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Create a graph of acceleration versus the sinθ.Ī. Repeat steps 2 through 5 for the five values of your height.Ĭopy the image of ONE of your velocity graphs (with linear fit) for your lab write-up! Data Analysisġ. Take the average of the three runs to get your acceleration.Ħ. Record the acceleration (the slope of the line of the velocity curve for the part of the curve where the cart is accelerating).ĥ. Determine the acceleration for the cart by using the Linear Fit tool and highlighting the appropriate region of the velocity graph. Do not let the cart collide with the end of the track!Ĥ. The motion sensor will not record accurate data for a cart closer than 40 cm (the limit of its near range). This will take slightly more finesse, but the data will be better. Record data during its entire motion back to its starting point. Push the cart from the lower end of the track up the incline.Release from the elevated end of the track and let it accelerate to the lower end.You have two options for collecting velocity data from the cart: Record each value of h chosen, and then obtain a graph of velocity versus time for that value.ģ. Choose at least five values of height h, to vary over the range 1-8 degrees.Ģ. The low end of the track should have a magnetic bumper installed on it (magnets face upward along the track). Connect a motion sensor to the ULI and mount it on the elevated end of the track. Measure h by measuring the difference in the two heights of your two points.Ĥ. You can choose any two points along the track to serve as your L, but they must be the same two points for all your runs!.Choose a value of h so that the angle of inclination stays less than about 8 degrees. Elevate one end of the track slightly using the vertical rod. Attach the ramp clamp to the lab stand and attach one end of the ramp.ģ. Connect the ULI to the computer via the USB cable and connect the AC adapter. Plastic Box with ULI, AC Adapter, and USB Cableġ.We will take data to plot such a graph and from its slope determine the value of g. We see in Equation 2 that a graph of acceleration a as a function of sinθ should be linear with slope g. By so doing, we will be able to better focus on the conceptual nature of physics without too much of a sacrifice in numerical accuracy.The acceleration of gravity, g, acts vertically downward, so the component of parallel to the incline – which is the acceleration of our cart – is given by Equation 2: We will occasionally use the approximated value of 10 m/s/s in The Physics Classroom Tutorial in order to reduce the complexity of the many mathematical tasks that we will perform with this number. There are slight variations in this numerical value (to the second decimal place) that are dependent primarily upon on altitude. The numerical value for the acceleration of gravity is most accurately known as 9.8 m/s/s. A matter of fact, this quantity known as the acceleration of gravity is such an important quantity that physicists have a special symbol to denote it - the symbol g. It is known as the acceleration of gravity - the acceleration for any object moving under the sole influence of gravity. This numerical value for the acceleration of a free-falling object is such an important value that it is given a special name. A free-falling object has an acceleration of 9.8 m/s/s, downward (on Earth). It was learned in the previous part of this lesson that a free-falling object is an object that is falling under the sole influence of gravity.
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