Name____________________________________ Section_____________ Date__________ CONCEPTUAL PHYSICS: Hewitt/Baird Linear Motion Tech Lab Motion Graphing Simulation Motivating the Moving Man Purpose To study one‐dimensional motion through the use of a computer simulation Apparatus computer PhET simulation: “Moving Man” (available at http://phet.colorado.edu) Setup 1. Turn the computer on, log on and allow it to complete its start up cycle. 2. Find and start the PhET Simulations and run the Moving Man simulation. Ask your instructor for assistance if needed. 3. Locate the time‐scale expansion button. Time is the horizontal axis, not the vertical axis. Use the time­scale expansion button to expand the time axis so that only 10 seconds can be seen. 4. Find and use the buttons that will delete the velocity vs. time and acceleration vs. time graphs. You are left with one graph: position vs. time. And its horizontal axis now runs from only 0 to 10 seconds. 5. Set the computer aside and read the Discussion section below. When you have finished reading the Discussion, continue with the activity. Discussion The simulation provides us with a simple interface we can use to study motion graphs. Specifically, we can control the position, velocity, and acceleration of an object and see the graphs of position, velocity, and acceleration of that object. The simulation allows us to manually control the object by dragging it. We can also drag a position “slider” control. More importantly, we can set initial conditions for the object then let its motion proceed. We can pause the motion, and the motion is limited in space by the walls. Procedure Step 1: Complete the matching exercise on the next page. The names of many objects and buttons are listed. Draw a line connecting the name of each object or button to the object or button, itself. Your screen and Figure 1 should be very similar in that only the position vs. time graph is visible and that the horizontal (time) scale runs from 0 to 10 seconds. PhET simulations are revised from time to time, so some elements of the screen layout may have changed. Step 2: Manual Man a. Click on the man and drag him in the positive direction (toward the house) at a steady rate of 1 m/s to the best of your ability. Your graph won’t be perfect (limitations of the computer’s interface prevent this), but try to move the man as smoothly as you can at 1 m/s. b. While the graph is still on the screen, click the on‐screen button to show the velocity vs. time graph. This graph plots the value of the velocity as time passes. Clear the graphs and try again. Move the man manually from 0 to 10 meters in 10 seconds—as smoothly as possible—at 1 m/s. The simulation’s “stopwatch” reading indicates time. More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 c. Sketch the resulting position vs. time and velocity vs. time graphs on the graphs page at the end of this write‐up. Step 3: Programmed Man a. Make sure the position and velocity graphs are showing (with the time scale set from 0 to 10 seconds) and the acceleration graph is hidden (deleted). Clear the graphs. b. Set the initial position of the man to 0 m. (Use the slider or type it into the value box.) c. Set the initial velocity of the man to +1.0 m/s. (Use the slider or type it into the value box.) d. Click an on‐screen Go button and observe the resulting motion graphs. Sketch both graphs (position vs. time and velocity vs. time) on the graphs page at the end of the lab. e. Clear the graphs. Set the initial velocity of the man to +2.0 m/s and run the simulation again. The motion ends when the man hits the wall. Stop the simulation when that occurs. Disregard data from the wall impact and beyond. Describe two differences in the position vs. time graph. (Hints: rise/run; duration.) f. Add lines to your previous sketch representing the +2.0 m/s motion. Be sure to label both lines now plotted. And do not include plotted data after the impact with the wall. g. Add and label a dashed line to the graphs showing the result if the initial velocity of the man were +5 m/s. (Note: do not carry this procedure out on the simulation.) h. Describe two changes that occur on the velocity vs. time graph each time you make the initial speed of the man greater. Step 4: Back Up the Choo­Choo a. Clear the graphs. The acceleration graph is still hidden. b. Set the initial position of the man to 0 m. Set the initial velocity of the man to –2.0 m/s. c. Run the simulation and observe the motion graphs. Again, the motion ends when Moving Man crashes into the wall, so stop the simulation when that happens. Sketch the graphs on the same set of axes used for Step 3, disregarding data from the wall impact and beyond. d. Clear the graphs. Set the initial velocity of the man to –4.0 m/s and run the simulation. Describe two differences in the position vs. time graph, and add a line to your previous sketch representing the –4.0 m/s motion. Be sure to label both lines now plotted. e. Add and label a dashed line to the graphs showing the result if the initial velocity of the man were –10 m/s. (Note: Do