For part (a) of this problem,
The solution is,
However why did say show the motion is periodic, but then the solutions don't show it, instead explain how it is periodic?
Is there a way to prove that the motion is periodic other than the solution to part (b)?
Many thanks!
Watching this exhibit from years ago () led me to think that ball bearings will bounce really well from steel glockenspiel bars, but that wasn't the case when I tested this myself with a stainless steel ball bearing and a steel glockenspiel bar. Granted, I was just propping up the bare...
I know that the height before the first bounce will be ##y = g * t * t + v_0 * t + y_0##.
After the first bounce, I can find y by pretending the ball was thrown from the ground with velocity ##e * -v_f## with ##v_f## being the velocity of the ball when hitting the ground, but I have to reset the...
Homework Statement
A 0.500 kg ball is dropped from rest at a point 1.20 m above the floor. The ball rebounds straight upward to a height of 0.700 m. What are the magnitude and direction of the impulse of the net force applied to the ball during the collision with the floor?
Homework...
Homework Statement
I'm trying to find the coefficient of restitution (COR) and energy loss upon impact of a bouncing ball, and I'm trying to understand how these relate to each other.
Homework Equations
COR=sqrt(2gh/2gH)
suvat equations (possibly)
1/2mv^2=mgH (using m=0.0585kg, g=9.8)
energy...
This is not a physics question.
Each time a ball bounces it will bounce to, let's say 75% of its previous height.
(I am not interested in the time, energy or velocity, of the ball.)
So if we drop it from 100 cm it will bounce back up to 75 cm, and on the next bounce it goes up to 56.25 cm and...
Hello
Theoretically any ball that bounces 1.225 metres high is in the air for one second. This is fairly precise, +/-4% time variance is +/- 10 cm height variance, so bouncing to a height of 1.13 metres is 0.96 seconds and to a height of 1.32 is 1.04 seconds.
The theory is at least dependent...
[Mentors' note: No template because this thread was moved from the General Physics forum]
Ok so first of all believe me i would not make a new post if i found the answer anywhere online but i i couldn't find it.
Right now i am doing an experiment to find the frequency of a bouncing ping-pong...
Homework Statement
Consider two parallel walls perfectly reflective placed at the distance ##d = 0.8 m ##. A ball, provided with a device through which are emitted continuously frequency sound waves equal to ##f_0=430 Hz##, is launched from one wall to another. It moves with constant velocity...
I graphed different heights from which I had dropped a bouncing rubber ball on the y-axis and the time taken for it to bounce on the x-axis. The function came out to be quadratic, but I do not know why. If someone can show mathematically why this is, that'd be splendid. Thank you.
Homework Statement
Does anyone know how to plot a displacement-time graph that will give the average velocity of a bouncing ball? The ball bounces 5 times and I would like to know it's average velocity. What equations would I use?
Homework Equations
0.5mv^2=mgh?
The Attempt at a Solution
I...
I am doing a lab in my senior physics class (IB HL Physics 3-4) and I am very confused about a relationship that I found. For my experiment I dropped a racquetball from different heights and then used video analysis to find the height of the ball on its final bounce. I used this data to...
I am trying to find out what material that cowhide or vulcanized rubber will bounce off the most? (High school student working on a patent, so really not too experienced with materials engineering.)
I've seen the solution to finding the velocity after a ball bounces off of a wall.
http://www.lhup.edu/~dsimanek/ideas/bounce.htm
If a ball of mass m1 and velocity v1 hit a massive wall, what is the final velocity. I understand the math. What I find a little confusing is reconciling the math...
Homework Statement
A ball bounces down a uniform flight of stairs of height H , rising after each
bounce to to the level h of the previous stair .
the velocity of the ball before the impact is equal in all the impacts .
what is the average power of energy loss ?
Homework EquationsThe...
Throwing a ball which is (m)kg on the ground
If the velocity of the ball just before it reaches the ground is (v)m/s
Assume it is a elastic collision
The velocity of the ball when it leaves the ground should be (-v)m/s
According to conservation of momentum,the ground has a change of...
