Universal Gravitation

The aim of the experiment was to test how well a level air table can be used to simulate uniform motion. The puck was placed in an elastic launcher and launched on the air table while electric shocks measured the distance travelled. The puck travelled in a straight line, this is suggested by Graph #1 where a straight line is produced between total distance vs.

total time. The second graph didn’t produce a complete horizontal line due to the random error that was found at the third period. The horizontal line tells that the puck was travelling at a constant speed and would have accomplished uniform motion. The slope of the graph was calculated and the average speed of the puck was found to be at 0.49 + 0.02ms-1 .Although the lab was a success, there were problems found during the lab.

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One of them would be spinning of the puck when released from the launcher. The spinning was most likely caused because of an unequal force being applied on one side of the puck by elastic. This did not only cause the puck to travel in a curve line but also affected the measurement of the actual distance travelled by the puck during the designated amount of time.There were not any other errors caused by the apparatus.

It was stable enough for the experiment. Therefore, there is no need to change the apparatus if this experiment would be done again. However, some other materials could be used such as the mechanical device that distributes equal force to both sides of the puck and make the puck go straight.

This will bring improvements to the accuracy of measurement. When the mass of the system was unbalanced, I figured out that the more unbalanced the mass on both sides of the pulley then the motion will have a greater acceleration. This is due to the larger weight force that the side of the system with more mass has; this produces a bigger force in the direction of the side with a larger weight force.This can be explained with the Acceleration formula in Dynamic Systems: (Wb-Wa)/(Ma+Mb) Graphic Graph Analysis The previous graph displays how the acceleration increases.

Apparently the acceleration is constantly increasing with every 100 grams of difference in the pulley system. The following graph recorded from logger pro shows how the speed of the motion is constantly increasing and therefore there is a constant acceleration. Now what follows is the participation of the weight force.The acceleration is dependent on two things, the difference of the mass, and therefore the difference of the weight force. This is expressed in the formula (Wb-Wa)/(Ma+Mb)=a In order to justify the use of this formula we need to first find the weight force. I’ll use an example to justify this with 100 grams of difference between the two sides of the pulley.

 Wa=Ma x g –> Wa= 150 x 9.81 –>Wa=1471.5 newtons Wb=Mb x g–> Wb= 250 x 9.81 –>Wb=2452.5 newtons A= (Wb-Wa)/(Ma+Mb) –> 2452.

5 – 1471.5/250 + 150 = 2.45 ms-2 The result is almost the one that I got as the final average. This shows that the weight force and the mass are directly proportional and so affecting proportionally the acceleration of the system.