Pre-lab 7: Momentum and Impulse 1) From previous lab work, what is the mass of the IOLab device (include its % uncertainty)? 0.1965kg+3% 2) The change in momentum Dp of an object of mass m before and after an interaction is given by Ap = mAv where Dy is the its change in velocity during the interaction (Important: the sign of the velocity must be taken into account). The impulse on an object is defined as Fit where F is the force acting on an object and t is the time that the force is applied to the object during the interaction. The change in an object's momentum is equal to the impulse on the object. The product F-Dt can be found from the area a under the force-time F-t graph during an interaction. Therefore, in an interaction, how do you expect mAv to compare to the area a under the force-time F-t graph during the interaction? 3) We will use the IQLab device (with the spring accessory attached) and the IQLab software with the Force and Wheel sensors selected to measure the force and velocity on the IOLab device during an interaction, i.e., as it hits and bounces off of a solid object. The force on the IQLab cart is measured as the spring is pushed in and released. This force on the cart will be seen on a force-time F-t graph. The velocity of the cart will be seen on the v-t graph. We will measure Fit as the area a under the f-t graph during the interaction using the Histogram tool. We will measure the initial and final velocities on the v-t graph by hovering the cursor over the graph. Recall that the IOLab statistics have an uncertainty of $3%. Attach the spring to the IOLab device as it appears in this video. Open the IQLab software and select the Force and Wheel sensors (also, de-select Position and Acceleration under the Wheel sensor). Select a smoothing of 3 and Rezero sensor.Hit Record and give the IOLab device a push to get it going and then let it go so that it hits and bounces off a solid object e.g., a book, wall or your hand (as shown in the video). Hit Stop. Use the Magnifying tool to zoom-in on the graph of the interaction of the cart with the object. You may have to repeat this measurement many times to get a good result. Use the Histogram tool to select the area of the interaction. This is also shown in the video. Note: Unlike in the video, you will see only the green line on the v-t graph. Include a screenshot of both graphs with the selected area shown here:\fWhat is Fit or the area a under the F-t graph during the interaction (include its % uncertainty)? 0.150Ns+3% Hover the cursor over the v-t graph at the beginning of the selected area, i.e., immediately before the interaction. What is the velocity v; (include its % uncertainty)? -0.500m/s+3% Now determine the velocity immediately after the interaction yy What is the velocity vy (include its % uncertainty)? 0.367m/s+3% Calculate the change in velocity Ay = Ix- v; 1: |0. 367m/s -(-0. 500m/s)|= 0. 867m/s Important: the sign of the velocity must be taken into account Note: Ay is the absolute value of yo- v; (this is only because the IQLab is moving in its negative direction when the spring is facing forward; opposite the direction of the positive y-arrow on the device) Assume the % uncertainty of the difference between the initial and final velocities is the same as the % uncertainty of the individual velocities. What is the % uncertainty of Ay? Calculate mDy: Calculate the % uncertainty of mov: How do Fit and mDy compare? Don't forget to turn off your IQLab device