Homework Statement
A ball, which is launched in the air with velocity V, has inelastic collisions with the floor: the kinetic energy after each collision is k times the kinetic energy before the collision, where k<1. Assume that the gravitational acceleration is constant: g [m/s^2]. I was asked...
So if you throw an elastic bouncy ball at the non-closed door, it will bounce off with bigger velocity than it was approaching the door before hitting it, as well as the door will now have some gained momentum and will move.
P (momentum) = mv
In this case, it appears as if the ball gained...
Homework Statement
Hi everyone,
I am doing a lab currently (and it looks like a few other people on here have had similar questions...) and I'm having trouble with one of the concepts. I had to drop a ball from a height and measure the movement with a motion sensor, which was graphed with the...
Problem statement:
I have a 0.0506kg bouncy ball that will I drop at 1.75m. I must predict how many times it will bounce before it comes to a rest.
My work:
We did a lab to predict the percent of energy "lost" from each bounce. After doing some calculations with my data, I found that, on...
Hi,
I am trying to wrap my head around what happens when a ball of mass m bounces against a hard floor. I assume a system that includes the ball and the floor (and eventually the entire planet) and an elastic collision. Before the ball hits the floor it has a momentum of mv. After the bounce...
Homework Statement
A 0.62-kg basketball dropped on a hardwood floor rises back up to 64% of its original height. If the basketball is dropped from a height of 1.6m , how much energy is dissipated in the first bounce? How much energy is dissipated in the fourth bounce?
Homework Equations
U(x) =...
1. Okay. So, my lab is to bounce a ball at a given high while i calculate the time, mass, and different heights. Given these I find the PE, Velocity, and Difference in PE. I've gotten most of the lab complete but there is a final question that asks "If you wanted the golf ball to rebound to a...
1. Homework Statement
1.Main question: Why would anyone need to know the total VERTICAL distance traveled by a bouncing ball?
2.Other question: Does anyone have a link to an explanation (or could explain themselves) on how to calculate the total HORIZONTAL distance traveled by a bouncing...
Does anyone have a link to an explanation (or could explain themselves) on how to calculate the total HORIZONTAL distance traveled by a bouncing ball?
I have filmed and analysed (plotted the points) of a few trajectories, so I have the values, I just need to explain why i got those values and...
Homework Statement
Find an analytical model for the height of a bouncing ball to be able to find the the height of the ball at any given time. In other words, as I understand, write an equation that would define the trajectory of a bouncing ball.
Let's say the coefficient of restitution (COR)...
Homework Statement
A ball hits the wall.So wall will exert an equal and opposite force the ball
Why doesn't the ball's forces gets equal so it moves with constant velocity?
Homework Equations
Gui
Na
The Attempt at a Solution
No attempt needed here.F-F=0 net force.
hi all, ok i read another post from this forum about the bouncing ball but i didnt want to start asking questions when i never made the thread
ok so I am programming a program that starts with a ball in the air and it will automatically start to fall here is a simplified look at my code to...
given below is a more than one choice type MCQ,
A ball is bouncing elastically with a speed 1 m/s between walls of
a railway compartment of size 10 m in a direction perpendicular
to walls. The train is moving at a constant velocity of 10 m/s parallel
to the direction of motion of the ball...
Hi, I just need some help with 3 questions that is asked in my rubric for this investigation. I have already done the experiment to investigate the relationship between the height from which a ball is dropped and the height of the resulting bounce
Homework Statement
1) Draw a graph of average...
Homework Statement
A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball.
Homework Equations
Geometric series sum of ar^n
The Attempt at a Solution
D1= 16 feet
D2 = 16(0.81) + 16(0.81) =...
Homework Statement
Time tries to crush a 0.85kg basketball, but is only able to compress it by 1.5cm when a force of 50N in applied
a) What is the spring constant of the ball?
b) When he throws it against the floor, it is compressed by 3.4cm. How high will the ball bounce?
Homework Equations...
