04_NewtonsLaws_II(1)

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George Mason University *

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161

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Physics

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Apr 3, 2024

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1 Physics 161 Newton’s Laws II Introduction In this experiment, you will explore Newton's Second Law using Capstone and the Dynamics Track. You will use hanging weights to accelerate a cart away from a motion sensor and use the data you record to measure the acceleration of gravity and test Newton's Second Law. Reference Young and Freedman, University Physics, 12 th Edition: Chapter 4, section 4.3-4.4, Chapter 5 sections 5.1-5.3 Theory Newton's Second Law is written as ࠵? = ࠵? ࠵? . From this equation, we see that the force applied to an object and its mass affect the acceleration of the object. For example, a more massive object will require a greater force in order to achieve the same acceleration as a less massive object. In this experiment, the force used to accelerate a cart is applied by hanging weights. When the cart is pulled by the hanging weights, the total system, both the cart and the hanging weights system, is accelerated. When we neglect friction, Newton's Second Law can be written as: ࠵? ! !"#$"# ࠵? = ࠵? !"#$ + ࠵? ! !"#$"# ࠵? (1) If we define ࠵? !"#$ + ࠵? ! !"#$"# = ࠵? !"!#$ , this can be rewritten as: ࠵? ! !"#$"# ࠵? = ࠵? !"!#$ ࠵? (2) By plotting ࠵? !"!#$ ࠵? versus ࠵? ! !"#$"# , one can find ࠵? as the slope of this plot.
2 Procedure 1. Check that the track is level by making sure that the cart does not roll spontaneously. The experimental set up is shown in Figure 1. Figure 1: Sketch of the track, table, and cart. 2. To decrease the acceleration of the cart, add 500 g to the cart. Measure the mass of the cart with the force sensor attached and the added weight, convert it to kilograms and record it in Excel in the column ࠵? !"#$ . This mass will be constant in the experiment. 3. Connect the motion sensor to the PASCO 850 Universal Interface. In Capstone, under Hardware Setup, digitally plug in the Motion sensor II from the Sensors menu. Change the Motion sensor’s trigger rate to 50 Hz. Drag a Graph icon into the workspace area and set the ࠵? -axis to velocity. 4. Place the cart on the track 15 cm away from the motion sensor. Attach a string to the end of the cart and place it over the pulley. The other end of the string should be connected to the hanging mass of 150 g. 5. One student should hold the cart in place while the other student presses RECORD to collect data in Capstone. You may want to delay releasing the cart for a moment in order to make sure you capture all the data. 6. Be sure to catch the cart before it hits the end of the track, then hit Stop in Capstone. 7. Highlight the points on your graph that follow a straight line. The slope of the line should be positive because the cart is accelerating away from the motion sensor. Do not include the end points of this line segment in the data, as these values may be affected by forces your hands apply in releasing and stopping the cart.
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