Experiment 6-Newton`s Law

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Experiment6-Newton’s Law

16thFeb 2017

Thepurpose of this experiment was to investigate Newton’s laws, theforces acting on an object and how these forces act on the object. Inthis experiment, we measure how vectors add and subtract, and howthey can be represented graphically. The behavior of these forces onan inclined plane and their resolution along and perpendicular to theinclined plane is also determined.

Inthe first part of this experiment, the static equilibrium wasestablished between the coplanar and the concurrent phases usingmechanics board. In the latter part of the experiment, the stringconnecting the masses was measured using Atwood’s machine. Instatic equilibrium, the Pasco mechanics was set up as shown in thefigure 1 of the lab manual and was measured by adjusting the massesand moving the angle scale.

InAtwood’s mechanism (Eisert,Friesdorf, &amp Gogolin, 2015),the apparatus was arranged in such a way that the heavy table clampwas placed near the table edge and the threaded rod was screwed toeach pulley. The setup was made in such a way that, for each case,the threaded rod was also used to mount the photogate around thepulley. The pulley was clamped to the cross bar so that the stringpassing over them would move freely and free from obstruction by thetable’s edge.

Forthe setup of the software, the experiment menu was clicked up firstafter which the command bar was then clicked. After this, the setupsensors then displayed all interfaces. In this, an image lab proappears as a photogate, visible as the sensor.

Theexperimental and the theoretical approaches were compared bycalculating the percent error i.e,0.843+/-.004 for theoretical valuesand 0.439+/-.004 for experimental values.

DATA

Theattachment below represents the experimental data sheet.

DATAANALYSIS

Inthis experiment, the sample calculations for the acceleration of thestring were as follows

g

0.8606921m/s2

DISCUSSION

Experimental values (with error)=0.8606921+/-.004 m/s2

Theoretical values(with error)=0.843+/-.004m/s2

Discrepancy=0.0176921

Percentage difference=

Equilibriumis the condition that, when an object has no acceleration, the sum ofall forces acting on it add up to zero. Equilibrium can be achievedeither when the object in question is not moving or even when theobject is moving at a constant velocity. This description results tothe term static, to mean not moving. Therefore, static equilibriummeans that all forces add to zero and the object is not moving.

Inthis experiment, there were sources of error that arose. The errorsare discrepancy between the experimental and the theoretical valuesof the project that would be categorized in the random intrinsicerrors. The percentage errors and the drift errors from the apparatusused (zero errors), would be categorized as systematic intrinsicerrors. Some of the sources of the errors includes poor reading ofthe scale, friction, improper set up of the software, temperaturechanges architecture of the apparatus among others. In themeasurements of the acceleration of the string, there arose an errorwith the biggest discrepancy of approximately 0.0176 m/s2.andthis brought about the difference between the theoretical and theexperimental values.

Thecalculated values of the experiment for the acceleration of thestring are 0.86.6921-/+.004 m/s2whereas the stated values of the project were found to be0.843-/+.004 m/s2.The discrepancy of the two values was 0.0176921 m/s2.The percentage error was 2.098707%. The percentage error of theexperiment was equal to the discrepancy of the two values. Theexperiment was a success since the desired objectives of theexperiment was achieved.

CONCLUSION

Thepurpose of this experiment was to investigate Newton’s law, thekind of forces that act on an object and the way in which theseforces acts on the object. The measured value of the experiment was0.8606921 m /s2.Thestated value of the experiment was 0.843 m /s2,and the stated percentage error was 2.098707%. The experimentsucceeded since the purpose of the experiment was attained withalmost equal experimental and stated values.

References

Eisert,J., Friesdorf, M., &amp Gogolin, C. (2015). Quantum many-bodysystems out of equilibrium. NaturePhysics,11(2),124–130. https://doi.org/10.1038/nphys3215