10. ll. Trial I You are now ready to collect force and acceleration data. Grasp the Force Sensor hook. Click !?_E9fls?5___ and take several seconds to move the cart back and forth on the table. Vary the motion so that both small and large forces are applied. Make sure that your hand is only touching the hook on the Force Sensor and not the Force Sensor or cart body. Note the shape of the force vs. time and acceleration vs. time graphs. Click the Examine button, In, and move the mouse across the force vs. time graph. When the force is maximum, is the acceleration maximum or minimum? To turn off Examine mode, click on the Examine button, [I_. The graph of force vs. acceleration should appear to be a straight line. To t a straight line to the data, click the graph, then click the Regression Line button, l_. Record the equation for the regression line in the data table. Using the graphs, estimate the acceleration of the cart when a force of 1.0 N has acted upon it. Select lnterpolate from the Analyze menu. Move the mouse across the graph and detemiine the acceleration (x) when the force (y) is nearly 1.0 N. Record the force and acceleration in the data table. Repeat Step 7 using a force of1.U N. Save copies of each graph. Trial 2 Attach the 0.500-kg mass to the cart. Record the mass of the cart, sensors, and additional mass in the data table. Repeat Steps 4 9. ANALYSIS 1. 2. Compare the graphs of force vs. time and acceleration vs. time for a particular trial. Are the net force on an object and the acceleration of the object directly proportional? Explain. What are the units of the slope of the force vs. acceleration graph? Simplify the units of the slope to fundamental units (m, kg, s). For each trial compare the slope of the regression line to the mass being accelerated. What does the slope represent? Write a general equation that relates all three variables: force, mass, and acceleration. PROCEDURE 1. Use the provided experimental setup consisting of a cart equipped with a force sensor and the Low-g accelerometer, on a frictionless track. 2. Open the Experiment 9 folder from Physics with Vernier. Then open the experiment file that matches the force sensor you are using. Three graphs will appear on the screen, as shown in Figure 2. Last revised: 7/23/2020 Experiment 11 -ox Graph Window Force (1) * Time is) Force all Ace (m's') *Time (s) "Acceleration (m's'12 Figure 2 3. Place the cart on a level surface. Make sure the cart is not moving and click zero ], then click Zero all sensors