Part 1: Impulse Momentum Theorem Motion sensor Force sensor Record the following: FMax: N Duration of collision (At): 5 Now place a piece of foam in front of the box and repeat the above measurements. FMax: N Duration of collision (At): 5 1) Recall the impulse-momentum theorem: AZFAt Assume that two different cars collide with a brick wall and suffer the same no. The airbag deploys in one car and fails to deploy in the other. Whyr (in terms of no, F and At in the above equation) does the driver of one car sustain less injury than the other? 2) Compare the values of Fmax and At for the cart collisions. What difference does the foam make? Part 2: Conservation of Momentum In this section, you will show that momentum is conserved for an elastic collision and for an nelastic collision. Remove the force sensor from the cart, then set up a motion sensor about 30cm from each end of the track and bring up a velocity vs. time graph for each. Place the other black plastic "foot" on the track and level it. Set the sampling rate of each motion sensor to 20 Hz. Experiment 1: Inelastic Collision 1) Write a momentum conservation equation for an inelastic collision between two carts. Identify the total initial momentum of the system and the final momentum of the system. Set up the following: Add 0.25 kg to Cart 1 so that its mass is 0.5 kg. It starts with Vli. Don't add mass to Cart 2 (its mass is 0.25 kg). It starts at rest. The velcro of one cart must face the velcro of the other. Start data collection. Give Cart 1 a quick push and let go. Let it collide with Cart 2. Record the following and make all velocities positive: VII= m/s V = m/sCalculate the following: Total initial momentum of the system: N 5 Total nal momentum of the system: N s refml ii. difference between :1.- and Pi = m x100: '3"; (Must be