not carry this procedure out in the simulation.) More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 f. Describe two changes that occur on the velocity vs. time graph each time you make the initial speed of the man greater (faster in the negative direction). g. Click the on‐screen button to show the acceleration vs. time graph. What does the acceleration vs. time graph tell you about the motions observed so far? Step 5: Pickin’ Up the Pace a. Clear the graphs. All three graphs are now showing. b. Set the initial position of the man to 0 m. Set the initial velocity of the man to 0 m/s. Set the acceleration of the man to +0.5 m/s2. c. Run the simulation and observe the motion graphs. Sketch the graphs on the graph page. d. What does the acceleration vs. time graph tell you about the nature of this motion? (Do not refer to numerical values in your response.) Step 6: Once More, With Feeling a. Set the initial position of the man to 0 m. Set the initial velocity of the man to 0 m/s. Set the acceleration to the man to +2.0 m/s2. b. Run the simulation and observe the position vs. time graph. i. Sketch the graph on the same set of axes as part 5. ii. How is this position vs. time graph different from the one plotted in part 5 above? c. How does the velocity vs. time graph differ from the one produced in part 5 above? d. Based on what you learned in Steps 5 and 6, sketch all three motion graphs that the man would produce if he started at x = 0 m, v = 0 m/s, and a = –1 m/s2. Don’t actually carry this procedure out on the simulation. Simply sketch what you think it should be based on your experience. More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 Step 7: Round Trip a. With all three graphs showing, adjust the scale of the time axis to display 20 seconds. b. Set the initial position of the man to –10 m. Set the initial velocity to +3.0 m/s. Set the acceleration to –0.3m/s2. c. Run the simulation and observe the motion graphs. Sketch the graphs on the graphs page. d. Select the best descriptions of the velocity and acceleration of the man at the apex of his motion (when he’s is farthest from his starting point). Choose one description of the man’s velocity and one description of the man’s acceleration. Feel free to use the rewind and forward step features of the simulation. __The velocity is positive: the man is moving to the right. __The velocity is zero: the man is at rest. __The velocity is negative: the man is moving to the left. __The acceleration is positive: the man’s velocity is increasing. __The acceleration is zero: the man is maintaining constant velocity. __The acceleration is negative: the man’s velocity is decreasing. e. You overhear a classmate telling someone that it’s possible for an object to be at rest and accelerating at the same time. What do you think of that statement? Step 8: The Sloshing Man Puzzle a. Clear all graphs. Set the position near –2 m. Click and drag the man from –2 m to +2 m with uniform motion and let him rest. Then drag him from +2 m to –2 m with uniform motion and let him rest. Repeat. The resulting position vs. time graph should look similar to the plot below. Don’t worry about the time too much; what’s important is moving the man one way, then resting, then moving him the other way, then resting. Your lines won’t be as straight, and the “corners” of your graph will be rounder than those depicted below. Figure 2. Ideal Position vs. Time for Sloshing Man b. Examine the section of the plot enclosed in the dashed box. The velocity vs. time graph has a pattern similar to the one shown below. Unlike the time‐aligned graphs in the simulation, this graph may have been shifted horizontally. Draw a box to enclose the section of the velocity graph that corresponds to the boxed section of the position vs. time graph above. Figure 3. Ideal Velocity vs. Time Segment for Sloshing Man More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 c. The acceleration vs. time graph has a pattern similar to the one shown below. Again, this graph may have been shifted along the time axis. And it is not necessarily to scale. Draw a box to enclose the section of the acceleration graph that corresponds to the boxed section of the position vs. time graph above. Figure 4. Ideal Acceleration vs. Time Segment for Sloshing Man d. Sketch the velocity and acceleration plots in the space below the position plot in Figure 5 below. Figure 5. Motion Graph Segment for Sloshing Man e. Match the phrases below to the motion illustrated in Figure 5. Use points A, B, C, or D, or segments (e.g., AB, BD). Sustained positive velocity _______ Sustained negative velocity _______ Positive acceleration to start motion _______ Negative acceleration to start motion _______ Rest _______ Positive acceleration to stop motion _______ Negative acceleration to stop motion _______ More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480 More curriculum can be found in Pearson Addison Wesley‘s Conceptual Physics Laboratory Manual: Activities · Experiments · Demonstrations · Tech Labs by Paul G. Hewitt and Dean Baird. ISBN: 0321732480