Please answer the question. Explain how you solved problems step by step and show pictures of the work. Use measurements given. Please calculate the speed after the collision. We didn't calculate the speed during the lab but for a substitute use the angle and distance to the center of mass(RCM) to find the height, then use the height to calculate the speed of the ball after the collision. Thank you.

From Calculation Section

1. Use the angle for each case, and the distance to the center of mass, RCM, to find the height reached by the CM in each case. Use that height to calculate the speed of the ball (and pendulum) immediately after the collision. For the sake of simplicity, treat the ball and pendulum as a point mass located at the CM. Record that speed in table 2 to the thousandths place.

Physics 3A - LBCC Lab #7 Ballistic Pendulum Purpose In this experiment you will use a ballistic pendulum to study the conservation of linear momentum. Equipment The equipment consists of a Pasco combination Ballistic PendulunuProjectile Launcher, 30-cm, HT. and Z-m rulers, a triple beam balance, a C-clamp for clamping the launcher to the lab table, tape. and carbon paper that will record a mark where the projectile hits it. The projectile is a 25 mm diameter steel ball. Safety NEVER look into the barrel of the projectile launcher when it is loaded. Anyone who is going to be standing anywhere near the path of the projectile should be wearing either their own shatter resistant prescription glasses, or safety goggles. Theory The projectile launcher can repeatedly launch the steel ball at a constant initial speed. The steel ball then collides with and becomes attached to the ballistic pendulum, in a completely inelastic collision. In this collision, linear momentum is conserved, but total mechanical energy is not conserved. After the collision, as the ballistic pendulum swings upward, total mechanical energy is conserved. By knowing the masses of the steel ball and the pendulum. and the nal height reached by the center of mass of the combination. the initial speed of the ball can he found. This can be compared to the speed of the ball found from the equations of projectile motion. Procedure The projectile launchert'hallistic pendulum should be clamped to the table top when ring the projectile. both for safety reasons and to give consistent results. Never place the ramrod into the projectile launcher without a ball in the launcher. Watch the video showing the setup and operation of the ballistic pendulum. Table 1 I Set up the projectile launcherfballistic pendulum as shown in the video. Mount the projectile launcher so that it res horizontally into the ballistic pendulum. Measure the mass of the steel ball. and record in table 1. Remove the ballistic pendulum from the projectile launcher. 2 Clamp the projectile launcher at one end of the lab table. so that the projectile will land on the oor. Measure the vertical distance from the oor to the bottom of the ball when it is in its launch position. shown as a white circle marked \"Launch Position of Ball\" on the side of the projectile launcher. Record as h in table 1. 3 Test re the ball at the MEDIUM RANGE setting, and note where it hits the oor. Tape a piece of paper to the oor at that location, and place carbon paper over it. Then do four test rings. measure the horizontal distance traveled, than average and record as d in table 1. 4 Repeat step 3 at the LONG RANGE setting. Table 2 1 Remove the attached brass masses from the pendulum. 2 Place the steel ball in the ball catch. Weigh the combination and record in table 2. 3 Balance the pendulum perpendicular to its length (with the steel ball in the ball catch} to nd the location of the center of mass. Measure the distance RCM from the pivot to the CM, and record in table 2. See gure 1. Ball catch with steel ball \\I gure 1 4 Mount the pendulum on the projectile launcher. load the steel ball into the projectile launcher at the MEDIUM RANGE setting. lower the pendulum to 39'30198 Physics 3A - LBCC Lab #7 the vertical position, set the angle marker to zero, Calculation Section then fire the projectile into the pendulum. Record the angle to the nearest 0.5 in table 2. The ball 1 Use the angle for each case, and the distance to the should stay in the ball catch on the pendulum. If it center of mass, RCM, to find the height reached by comes out, re-do the trial. the CM in each case. Use that height to calculate the speed of the ball (and pendulum) immediately after 5 Repeat step 4 with the launcher set at the LONG the collision. For the sake of simplicity, treat the RANGE setting. ball and pendulum as a point mass located at the CM. Record that speed in table 2 to the thousandths 6 Repeat steps 2 to 5 with one brass mass attached to place. the bottom of the pendulum, 2 Using this speed, and the fact that the collision is 7 Repeat steps 2 to 5 with two brass masses attached completely inelastic, calculate the speed of the ball to the bottom of the pendulum. before the collision, and record in table 2 to the hundredths place. Data Section 3 Then, calculate the speed of the ball before the Before you leave the lab you need to fill out the collision, using the horizontal distance d, and information in table 1 and to the left of the vertical vertical distance h from table 1, and the equations double line in table 2. Be neat and clear as you fill out describing projectile motion. Record in table 2 to each table. Write and circle your name at the top of the the hundredths place. Use this speed as the data page, and bring up the data page as a group and "accepted value" when doing the percent show it to the instructor before you leave the lab. Do not discrepancy calculation. take down and put away the equipment until after the instructor approves your data. 4 Calculate the percent discrepancy, and record in table 2 to the proper number of significant figures. Mass of steel ball kg NOTE: Technically this collision conserves angular h, vertical distance m momentum, not linear momentum, but for the sake of d, average horizontal distance at MEDIUM m simplicity, we will treat it as conserving linear momentum, d, average horizontal distance at LONG m which is correct within several percent. Table 1 Masses Mass of RCM Range Angle Speed after Speed before Speed from Percent attached to pendulum from Setting collision collision projectile discr. pendulum plus ball pivot to equations CM No Mass Medium m/s m/s m/s kg m Long m/s m/s m/s One Mass Medium m/s m/s m/s kg m Long m/s m/s m/s Two Masses Medium m/s m/s m/ kg m Long m/s m/s m/s Table 2 3/30/98Mass of steel ball 0.066 kg h, vertical distance 0.845 m d, average horizontal distance at MEDIUM 1.523 m d, average horizontal distance at LONG 2.08 m Table 1Masses Mass of RCM Range Angle Speed after Speed before Speed from Percent attached to pendulum from Setting collision collision projectile discr. pendulum plus ball pivot to equations CM No Mass Medium 43 m/s m/s 0.236 m/s % kg 0.26 m Long 60.5 m/s m/s m/s % One Mass Medium 340 m/s m/s m/s % 0.286 0.286 kg m Long 470 m/s m/s m/s % Two Masses Medium 290 m/s m/s m/s % 0.33 ko 0.31 m Long 39 m/s m/s m/s % Table 2