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# To investigate and prove Newtons law, F=ma.

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Introduction

Name: Jonathan Tam Class : 12A Physics Experiment Report - Data collection, Data Processing and presentation F = ma Planning (a): To investigate and prove Newton's law, F=ma. As the formula suggest, force increases proportionally to acceleration, also it increases proportionally to mass. Acceleration increases inversely to mass, mass increases inversely to acceleration. Planning (b): We will use an air track to remove air resistance which hinders our experiment. We will use light gates to measure time, thus calculate acceleration. Data collection: F = ma Absolute error Percentage error (%) mass: 0.31089kg 0.00005 0.016 length: 0.02648m 0.00001 0.038 We have to keep the mass of the whole setup constant, which means mass x + mass y has to be constant at all cases. ...read more.

Middle

From the formula, I predict the slope of the graph is m, which is 0.31, due to the fact that a straight line graph has a general formula of y = mx + c. F = ma Absolute error Percentage error (%) mass: 0.31089kg 0.00005 0.016 Acceleration: 0.26 - 1.93ms2 / 0.07 - 0.13 Percentage error of m: 0.016% Highest percentage error of a: 0.13% Highest percentage error of F: 0.016 + 0.13 = 0.146% Graph please see the graphing paper attached. Note: Uncertainties are invisible on the graph as the errors are relatively negligible to the scale. ...read more.

Conclusion

/ 7 = 0.3111 Overall percentage error: Percentage error = difference in value / actual value *100% Measured value of mass: 0.31089kg Calculated slope (mass): 0.31078kg Percentage error: (0.31089 - 0.31078) / 0.31089 * 100% = 0.00011 / 0.31089 * 100% = 0.035% As we can see from above, m = F/a which equals 0.31. From measurements taken above, the mass that we used is also 0.31kg. So we can say F = ma is proved in this experiment. Conclusion: F = ma, force increases proportionally to acceleration, also it increases proportionally to mass. Acceleration increases inversely to mass, mass increases inversely to acceleration. 1 ...read more.

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