MOM – C – Collisions – Explosions and Recoil - Lab Name____________________________ SIMULATION Go to essential-physics.com Enter this code: 841 9439 Click on the “Investigations”icon Scroll down and click on “11A: Conservation of Momentum” Scroll down and click on the “iPhysics” icon - - to launch the simulation The law of conservation of momentum is a powerful generalization of Newton’s third law. For an isolated system, the total momentum of all the objects inside is constant. In this investigation, you will explore the conservation of momentum for two carts that are subject to no outside net force. The only catch is that the carts have a compressed spring inserted between them! Is momentum conserved for this system? Part 1: Conservation of momentum for spring-loaded carts 1. Select a mass for each cart. 2. Press [Run] to start the simulation. 3. Run the simulation for different combinations of masses for the two carts. Use your data table to record the mass and velocity for each combination. 1 Table 1: Tabulate the velocities and calculate the momentum and kinetic energy of each cart for masses 5, 10, and 15 kg. Use the results in this table to answer the questions below. m1 v1 p1 m2 v2 p2 (kg) (m/s) (kg m/s) (kg) (m/s) (kg m/s) 5 5 10 5 15 5 5 10 10 10 15 10 5 15 10 15 15 15 a. What similarities are there in the velocities and momenta when the masses of both carts are equal? b. What is the difference in velocity when one mass is twice that of the other? When one mass is three times the other? c. What is the difference in momentum when the masses are equal? When one cart has twice the mass of the other? When one cart has three times the mass of the other? Applying new knowledge 1. Define the law of conservation of momentum in one sentence. 2. Explain the connection between Newton’s third law of action/reaction, and the law of conservation of momentum for a closed, isolated system. 2 PLUNGER CARTS Procedure: 1. Using one cart with a retractable "plunger" and another cart without a plunger, place the two carts on the track between the two photogates. Push the retractable plunger into the plunger cart so that it locks and does not pop out. Place the plunger end of the plunger cart up against the other cart so that when you tap the peg on the top of the plunger cart, the spring-loaded plunger pops out and pushes the two carts apart, each passing through a photogate, as seen in figure 1. 2. When you are ready to collect data, click on the Collect button on the toolbar and lightly tap the peg on the top of the plunger cart so that the spring-loaded plunger pops out and pushes the two carts apart causing each cart to pass through a photogate. 3. Record the velocity of the carts in the data table for recoil on your student answer page for the time just after they recoil away from each other. 4. Repeat the experiment for several more runs, adding various amount of mass to each cart to see how the amount of mass affects the velocity and momentum of the carts before and after the collision. Remember to record the data in such a way that another lab group can understand how you have organized your data and use it to answer questions about your data DATA AND OBSERVATIONS Mass of one empty cart: 0.500 kg Length of card: _______________ m Fill in the data tables on the next page and answer the questions 3 Run Mass of Plunger Car, m1 (kg) Mass of Second Cart, m2 (kg) 1 2 3 4 5 Ru n 1 2 3 4 5 Momentu m p1 of m1 before collision (kg m/s) 0 0 0 0 0 Momentu m p2 of m2 before collision (kg m/s) 0 0 0 0 0 Velocity v1 of m1 Before Collision, (m/s) 0 0 0 0 0 Total Momentu m of System Before Collision 0 0 0 0 0 Velocity v2 of m2 Before Collision 0 0 0 0 0 Momentu m p1 of m1 after collision (kg m/s) Velocity v1 of m1 After Collision, (m/s) Momentu m p2 of m2 after collision (kg m/s) Velocity v2 of m2 Before Collision, (m/s) Total Momentu m of System After Collision In general, does the data collected for the recoil of the two carts seem to verify the law of conservation of momentum? Explain your answer and indicate which run of the recoil of the two carts best conserves momentum 4