. It won't be completely autonomous, as you will still have to tell it when to shoot, and load the balls, etc. Anyway, all of the...
Golf balls and cliffs!
Hi I'm new to this forum and a novice in physics could anyone please help me with this question?
A golf ball is droped from the top of a sheer cliff 78m high. If gravity is 9.8ms^-2 and there is no air resistance, what speed is it traveling at 10m from its initial...
Homework Statement
Please check if i did this problem right..
two charged pith balls are suspended on very light 12. cm strings. Each has a mass of 10. . In equilibrium the total angle between the string is 50 degrees, Assuming that the pith balls are equally charged, what is the...
Homework Statement
A ball of mass 9m is dropped from rest from a height H =5 meter above the ground. It undergoes a perfectly elastic collision with the ground and rebounds. At the instant that the ball rebounds, a small blob of clay of mass m is released from rest from the original height...
What is the electric field between two isolated metallic balls separated by a distance L, one having charge +Q and one having charge -Q?
(Ball one and ball two have a surface charge 'sigma 1' and 'sigma 2' respectively).
The +Q ball has a larger radius than the -Q ball.
2 balls, with masses of M1, M2, are involved in a plastic collision, one dimentional.. the kinetic energy of the ball m1 is 20 times that of m2. at what ratio between the masses will the new mass(m1+m2) move in the direction the lesser energy mass mas moving.
from Ek1=20Ek2...
Homework Statement
Two balls, each with a mass of 0.790 kg, exert a gravitational force of 8.39 x 10^-11 N on each other. How far apart are the balls? The value of the universal gravitational constant is 6.673 x 10^-11 N m^2/kg^2. Answer in units of m.Homework Equations
F = (G * m1 * m2) /...
Homework Statement
Let X be a metric space with metric d, and let d_{1} be the metric defined by d_{1}(x,y) = \frac{d(x,y)}{1+d(x,y)} . Show that the two metric spaces (X,d) and (X,d_{1}) have precisely the same open sets. Hint: show that they have the same open balls with one...
Homework Statement
http://members.shaw.ca/code/balls.JPG"
Homework Equations
I'm not sure what equations to use here, or even wether or not I need to use calc. Unfortunately we just started dynamics and most students don't know how to integrate yet (including me)
v = dx/dt
a =...
Hello.
I am trying to find out the number of options to divide N balls to subgroups in a way that each subgroup does not contain more than k balls.
Any idea?
Thanks!
Homework Statement
Two equal balls are in contact on a table and are in equillibrium. A third ball collides with them simultaneously, symetrically and remains at rest after the impact. The coefficient of restitution is :
A)2/3
B)3/2
C)1/3
D)1/2
Homework Equations
The...
Homework Statement
What is the peak force between two pool balls in a pool shot? Estimate the momentum transferred to the object ball in a hard pool shot. Estimate (or look up) masses and velocities. For how long are two pool balls in contact? The time can be approximated by the length of...
Homework Statement
There are two balls traveling and they collide. How do there momentum change.
What is the impulse done to ball B by ball A.
Homework Equations
delta momentum = 0
impulse = ?
The Attempt at a Solution
the first part
i think its C
becuz A is moving up and...
Here's my problem guys, I've been trying to puzzle this out for a while. Would really appreciate any help at all, thanks!
Homework Statement
A 50.0 g ball of clay traveling east at 5.50 m/s collides and sticks together with a 40.0 g ball of clay traveling north at 6.00 m/s.
What is the...
two balls are thrown with equal speeds from the top of a cliff of height H. one ball is thrown upward at an angle @ above the horizontal. the other ball is thrown downward at an angle # below the horizontal. show that each ball strikes the ground with same speed and find that speed in terms of H...
Homework Statement
2 equal mass balls (one red one blue) are dropped from the same height and rebound off the floor. the red ball rebounds to a higher position. which ball is subjected to the greater magnitude of impulse during its collision with the floor?
a. it's impossible to tell...
A juggler has a set of balls that she can toss into the air. If it takes her 0.2 s to transfer a ball from the receiving hand to the launch hand and she is able to throw a given ball up with a maximum speed of 10 m/s how many balls can she successfully juggle at any time? Assume that the balls...
Homework Statement
a ball is shot straight up from the ground with speed Vo. simultaneously, a second rubber ball at height h directly above the first ball is dropped from rest
at what height above the ground do the balls collide?asnwer should be a symbolic expression in terms of Vo and g...
