Please help me answer this.

Questions 1. Did the results of this experiment verify that F 2 ma? 2. Considering frictional forces, which force would you expect to be greater: the hanging weight or the resulting total mass times acceleration? Did the results of this experiment consistently show that one was larger than the other? 3. Why is the mass in F = me not just equal to the mass of the cart? 4. When calculating the force on the cart using mass multiplied by gravity, why isn*t the mass of cart included? NEWTON'S SECOND LAW l Objectives The purpose is to verify Newton's Second Law. F = ma. Theory According to Newton's Second Law, F = ma. F is the net force acting on the object of mass m and a is the resulting acceleration of the object. For a cart of mass m1 on a horizontal track with a string attached over a pulley to a mass m1 (see Figure 1), the net force F on the entire system (cart and hanging mass) is the weight of hanging mass, F = mg, assuming that friction is negligible. According to Newton's Second Law, this net force should be equal to ma, where m is the total mass that is being accelerated, which in this case is m] +m:_ This experiment will check to see if meg is equal to (m, +mz)a when friction is ignored. To obtain the acceleration, the cart will be started from rest and the time {t} it takes for it to travel a certain distance {11) will be measured. Then since (3 =ar3, the . . 2d . acceleration can be calculated using a. = . (assuming that o; = constant). :- MATERIALS NEEDED: Dynamics Cart {ME-9430) Dynamics Cart Track Super Pulley with clamp Base and Support rod String Mass hanger and mass set Stopwatch Wooden or metal stopping block Mass balance Procedure 1. Level the track by setting the cart on the track to see which way it rolls. Adjust the leveling feet to raise or lower the ends until the cart placed at rest on the track will not move. 2. Use the balance to find the mass of the cart and record in Table 7.1. 3. Attach the pulley to the end of the track as shown in Figure 1. Place the dynamics cart on the track and attach a string to the hole in the end of the cart and tie a mass hanger on the other end of the string. The string must be just long enough so the cart hits the stopping block before the mass hanger reaches the floor. 4. Pull the cart back until the mass hanger reaches the pulley. Record this position at the top of Table 7.1. This will be the release position for all the trials. Make a test run to determine how much mass is required on the mass hanger so that the cart takes about 2 seconds to complete the run. Because of reaction time, too short of a total time will cause too much error. However, if the cart moves too slowly, friction causes too much error. Record the hanging mass in Table 7.1. Fig adjustable end slop Figure 1. Equipment Set Up 5. Place the cart against the adjustable end stop on the pulley end of the track and record the final position of the cart in Table 1. 6. Measure the time at least 5 times and record these values in Table 1. 7. Increase the mass of the cart and repeat the procedure. Data Analysis 1. Calculate the average times and record in Table 1. 2. Calculate the total distance traveled by taking the difference between the initial and final positions of the cart as given in Table 1. 3. Calculate the accelerations and record in Table 2. 4. For each case, calculate the total mass multiplied by the acceleration and record in Table 2. 5. For each case, calculate the net force acting on the system and record in Table 2. 6. Calculate the percent difference between FNET and (m, +m, )a and record in Table 2. REFERENCES 1. Physics Laboratory Experiments 4" Edition, Jerry D. Wilson @ 1994 D.C. Heath and Company; Lexington, Massachusetts 2. Laboratory Manual In Conceptual Physics 2nd Edition, Bill W. Tillery @ 1995 Wm. C. Brown Communications, Inc. Dubuque, IA 3. Laboratory Experiments in College Physics 7" Edition, Cicero H. Bernard, Chirold D. Epp @ 1995, John Wiley and Sons, Inc. New York 4 . Experiments in Physics 2" Edition, Peter J. Nolan, and Raymond E. Bigliani @ 1995 Wm. C. Brown Publishers; Dubuque, IA 5. College Physics 5" Edition, John D. Cutnell and Kenneth W. Johnson @ 2001 John Wiley and Sons, Inc. New York 6. Physics for Scientists and Engineers (with Modern Physics) 5 Edition by Raymond A. Serway & Robert J. Beichner @2000 Saunders College Publishing, PhiladelphiaTable 1. Position and time of cart and mass Initial Release Position 74cm Final Position 3cm Total distance (d) 71cm Cart Hanging Trial 1 Trial 2 Trial 3 Trial 4 Trial 5 Average Mass Mass Time Time Time Time Time Time 520g 20g 2.0s 1.96s 1.98s 1.98s 2.00s 1.984s 770g 27g 1.99s 1.99s 2.01s 2.01s 2.01s 2.002s 1270g 15g 2.01s 2.0s 2.01s 2.02s 2.0s 2.008s Table 2. Acceleration of the cart and mass system Cart Mass Acceleration (m1 + mz)a Fnet = mzg % Difference 520g 36.07 cm/$2 19477.8 19600 0.63% 770g 35.43 cm/$2 28237.7 26460 6.30% 35.22 cm/$2 46314.3 4.78% 1270g 44100