- 9 Experiment 5 Projectile Motion The Purpose Of This Lab Is To Apply Mathematical Models To Predict The Trajectory Of A 1 (133.68 KiB) Viewed 52 times
We should be aware of the following constraints that are present when this experiment is conducted: 3. You should now have values for both Ar and (uaz); we report this as Ar + (ar). Using a blank sheet of paper, mark the center of the paper and draw a circle (to the best of your ability) around this mark with a radius r1 = (UA). Around the same mark, draw another circle with radius r2 = (2011). Your drawing should resemble a target with a circle shaped bull's eye and a ring of width (Uaz) surrounding it. • When the car is released from the ramp, the drop height from the front of the car is measured and held constant for each trial. • The height of the fall, fall time, and horizontal exit velocity will all have uncertainties associated with them. 4. If we fastened this paper to the floor with the center a distance Act from the edge of the table and conducted 100 trials, how many times do you expect the car to land in the bull's eye? Again, due to the nature of our circumstances, we are not able to conduct this experiment. I will describe how I collected the data and provide all relevant information for your role in this experiment: 5. How many times do you expect the car to land somewhere on the target (either in the bull's eye or inside the ring)? a. I released the car from the same height on the ramp a total of seven times, collecting time values from an attached motion sensor and data collection software. I then calculated the exit velocity (uz) of the car as it left the table seven times by dividing the car length by each time value. b. Using the seven exit velocities I calculated an average exit velocity. I will use 5% of this average value for the associated uncertainty. The average exit velocity I obtained from these trial is v. = 2.200.11 m/s. Use this value and its uncertainty for the remainder of the procedure. c. I then measured the height of the fall (from the point where the car left the table to the floor) using a meter stick. The smallest unit of measurement on my meter stick is 1 mm, so one half of this value is the associated uncertainty. The drop height used for the remainder of the procedure is Ay = .79.0005 m. From this point, you will use the kinematics equations, in conjunction with the relevant error propagation rules, to predict the horizontal distance Air 1. Using the height of the fall (Ay) I reported above, calculate the time of fall (At) and the time's associated uncertainty (uat). This is a projectile motion kinematics problem, where the car's velocity is constant in the r direction, and the car is in free fall in the y direction with an initial vertical velocity Vig = 0 and an acceleration ay = -9.8 m/s. While solving for time, you will notice part of this process strongly resembles exercise 2 from the Pre-Lab. The Power Rule is used to determine the uncertainty associated with At. Refer to the posted Pre-Lab solutions as a guide. 2. Finally, calculate the range of the projectile and its associated uncertainty using A1 = v.At. This requires the use of the multiplication rule. Exercise 1 from the Pre-Lab is an example of applying the multiplication rule. 38 39