Two billiard balls are moving on a (coordinatized) pool table according to the respective paths x(t)=(t2-2, \frac{t^2}{2}-1) and y(t)=(t, 5-t2)
where t is time in seconds.
a) When and where do the balls collide?
I found where the 2 graphs intersect to be (2,1) so does that mean at 2 seconds...
Homework Statement
http://img228.imageshack.us/img228/7232/physicsku0.jpg
http://g.imageshack.us/img228/physicsku0.jpg/1/
Homework Equations
The Attempt at a Solution
I'm extremely lost..
Weighing...
On a Christmas tree there were two blue, two red and two white balls. All seemed the same, however in each colour pair one ball was heavier. All three lighter balls were the same weight, just like all three heavier balls.
Using a pair of scales twice, identify the lighter balls.
on a vertical spring (k=100n/m) there is a box with a mass of 5kg, a ball of 1kg is dropped into it from a height of 1m what is the maximum contraction of the spring if the collosion is plastic.
i hope that my terminology is correct as i am not studying this in english and am translating...
You have 2 balls. Both are identical in size and mass, but one is made of gold and is hollow,the other is not hollow and made from titanium. Find out which is which ball, and let's say both are covered with a black paint that is anti reflective, heat/electricity insulator. You can't use any...
Hi Everyone,
I've been trying to do the following problem, which is exercise 5.4-2 in "Introduction to Algorithms 2ED" textbook by Cormen/Leiserson/Rivest/Stein. It's not starred, so should be fairly easy, but I just can't come up with a closed form solution! The problem is:
Suppose that...
m1 = 5, v1i = +10
m2 = 3, v2i = 0
+y
|_+x
How do I find v1f and v2f?
The balls crash into each other and after the crash I want to know the final velocity.
Homework Statement
Two insulated balls of mass 0.1 g hang from the same support point by massless insulating threads of length l (as shown in the diagram below. A total positive charge of 8.25 × 10-7 C is added to the system. Half this charge is taken up by each ball, distributed uniformly...
Homework Statement
A 0.25kg tennis ball is placed right on top of a 1kg volleyball and dropped. Both balls hit the ground at a speed of 3 m/s simultaneously. Find the (upward) velocity of the tennis ball right after it bounces up from the volleyball. Assume elastic collisions. (HINT: the...
Two balls X and Y collide elastically. Their speeds before and after collision are as shown.
Before
After
Which of the following equations is correct?
A Ux +Uy = Vx +Vy
B Ux +Uy = Vx - Vy
C Ux - Uy = Vx +Vy
D Ux - Uy = Vx - Vy
I'm interested in determining the trajectory and spin of a ping-pong ball for a project for class. I plan on getting a decent resolution video camera and record the ball (with the camera stationary). Afterward, I'll analyze the video on my computer.
My question is: what kind of algorithm can I...
Homework Statement
Consider \Re with metric \rho (x,y) = |x-y|. Verify for all x \in \Re and for any \epsilon > 0, (x-\epsilon, x+\epsilon) is an open neighborhood for x.
Homework Equations
Neighborhood/Ball of p is a set Nr(p) consisting of all q s.t. d(p,q)<r for some r>0.
The...
First of all, sorry if the notation is hard to read, I'm still getting used to this text entry.
Question:
Consider \Re with metric \rho (x,y) = |x-y|. Verify for all x \in \Re and for any \epsilon > 0, (x-\epsilon, x+\epsilon) is an open neighborhood for x.
Relevant Definitions...
Question
Two small balls A and B have masses 0.5kg and 0.2kg respectively. They are moving towards each other in opposited directions on a smooth horizontal table when they collide directly. Immediately before the collision, the spped of A is 3m/s and the speed of B is 2m/s. The speed of A...
Homework Statement
http://i261.photobucket.com/albums/ii53/dimios-4-/free_body_4-1.jpg
2 masses m1,m2 are combined with a baton(stick) to a system.first the system is unmovabble.then after the strike of Mo with the m2 the velocity of Vo=Vf=1. BUT the Vf,V2 are vertical.the Uo is parallel to x...
Homework Statement
In Fig. 21-42 (I attached an MSPaint rendition of it), two tiny conducting balls of identical mass m and Identical charge q hang from non-conducting threads of length L. Assume \theta is so small that tan \theta can be replaced by its approximate equal, sin \theta. (a)...