I think in a piece by John Baez we learn that the physics of an expanding and collapsing dust filled universe is the same as the physics of a bouncing ball,
Radius, R, verses time and height, h, verses time?
If so are there counterparts to the kinetic and potential energy of a bouncing ball...
Homework Statement
Determine the initial velocity with which a soccer player must kick the ball, such that the ball bounces and then achieves maximum height of 2.20 m at point C or just passing under the horizontal bar. Coefficient of restitution between the ball and the field is e=0.5...
Hello. I have an exercise (not exactly homework, it's a physics contest that we are allowed to solve at home, using all possible help we can find) that goes like this:
A ball with mass m = 0,10 kg falls vertically on a horizontal non-movable solid surface. Speed of the ball just before the...
Hi guys. I've been a lurker for a while, but I've recently become super stumped on this physics question (physics is far from my forté). I've attached the graph of my bouncing ball. First, I had to identify the coefficients and what they mean. I understand that A is acceleration, B is initial...
Homework Statement
A hard rubber ball is bounced on the floor. Compare the ball's acceleration on the way down to its acceleration on its way back up.
Homework Equations
-
[b]3. The Attempt at a Solution [/b
First off, ignore air resistance.
Lets assume that the person bouncing...
I have just recently completed a lab in Conservation of Energy. My course is through correspondence, so my labs are virtual. I noticed that the heavier the ball was, the haters the total energy dropped as the ball continued to bounce. Now I understand that energy can be transferred into many...
I found this text
As the ball's surface dents during an impact, these polymer molecules move about and begin to exert forces on one another (storing energy in the process). As the ball rebounds, these molecules release their stored energy and push the ball back into the air.
I'm not sure...
Hey,
The phase-space, a graph of momentum against position, shows a trajectory of a particular system and any point on this trajectory gives a microstate of a particular macrostate; given the Energy of the system is constant... I think this is roughly true, correct me where I'm wrong please...
Hi guys - recently in college we have done an experiment where we drop a ball from 10 different heights, and recorded the bounce height. Obviously all the results were tabulated, and then a graph produced. It turns out that the graph is linear, and I have worked out y=mx+c, so am able to predict...
Hi guys - recently in college we have done an experiment where we drop a ball from 10 different heights, and recorded the bounce height. Obviously all the results were tabulated, and then a graph produced. It turns out that the graph is linear, and I have worked out y=mx+c, so am able to predict...
Dear Forum,
in the coefficient of restitution lab, a ball is drop from a certain height and the bounce height is measured to eventually calculate the coefficient of restitution COR...
Why should the initial height always be measured from the bottom of the ball and not from the top? Why...
Homework Statement
I am currently working on a lab that deals with a bouncing ball where I need to find the KE and impulse yet I have no mass given.
Homework Equations
PE=mgh
KE=1/2mv
p=mv
The Attempt at a Solution
I have calculated KE by first finding the PE in the middle of the...
Homework Statement
The object of the lab is to find the diameter of the bouncing ball shown in the pdf attached. We are working with Logger Pro. The only 2 pieces of information that we have is that the ball is on the surface of the earth, where Ay=-9.81 m/s2, and that the frames are 0.05...
Homework Statement
The graph I have posted is the result of using a motion sensor above a bouncing ball.
I am asked to write a clear interpretation of the meaning of each parameter in the equation Y=At^2+Bt+C.Homework Equations
Y=Ax^2+Bt+C
y=y0+v0t+1/2at^2The Attempt at a Solution...
So I was thinking about the conservation of momentum. If you throw a handball at a wall, the wall will provide an equal normal force, thus sending the handball back at the same velocity (in a perfect scenario). The ball has a momentum vector, the wall never moves, and thus only has a...
Homework Statement
For our final project we have to design a lab, take the data, and write a lab report. My lab is bouncing balls of different masses, onto different surfaces, from different heights, and use balls of different materials in order to see what factor influences efficiency the...
Homework Statement
For our final project we have to design a lab, take the data, and write a lab report. My lab is bouncing balls of different masses, onto different surfaces, from different heights, and use balls of different materials in order to see what factor influences efficiency the...