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Physics 1050 Experiment 3 Force and Acceleration
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Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Apr 21, 2018

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Page 1: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Force and Acceleration

Page 2: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Prelab Questions

These questions need to be completed before entering the lab. Please show all workings.

Prelab 1:Draw the free body diagram for the cart on an inclined plane. Break the weight vector into components.

Prelab 2:Does the acceleration of the cart depend on mass? Explain.

Q

Q

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Page 3: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Contents

I. IntroductionII. Apparatus and SetupIII. ExperimentIV. AnalysisV. Summary and Conclusion

Page 4: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part I: Introduction

In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will analyze your data to determine the value of the acceleration due to gravity.

Page 5: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part I: IntroductionNewton’s Second Law

The free body diagram of an object rolling down an inclined plane is shown at right.

Newton’s second law may be applied in the x-direction to obtain an expression for the acceleration.

θ

x

y

N

mg

f

Page 6: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part II: Apparatus and SetupApparatus

You have been provided withdigital inclinometermotion sensorcarttrackrodsclampcard

Page 7: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part II: Apparatus and SetupSetup

Plug the motion sensor into DIG SONIC 1 of the LabPro.Place the support on a rod screwed into the desktop. Screw the support into the opposite side of the track at approximately 120 cm. Place the motion sensor at the top of the track.Raise one end of the track as high as it will go.Tape the white card onto the cart and lay it on the track. (Be sure that the card faces the motion sensor.)Photo of complete setup is on the next slide.

Page 8: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part II: Apparatus and SetupSetup

Page 9: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part III: ExperimentLaunching Logger Pro

Click on the icon to open Logger Pro

CLICK HERE CLICK HERE

Logger Pro will open with two graphs:• position vs time and• velocity vs time

Page 10: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Lay the digital inclinometer on the track and read the angle.Record the angle q in Table 1 of your Laboratory Workbook. Calculate and record sin q in Table 1.

Part III: ExperimentData collection

LW

LW

Page 11: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part III: Check your setup

Hold the cart on the track near the top about 15 cm from the motion sensor.

Page 12: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Hit COLLECT in LoggerPro.

Once the motion sensor makes a clicking noise, release the cart gently.

Part III: ExperimentData collection

! Be sure to catch it before it hits the other end!

The collection will stop automatically.

Examine your graphs. Do they have the expected form?

Page 13: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

If you are happy with your data: Highlight the linear portion of the velocity vs time graph.

Part III: ExperimentData collection

Create a line of best fit: Click Analyze then Linear Fit.To obtain the uncertainty, double click on the box containing the slope and check the option for Show Uncertainty.Record the acceleration in Table 1 of your Lab Workbook.

LW

Page 14: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Lower the track by about 2 cm. Record 𝜃 and sin 𝜃 in Table 1.

Use LoggerPro to find the acceleration and record your results.Uncertainty in acceleration is not needed in the table.

Continue decreasing the angle of the track and recording the data until your table is complete.

Part III: ExperimentData collection

!

LW

Page 15: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part IV: AnalysisExpectations

QUESTION 1: Draw the free body diagram for the cart while it is on an inclined plane. Label each force clearly.

Break the weight vector into components.

QUESTION 2: Write the equation for Newton’s Second Law in the x-direction for your cart.

For Questions 3 and 4, treat friction as negligible.QUESTION 3: Compare the equation from the Question 2 to the

equation for a straight line graph (y = mx + b) to write the equation for the slope of a graph of

acceleration vs sin q.What do you expect for the intercept? Explain.

Q

Q

Q

Page 16: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part IV: AnalysisExpectations

Open Graphical Analysis by clicking on the icon below.

CLICK HERE CLICK HERE

In Graphical Analysis, enter the values of acceleration and sin q from Table 1.Create a line of best fit by clicking Analyze then Linear Fit.To obtain the uncertainty, double click on the box containing the slope and check the option for Show Uncertainty.Record your results in Table 2 of your Laboratory Workbook.

Print your graph (with title and axes labels).P

LW

Page 17: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part IV: AnalysisInterpreting your results

QUESTION 4: Considering the value of slope and the results of Question 3, what is the acceleration due to gravity?Be sure to include units and uncertainty.

QUESTION 5: Does your value of g agree with 9.81 m/s2 within the uncertainty? If not, explain why.

QUESTION 6: What is the meaning of your intercept?

Q

Q

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Page 18: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Part V: Summary

QUESTION 7: List at least three sources of uncertainty in this experiment.

Classify them as systematic or random.

QUESTION 8: Write a brief summary of your experiment.Be sure to include:v the details of what was done in the experimentv how the data was analyzedv the results of the analysisv your conclusions from your experiment.

Q

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Page 19: Physics 1050 Experiment 3 - mun.ca 1050 Experiment 3 Part I: Introduction In this experiment, you will measure the acceleration of an object moving down an inclined plane. You will

Physics 1050Experiment 3

Wrap it up!

Make sure all questions and tables of your Laboratory Workbook are complete.

Include your graph of a vs sinq.

Q

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