PHY I - 3 - Free Fall Experiment revised 3pg (1) (4) (1)

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Miami Dade College, Miami *

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Physics

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Apr 3, 2024

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Free Fall Experiment Phy2048L/2053L Purpose To find the free fall acceleration of gravity g near the surface of the Earth and to determine that it is the same for objects of different masses. Method Measure height and fall times and use the equation of free fall from [starting from rest] to determine “g” graphically Apparatus A drop box containing an electromagnet is hung at a certain height. The sphere will fall on a time-of-flight accessory pad. Both the drop box and the pad are connected to a timer that record and display the falling time from the instant when the ball leaves the drop box until it hits the pad. The height fallen is measured with a ruler. Select Time elect Two Gates Press before releasing ball

Theory An object let go in free fall from rest travels down a high h during time t under the force of gravity with downward acceleration g. The equation describing the motion of this object is: h = " g $ % # Procedure 1. Make sure the timer, drop box and pad are connected and on. 2. Set timer two gates. It is ready when the * symbol is displayed. 3. Choose a height for the drop box. 4. Hang a steel ball from the drop box. 5. Measure the height from the bottom of the ball to the surface of the pad. 6. Press the Start/Stop key in the timer. 7. Release the ball by pressing the trigger. 8. Record time. 9. Repeat step number 4, three times for the same height. 10.Repeat 3-9 from different heights 11. For each of the 5 different heights calculate the average $ &' of their 5 corresponding times. 12. Repeat for a plastic sphere. Graphs Graph 1: Plot a full page of position vs. time (h vs. $ &' ) Graph 2: Plot a full-page graph of h vs. $ &' % /2 and draw the best-fitting straight line through these data points. The slope of the line will be the experimental value for gravity * +,- . Compare these results with the expected value for Miami: * ./ =9.79 m/s 2

Name:jose jerez Dhiraj Maheswari Date: 09/09/2023 Phy2048L/2053L DATA Steel sphere: h/m t 1 /s t 2 /s t 3 /s t 4 /s t av /s t av 2 /2 0.71 0.3817 0.3817 0.3818 0.3818 0.3818 0.07288 0.63 0.3688 0.3587 0.3590 0.3603 0.3617 0.065415 0.53 0.3295 0.3292 0.3291 0.3301 0.3295 0.05429 0.40 0.2855 0.9851 0.2851 0.2853 0.2853 0.04070 0.225 0.2135 0.2128 0.2128 0.2135 0.2133 0.02275 0.09 0.1338 0.1332 0.1339 0.1334 0.1338 0.008951 Plastic sphere: h/m t 1 /s t 2 /s t 3 /s t 4 /s t av /s t av /2 0.71 0.3853 0.3855 0.3825 0.3823 0.3839 0.07369 0.63 0.3689 0.3628 0.3588 0.3607 0.3628 0.06581 0.53 0.3392 0.3298 0.3302 0.3324 0.3329 0.05541 0.40 0.2917 0.2882 0.2859 0.2847 0.2876 0.04136 0.225 0.2138 0.2139 0.2126 0.2129 0.2133 0.02275 0.009 0.1335 0.1351 0.1326 0.1346 0.1340 0.00897 f(x)= 0.71m-0.09m/0.1485s^2-0.0179s^2=0.68m/0.1306s^2 f(x)=5.2067m/s^2 gexp=5.2067m/s^2 x 2 gexp= 10.4134 m/s² D = (10.4134 m/s² - 9.79 m/s²) / 9.79 m/s² D ≈ 0.0636 m/s² x 100% D ≈ 6.36

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Conclusion Our experiment aimed to determine the free-fall acceleration due to gravity (g) near the surface of the Earth and demonstrate that it is independent of the mass of the falling objects. Our results support the hypothesis that g is indeed the same for objects of different masses within the precision of our measurements. The average value of "g" calculated from our experiment closely matches the accepted value of approximately 0.71 m/s² near the surface of the Earth. This consistency in "g" for different objects verifies the universality of free fall acceleration, regardless of mass.

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