# Lab 9 Work and Energy.xlsx - Angle of the plane 10u2070...

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Unformatted text preview: Angle of the plane 10⁰ Data Point Point 1 Point 2 Point 3 Mass of Cart (kg) 0.271 Speed (m/s) Distance (m) Height (m) PE (J) KE (J) E (J) 0.897 0.0469 0.0069 0.078 0.709 0.127 -0.974 -0.0132 0.0023 0.0067 0.7285 0.1346 -0.02 0.2869 0.0498 0.7323 0.000054 0.1325 Time (s) Position (m) 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2 1.25 1.3 1.35 1.4 1.45 0 0.0469 0.0897 0.1284 0.1625 0.1928 0.2189 0.2406 0.2579 0.2713 0.2806 0.2858 0.2869 0.2838 0.2766 0.2654 0.2504 0.2314 0.2084 0.1812 0.1501 0.1153 0.0763 0.0336 -0.0132 -0.0639 -0.1185 -0.1549 -0.1456 -0.1475 Position vs Time 0.4 0.3 0.2 Position 0.1 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 -0.1 -0.2 Time 1. Potential energy is smaller than kinetic energy when the object is in movement. As seen in the data, when t energy. 2. According to the Law of Conservation of Energy, Mechanical Energy is conserved throughout the system. Mi our data. 3. Mechanical energy was conserved as the cart was in movement up and down the incline plane. 1. Potential energy is smaller than kinetic energy when the object is in movement. As seen in the data, when t energy. 2. According to the Law of Conservation of Energy, Mechanical Energy is conserved throughout the system. Mi our data. 3. Mechanical energy was conserved as the cart was in movement up and down the incline plane. 1 1.2 1.4 1.6 Time (s) Velocity (m/s) 0.05 0.897 0.1 0.813 0.15 0.729 0.2 0.645 0.25 0.562 0.3 0.477 0.35 0.392 0.4 0.308 0.45 0.226 0.5 0.145 0.55 0.063 0.6 -0.02 0.65 -0.102 0.7 -0.183 0.75 -0.262 0.8 -0.341 0.85 -0.421 0.9 -0.502 0.95 -0.581 1 -0.66 1.05 -0.738 1.1 -0.817 1.15 -0.896 1.2 -0.974 1.25 -0.979 1.3 -0.745 1.35 -0.369 1.4 0.074 Velocity vs Time 1.5 1 0.5 Velocity 0 0 0.2 0.4 0.6 -0.5 -1 -1.5 As seen in the data, when the car was at zero, the kinetic energy was then smaller than that of potential throughout the system. Minor calculation errors could have contributed misinterpretations of this law in e incline plane. 0.8 Time 1 1.2 As seen in the data, when the car was at zero, the kinetic energy was then smaller than that of potential throughout the system. Minor calculation errors could have contributed misinterpretations of this law in e incline plane. y vs Time 0.6 0.8 Time 1 1.2 1.4 1.6 Angle of the plane 0⁰ Position (m) 0 0 0 0.0024 0.0085 0.0181 0.0313 0.0481 0.0688 0.0931 0.1208 0.1522 0.1877 0.2262 0.2688 0.3148 0.3646 0.4182 Force (N) Constant Varying Acceleration (m/s²) 0 0 0 0 0 0.0024 0.0085 0.0181 0.0313 0.0481 0.0688 0.0931 0.1208 0.1522 0.1877 0.2262 0.2688 0.3148 0.3646 0.4182 0.4755 0.536 0.5992 Position (m) Mass of Cart (kg) 0.271 0 0.027 0.148 0.416 0.79 1.134 1.349 1.438 1.462 1.463 1.458 1.455 1.461 1.463 1.459 1.461 1.469 1.475 1.454 1.355 1.129 0.784 0.426 Acceleration vs Positio Acceleration 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0 0.1 0.2 0.3 Position Velocity (m/s) 0 0.008 0.036 0.089 0.156 0.228 0.301 0.375 0.448 0.52 0.593 0.667 0.74 0.812 0.885 0.96 1.034 1.107 Velocity vs Position 1.4 1.2 1 0.8 Velocity 0.6 0.4 0.2 0 0 0.1 0.2 0.3 0.4 Position 0.5 0.6 0.7 0.8 0.2 0 0.4755 0.536 0.5992 0.6622 0.7253 0.1 0.2 0.3 0.252 0.333 0.401 0.454 0.502 0.551 0.6 0.639 0.662 0.669 0.669 0.667 0.664 0.661 0.658 0.654 0.651 0.647 0.4 0.5 0.6 0.7 0.8 0.6 0.7 Position 1.174 1.226 1.253 1.263 1.265 Position (m) Acceleration (m/s²) 0.0252 1.487 0.0441 1.237 0.066 1.064 0.0899 0.988 0.1158 0.946 0.1448 0.827 0.1764 0.597 0.2093 0.329 0.2431 0.117 0.2766 0.001 0.3098 -0.043 0.3434 -0.057 0.3764 -0.062 0.4093 -0.067 0.4424 -0.071 0.4749 -0.074 0.5071 -0.078 0.5397 -0.082 0.5716 -0.084 0.6033 -0.085 0.6352 -0.089 Position (m) Velocity (m/s) 0.0103 0.0252 0.0441 0.066 0.0899 0.1158 0.1448 0.1764 0.2093 0.2431 0.2766 0.3098 0.3434 0.3764 0.4093 0.4424 0.4749 0.5071 0 Acceleration vs Position 1.6 1.4 1.2 1 0.8 Acceleration 0.6 0.4 0.2 0 -0.2 0 0.1 0.2 0.3 0.4 0.5 Position Velocity vs Position 0.8 0.7 0.6 0.5 Velocity 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 Position 0.5 0.6 0.7 0.8 0.5397 0.5716 0.6033 0.6352 0.6666 0.6975 0.643 0.639 0.635 0.631 0.626 0.621 Area under force-displacement graph (N*m) 1. The work performed on the ca Kinetic Energy. 2. Friction did not play a role in t energy was demonstrated convi 3. Since the work done on the ca Energy, then the Kinetic Energy w Acceleration vs Position 0.2 0.3 0.4 Position tion n Final Speed ( delta KE (J) -0.3 1.265 0.2168 -0.42 0.621 0.0437 0.5 0.6 0.7 0.8 0.5 0.6 0.7 0.5 0.6 0.7 0.8 0.6 0.7 n tion 0.4 0.5 n tion n 0.5 0.6 0.7 0.8 k performed on the cart is the same to the change in the ergy. did not play a role in the experiment. Conservation of s demonstrated convincingly througout the experiment. e work done on the cart would be the same as the Kinetic en the Kinetic Energy would be equal to 0.5 J. ...
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