Theme 1: On the Move Aim: Experiment to investigate the acceleration due to gravity . OBJECTIVE: To study uniformly accelerated linear motion and to determine the acceleration due to gravity, g. Focus Questions When Galileo dropped two different sized spheres from the tower of Pisa, which one touched earth first? The large or small sphere? Why? If Galileo dropped a hammer and a feather from the tower which one will fall first? And if this experiment is done on the moon will there be a difference? Why? What force is pulling the objects towards earth? Do objects falling freely have the same acceleration provided there are no opposing forces? Do you know the value for this acceleration? Does the velocity of a free-falling object increases with time? Safety When measuring the distance h between light gates be careful to avoid parallax error .Make sure that the ball is released as close to the first light gate as possible so that initial velocity is nearly zero. Make sure that the light gates are horizontal and vertically aligned. The ball must be dropped directly above the first light gate. Measurements should be repeated as much as possible. The diameter of plasticene should be measured as accurately as possible. Ninu Cremona Lyceum – Gozo College – Physics Department Page 1 Date: ____________ Theme 1: On the Move Aim: Experiment to investigate the acceleration due to gravity. Apparatus: Retort stand and clamp, Nova 5000 data logger, plasticene balls, ruler, two light gates, a table tennis ball. Sources of error and precautions Method 1. Press the plasticene into a round ball. Adjust each light gates on a clamp and stand. Switch Nova 5000 on. Ensure that the AC/DC adapter is connected. 2. Attach the first light gate to Input 1 (I/O-1) of the Nova5000 and the second light gate to Input 2 (I/O-2) of the data logger. Launch MultiLab software. Click Tools on the menu bar, and then click Unit Settings and click Select Plot, Choose Input : Voltage – choose 3 decimal places. Repeat for input 2. 3. Click Logger on the menu bar, and then click Timing Wizard. Choose Time and click timing wizard – Method. Choose between gates. Press OK. 4. Adjust the light gates so that the distance between them is around 20 cm. One student holds the plasticene directly above the light gate. Release the plasticene ball and record the time taken using the data logger. This is repeated four times so that an average could be calculated. 5. Increase the distance between the light gates by around 10cm and record the results. Repeat four more times. All data is recorded in table 1. 6. Predict what would happen if a tennis ball of same shape is used. Which is the heavier? Would the gravity be the same or will it increase? Now test your prediction by finding the acceleration using Data logger. 7. Click Logger on the menu bar, and then click Setup. Choose Rate and choose 100 samples per second. Click Samples and choose 500. Press OK. Press Run. Drop the plasticene ball . Wait for the logger to stop. Ninu Cremona Lyceum – Gozo College – Physics Department Page 2 8. To find Acceleration -- Press Tools – Analysis – Timing analysis – Acceleration - Timing wizard – Method –Between gates - Enter width of ball in cm. Press Ok. Record Acceleration. Press run and repeat with table tennis ball. Results: Table 1 Height fallen - m Time -1 s Time - 2 s Time - 3 s Time - 4 s Average Time - s 1 2 3 4 5 Table 2 Height fallen m Height 2s m Average Time s Time t2 Average velocity V = s / t 1 2 3 4 5 The acceleration due to gravity in m/s2 was found using the equation – s = ut + ½ g t2 since we are assuming that initial velocity u is zero then we can write g = 2 s / t2 Using table 2 plot a graph of 2s against t2. Use the graph to find g Ninu Cremona Lyceum – Gozo College – Physics Department Page 3 Acceleration of table tennis ball- __________________ m/s Acceleration of plascticene ball- __________________ m/s Acceleration of plasticene ball - __________________ m/s obtained from graph REPORT: 1. Draw a diagram of the experiment apparatus? 2. Calculate the gradient of the graph. What should the slope or gradient of the graph be equal to? 3. What do you notice about the values of velocity as the heights fallen are increased? 4. Small variations between individual results should be observed and possible sources of error discussed. For example how precise was the height measurement, was the fall wobble-free, was the initial velocity of the dropped plasticene zero? 5. Comment on what your graphs say. Did you obtain a straight line? If not why? Does it start from zero? Why? 6. Will a large values of height fallen give more accurate values of g. Why? 7. Does the free fall acceleration depends on the body’s weight ? On using a tennis ball was the time taken different or was it the same? Is the value of g affected by the size of the ball? 8. Explain how it is that all bodies fall with the same acceleration? Ninu Cremona Lyceum – Gozo College – Physics Department Page 4