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![]() ( I know the data points look like a linear fit but. #5 Repeat step #3 to #4 for different system massesįor this experiment, we found that the inverse model fits the data points the best, which means that Acceleration is inversely proportional to total mass. #3 Record the total mass of the system and release the cart from rest while the motion sensor is collecting data #1 Measure the mass of the hanger (or Net Force) We can then change the mass by adding mass directly to the cart. The net force will be determined by the amount of mass added to the hanger. We expect that the net force will affect the acceleration. Why do we have to keep the net force constant? How do we do this properly? Independent Variable - the TOTAL MASSacting on the systemĬontrols - NET FORCE of the system, other parts of the system including the hanger, the track and the cart Research Question - What effect does changing the TOTAL MASS acting on a system have on the acceleration of the system? ( Why does Fg acting on the hanger = ∑F acting on the system? )Ĭompare to the force we recorded from the force sensor, which was 0.69 N, we just improved the accuracy of our data by 0.053 N, which is a big deal in a experiment like this, because the data/numbers are not big at all. ![]() Another improvement we can do is to measure and record the mass on the hanger, and calculate the ∑F of the system (which equals Fg acting on the hanger) using the gravitational force equation: ∑F=Fg=mg. It is always beneficial to have a bigger collection of data, so we can fit the model much accurately. Improving the Investigation - With the sources of uncertainty being said in the previous section, I think one thing we need to do to improve the investigation is to collect a larger range of data. We tried our best to average the overall measurement, but it is very likely that the force we recorded was not as accurate. When we were reading the force measured from the force sensor, the value kept changing back and forth, sometimes the values varies in a pretty big interval. Another source of uncertainty was the Fg of the hanger measured by the force sensor (also the ∑F in this case). The range of the data set was definitely not big enough for this experiment. Due to the time limit, we only got to collect 5 data points. Uncertainties - One source of uncertainty in this experiment was the range of the data. With the y-intercept not equals to 0 m/s/s, it tells us that there are uncertainties involved in the process of the experiment. Logically, the y-intercept should be equal to 0 m/s/s in this case, because when ∑F=0 N, the only forces acting on the cart will be Fg and Fn, no third push or pull is acting on the cart, therefore the cart is supposed to be moving in a constant velocity with zero acceleration. This y-intercept value doesn't really make sense here. Y-Intercept - In the graph, the y-intercept is -0.1078 m/s/s, which tells us that when the ∑F is 0N, the acceleration of the cart will be -0.1078 m/s/s. To interpret the slope, we can say that for every Newton of increase in ∑F, the acceleration increase by 1.190 m/s/s. Slope - All linear fits have a constant slope, and in this case the slope=1.190 m/s/s. ![]() This is clearly a linear fit, which means that Acceleration is directly proportional to ∑F.Įquation - Acceleration = 1.190m/s/s/N * ∑F -0.1078m/s/s #5 Repeat step #3 to #4 for different hanging masses #4 Record the acceleration by calculating the slope of the resulting Velocity V.S. #3 Record the total mass of the hanger (or net force) and release the cart from rest while the motion sensor is collecting data #2 Connect a motion sensor to LoggerPro to collect motion data (Velocity V.S. #1 Measure the mass of our system (cart, string hanger, all of the hanging masses, etc.) We will change the net force by MOVING mass from the cart to the hanger instead of ADDING them. The more mass an object has, the more inertia it has and the more resistance to change in motion (acceleration) it has. Why do we have to keep the total mass constant? How do we do this properly? Independent Variable - the NET FORCEacting on the systemĬontrols - TOTAL MASS of the system, other parts of the system including the hanger, the track and the cart Research Question - What effect does changing the NET FORCE on a system have on the acceleration of the system? ![]() Experiment 1 - Net Force and Acceleration
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