Find the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(m,v) = 1/2 m v2. Your measured mass and velocity have the following uncertainties Sm = 0.38 kg and Sv = 0.1 m/s. What is is the uncertainty in energy, SE, if the measured mass, m = 3.1 kg and the measured velocity, v = -7.52 m/s? Units are not needed in your answer.
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- surface, denoted by “g”. In this imaginary experiment, you have measured g three times. The values you obtain are: g1 = 10.2 meters per second squared (m/s2) g2 = 10.4 m/s2 g3 = 10.0 m/s2 To find the Average Value of g, denoted by gav, simple add up the experimental values and divide by the number of experimental values you have: g1 + g2 + g3 10.2 + 10.4 + 10 gav = __________ = ____________ = 10.2 m/s2 . 3 3 Percent Error (PE) To find the Percent Error (PE), you compare the average experimental value to the standard or handbook value of the physical quantity you are measuring. The Standard Value of gravitational acceleration at Earth’s surface , gst, is 9.8 m/s2. Mathematically, PE is defined as: (Average - Standard)…Calculate the uncertainty using the equation below and find the answer.Post-Lab Homework Problems. 1. A student is using a track photogate to determine the time it takes her to run 50 meters. She records the following times: Trial Time (seconds) 1 5.420 5.464 3 5.728 4 5.496 5 5.644 6. 5.794 7 5.540 The data she collects has a mean of 5.583714 seconds, with an absolute uncertainty computed to be 0.141074 seconds. Report her 50-meter time as a confidence interval (a) using the mean and the absolute uncertainty given above. Another student measures his 200-meter run time (b) to be 20.7 + 0.3 seconds. Report the relative uncertainty of each student and identify which has the more precise run time.
- Two metal bars are welded together to shape a more extended bar. The length of the primary bar is L₁ = = 0.97 ± 0.02 m And the length of the secondary bar is L2₂ 1.13 0.01 m. = Figure out the length of the bar (including uncertainty). Show your steps.1. Use the data of three trials with the launcher in a horizontal position to determine average, standard deviation and uncertainty of both time and range. Table 1: Trial Time t_(s) Range Ax_(m) 1 0.2049 0.963 0.2114 0.972 3. 0.2083 1.009 Average 0.2082 0.981 Standard deviation Uncertainty Check: Measure the height of ncher H with your ruler: H = 21.4 cm calculate the theoretical time of flight: Is the above value in good agreement with the average time from table 1? Explain. 2. Using the data in Table 1 calculate the initial speed vo= Axevezse/toveurs Initial speed Xe= (units:for the first box the options are 1, 2, 3, 4, 5 for the second box options are 1, 2, 3, 4, 5 for the thrid box the options are 2, 3, 4, 5, 6, 7, 8, 9, 10