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Linear Acceleration Lab

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Abstract The objective of this lab was to determine how the acceleration of a system is related to the force applied. In order to complete this experiment we had to establish our hypothesis, independent and dependent variables and the control variables. We conducted two trials with the same masses for both trials, and changed the masses from 10 g all the way to 40 g in intervals of 5. We made sure to keep the overall weight of the system constant, since it was a control variable. We had to account for the friction of the system and developed a graph and error bars. At the end of this experiment we determined that our prediction was correct: the more force applied, the faster the acceleration.

Experiment Design Our hypothesis was that the …show more content…

We claimed that with an increase in force applied (hanging mass), there would be an increase in the acceleration of the cart. Our data is shown in Table 1 and Figure 1, with error bars. Our data resulted in a linear line. This supports our claim that an increase in force would increase the acceleration. Another piece of evidence to support our claim is the equation F = ma. F is the force of the hanging mass, and a = acceleration. With an increase of F, there will be an increase of a, and vice versa. The equation for our graph was y = 1.145x + .01983. The slope was 1.145. We manipulated the formula F = ma, and took the inverse of the slope of the mass and it resulted in [1/(1.145)]a = F. After solving for 1/1.145, we came up with 0.87 kg. Since the weight of the cart was 0.315 kg, and the hanger was 0.025 kg, and the constant weight added was 0.04 kg, the overall weight of the system ended up being 0.7399 kg. Our 0.7399 kg and the equation’s 0.87 kg were close and only off by one tenth. Another piece of evidence to support our claim is the data of Veronica Sinotte, a fellow student who preformed the same experiment. As you can see from Figure 2, their data also results in a linear line. This further supports our claim that with an increase in force will come an increase in

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