Lab force and motion report

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Tyler Kennedy Physics lab section 027 March 7 th , 2024 Force and Motion Lab Report

i. Compare your group’s mathematical model, which has the form 𝑎 = 𝐶 1 𝐹 + 𝐶 2 , to Newton’s Second Law written above, and answer the following questions: y=.1056x+.9848 1. C1=.1056 and c2=.9848 2. Our actual c1 value should be 2.857. 3. 3. External forces acting on the system such as air pressure, friction, uncertainties, are some factors that might change the values for c1 and c2. ii. Repeat the above for your group’s mathematical model that has the form 𝑎 = 𝐶 3 (𝑚 𝑠𝑦𝑠 ) −(?𝑎𝑙?𝑒) . Y=1.1588m^.031 1. C3= 1.1588 2. .149N 3. External forces acting on the system such as air pressure, friction, uncertainties are some factors that might have affected our value for c3. Experimental Design Template Research Question: How does ____backwards air tilt ____ impact the constants 𝐶 1 and C 2 in the model 𝑎 = 𝐶 1 𝐹 + 𝐶 2 ? Dependent variable (DV): change in constants (C 1 and C 2 ) in the resulting equation Independent variable (IV): air track tilt backward 9.52mm (indicate forward or backward; include range of values tested) Control Variables (CV): System mass Testable Hypothesis: The downward slope made it difficult for the cart to move. 0.998N 0(negligible) F app due to Hanging Mass (F app ) F app increases F net f k _________ F net (predict relationship) Fill in based on experimental outcomes in next section

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The purpose of conducting labs 05 and 06 was to determine the effect of mass in a frictionless pulley system, not just individual mass but the mass of the hanging force, the mass of the cart, and the system mass. Looking at the results of lab 05 we can see that the main thing that affected our system was the mass of the hanging force. The higher the mass of the hanging force the higher our velocity was, which can be seen in our graph and table provided above. During lab 05 we were able to find an experimental model that holds true under the conditions that the system is frictionless, and the total mass is less than 300 grams. The equation we found was y=0.1x+0.974. Our c1 in this equation is 0.1 and this value represents the acceleration at which our system will go. Our C2 value is 0.974 and this represents a constant which is our friction force. In lab 06 we conducted a similar experiment keeping our system mass the same throughout as well as adding tilt to the frictionless air track. When the cart on the track had less mass and was moving down with the tilt we found is when it had the highest velocity. According to groups 3 and 4 we can see that while performing lab 06 they had similar findings. Group 04 tested the system mass with the tilt going in the opposite direction of motion of the cart. Group 05 tested it the same way we did with the cart traveling down the tilt and found the same outcomes as our group which is that the higher the mass of the hanging force the higher the velocity and acceleration. When looking at the data collected, we can see that all our error bars are overlapping with each other meaning the uncertainty in the data is not so great that it can ’ t be trusted. I would say that the equation excels provided for our graphs does seem to be accurate considering it can be proved which is what we did in lab 06.

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