\fPurpose: In this lab, you will use a ramp and marble to investigate the conservation of mechanical energy. Materials: . Aluminum ramp . Steel marble . Plumb line and bob Sheet of large graph paper . 2-4 sheets of carbon paper (please make sure you make it yourself before the lab) Meter stick Ruler . C-clamp Procedure: 1. Set up the equipment as shown. Measure the height of the ramp and the height of the lab table: Plumb bob ramp Graph paper A B 2. Place a piece of big graph paper right in front of the ramp on the floor. Use a plumb bob to locate the floor location just below the table edge. Mark this point on the paper as origin of the horizontal displacement. 3. Release the marble from the top of the ramp a few times to estimate the landing area. Place your carbon paper on the landing area. 4. Release the marble from the top of the ramp from rest. Each landing will leave a black mark on the graph paper. Repeat this step 10-20 times. Find the average range of the marble and record it in the table.Height of the ramp (m) 0.134 m = 13.4 cm Height of the lab table (m) 0.9 m = 90 cm Average Range of the Marble (m) 0. 51 m = 51 cm Average Range of different Marble 0.55 m = 55cm (m) Data Collection and Analysis 1. In order to verify the conservation of the mechanic energy, you will need to know the velocity of the marble when it reaches the end of the ramp (Vp). At the moment when it just leaves the edge of the ramp, it has only horizontal velocity. How would you find out this velocity with the equipment given? You might explain with a diagram. (Hint: the marble will follow the pattern of projectile motion once it leaves the edge of the ramp) [T 5] 2. Use the data you collected in the lab to calculate the VB. [T 6] 3. Do you need to take the measurement of the mass of the marble? Why or why not? [T 2] 4. If you use a different marble (different mass) to perforce the same lab, will you expect to have the same/different result for Vp? You might test it with a glass marble on a different graph paper. [T4] 5. Is the mechanical energy conserved at A and B? Are they the same/smaller/bigger? Explain some possible sources of errors. [T 3]