![]() ![]() The key is that the ball does experience an outside force, i.e., friction, as it rolls across the floor. But Aristotle was wrong, as is our first impression of the ball's motion. Our experience seems to agree with Aristotle's idea, that the "impetus" given to the ball is used up as it rolls. If we roll a ball across the floor, we know that it will eventually come to a stop, seemingly contradicting the First Law. Newton's first law states that any object at rest that is not acted upon by outside forces will remain at rest, and that any object in motion not acted upon by outside forces will continue its motion in a straight line at a constant velocity. The first law seems to be at odds with our everyday experience. His three laws of motion are the best known of these. Instead of the acceleration being 9.81 m/s^2 as I hypothesized, it was actually 6.73 m/s^2 when calculated due to calculation and experimental errors.Lab 3 - Newton's Second Law Introduction Sir Isaac Newton put forth many important ideas in his famous book The Principia. My hypothesis was only partially correct. ![]() I concluded that the velocity-time graph did go in a straight line. A random error that occurred was that one group member released the object, not in synchronization with the ticker timer which may have hindered the process of dots being recorded on the tape. The anticipated error was that the numbers would have been rounded and not completely accurate.Īnother systematic error is that the ruler is not 100% accurate when measuring it may be off by. One error might be in the calculations in Table 1. ErrorsĪfter performing the experiment, several errors were noted. We know that velocity changes with t = time and displacement changes with v = velocity. Given the formula vf = vi +at and d = (vf +vi/2). Due to a change in velocity, there was a change in displacement. This was because as time increases, velocity changed at a constant rate. The change in velocity of an object in free fall was directly proportional to the displacement. The velocity position graph (refer to graph 2) was curved because changing velocity means change in slope.ĥ. The slope of the velocity time graph was accelerating 6.74 m/s^2. The relationship between the change in velocity and elapsed time was that the velocity increases constantly as the time increases therefore they were proportionate.ģ. It was heading in a positive direction (refer to graph 1).Ģ. The velocity-time graph is in a straight line, meaning it was going at a constant acceleration. Therefore the acceleration throughout was 6.74 m/s^2 this may be caused by experimental errors and calculation errors.ġ. = 674 cm/s^2 (*note: To convert into meters, I divided (674 cm/s^2) by 100) Therefore at 0.2s, the average velocity was 92cm/s.Īcceleration was found by finding the slope of the velocity time graph. To find average velocity I did the following: One example calculation would be at 0.2 seconds, when displacement is 9.2cm. Position from the start (cm)Īverage velocity was found by dividing change in time by displacement. I measured and recorded the position from the start of the tape corresponding to each half time interval and then plotted a velocity-position graph using the velocities I recorded. ![]() ![]() I calculated the slope of the velocity-time graph, which gave me acceleration in cm/s^2. ![]()
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