• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8

# Plumb Line Mechanics Experiment

Extracts from this document...

Introduction

David Hudson Mechanics 2 Coursework Plumb Line Mechanics Experiment Making Assumptions and relating them to both the model and the experiment To be able to use the mechanics theory that I know, the following assumptions must be made, listed in order of importance. * All motion is vertical - Although the horizontal motion could be taken into account, it cannot really be measured with the equipment we have, and since it isn't wanted anyway it is best just to redo trials that result in some horizontal motion. This requires two further assumptions: o There is no spin - spin causes the movement of the ball in other directions. o The floor is perfectly horizontal - As it not being so would cause the ball to bounce in other directions (although in practise this can't be helped anyway) * There is no air resistance - As I cannot calculate air resistance using the theory I currently know, and the acceleration would no longer be constant. Since the ball is small, spherical and heavy, it should encounter little air resistance and be only lightly affected by it. * The ball is uniform and perfectly spherical - The ball could appear to have different values of e because of having different densities or small deformations at different points on the surface, although the chance of these remaining unnoticed is minimal. ...read more.

Middle

e=the coefficient of restitution V2=U2+2AS U=eV(2as) 0=2ase2+2AS A=-a 0=2ase2-2aS 2aS=2ase2 S=se2 ? The fact that e is known to be a constant means that S/s must e2=S/s also be a constant. It can therefore be written as S=ks showing e=V(S/s) that the graph of S against s must be linear. Part 2: Time taken for 3 bounces T=time taken for the three bounces (s) T=t0+2t1+2t2 tn=time for ball to go from top of a bounce to the ground (s) u=speed at the top of a bounce (always 0) sn=top of a bounce (m) a=acceleration due to gravity (ms-2) sn=utn+1/2atn2 sn=1/2gtn2 2sn/g=tn2 tn=V(2sn/g) T=t0+2t1+2t2 T=V(2s0/g)+2V(2s1/g)+2V(2s2/g) ? S=se2 sn+1=sne2 sn=s0e2n T=V(2s0/g)+2V(2s0e2/g)+2V(2s0e4/g) T=(1+2e+2e2)V(2s0/g) Since the graph of T against s0 will be of the form y=kVx it will have the following shape: In other words it will be a slightly curve towards the x-axis. Task 1:Find e Using the dashed lines on the graph, I wish to find the gradient of the line. The vertical line is 10.09cm long and the horizontal line is 8.12cm long. Since the two axes have the same units and scale the figures don't need to be adjusted. The gradient of the line, and hence the value of S/s, is therefore 8.12/10.09 or 0.805. ...read more.

Conclusion

However, this slight difference does not seem to have any importance to the overall results. The two graphs have the general shapes that the model predicted and so are explained by the model. Revision of the process I believe that the greatest contributor to the imprecision of the experiment was the error in timing, so if it were feasible(i.e. cheap) I would use some kind of electronic equipment that detected when the ball bounced or was released. I would also have thought it better so use some simple mechanical device to drop the ball to avoid giving the ball any energy, and it may have been better to test the value of acceleration due to gravity rather than just giving it an assumed value. After all, the position of the moon has enough of a gravitational effect to cause the changing of the tides, so it may have had some noticeable effect on task 2 of the experiment, when gravity was significant. I think testing the value of g beforehand might have helped to reduce the difference between the experimental and predicted results for task 2. I am certain that better timing equipment would reduce the size of the error bars in task 2, and I think that using some mechanical device to release the ball would slightly reduce the error bars in both tasks. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our AS and A Level Mechanics & Radioactivity section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related AS and A Level Mechanics & Radioactivity essays

1. ## The acceleration of a ball down various inclines

3 star(s)

Also, the experiment must be conducted indoors, so no wind can affect the experiment. If you need to, using a hair brush gently strip the tennis ball of excess hair. After this, the experiment may start, although there are 2 ways to complete it, a being the first way, b being the second: 1.

2. ## Objectives: To determine the center of gravity of a body of irregular shapes

pc To hold the stand firmly Meter rule 1 pc Has zero error (�0.001m) Optical pin with cork 1 pc Stand and clamp 1 pc Experimental set-up: Description of design: In this experiment, we will measure the local gravitational acceleration due to the earth.

1. ## CIRCULAR MOTION - revision notes and calculations

(angular velocity) can be obtained as follow: T cos? = mg T sin? = mr?2 Since, T and mg are constant, therefore, ? is also a constant. i.e. ? ? r1/2 (4) By plotting a graph of ? against r1/2 a straight line should be obtained. (5) The main source of error: there is friction between the string and the glass rod, which vary throughout the experiment.

2. ## Use of technology in a hospital radiology department. The department of imaging is one ...

Receptionist this are who deal with client by giving information and directing client to get to the right department also assist people by arranging appointment for the next visiting to the hospital, register new client and put their detail in the hospital administration system confidentially, and welcoming people with grate altitude.

1. ## Multi-bladed Pumps. Does the number of propellor blades affect the efficiency of a ...

The percentage error on the volume graduations on these pieces of equipment is very small (around 0.0003%). References for planning section 1. Cambridge University Department of Physics Physics risk assessment form http://www.phy.cam.ac.uk/cavendish/hands/forms/RAform.pdf 2. CLEAPSS Secondary Schools website http://www.cleapss.org.uk/secfr.htm Implementing Modifications to plan Problem Solution How to water-seal the entire system

2. ## The physics involved with a rollercoaster.

Roller coasters experience accelerations of 2. Force The Tidal Wave works by some of the most fundamental principles of physics. Newton's First and Second Laws in particular apply to rollercoaster's today, they relate force and acceleration. Energy When a train is pulled up to the top of the lift hill it is gathering potential energy.

1. ## Work based on the experimental cycle testing Newton's law of impact

This is the same as writing: This can be changed into component form to show the following: Parallel the cushion component * Momentum is conserved. Perpendicular to the cushion component * By showing the perpendicular component in comparison to the parallel component a final model is produced.

2. ## Slide Mechanics Coursework

The floor must be flat otherwise values of d would be inaccurate and theoretical calculations would not be possible. Accurately measuring d must be addressed. If the value of d is purely observed by watching where the object lands, errors are bound to be made.

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to