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UMass Amherst PHYSICS 131 - Physics lab #2

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How forces affect mass and acceleration Abstract: In this lab, we learned how forces cause objects to accelerate and what Newton’s first andsecond laws are. The first part of the experiment was to prove that Newton’s first law is correct; we did this by having three springs attached at one point on circular board and having the ends ofthe spring pulled back at different angles. This caused the center of the board to be motionless proving Newton’s First law. In the second portion of the lab, we used an air track and attached different masses on the side over a pulley, causing the force on the glider to accelerate down the track. We then verified Newton’s second law by changing the forces that were acting on the glider and taking a measurement of the glider’s acceleration. Questions:1.) There is no net force when an object is balanced or not in motion and therefore its velocity is constant. 2.) I would use the parallelogram method. To calculate my inner angle, I subtract the bigger angle from the smaller one: angle B minus angle A = 135-60 = 75 degrees. Now I know that the sum of the other angles should be 360 degrees, therefore 2x + 2(75)=360 and x = 105. We know from the law of cosine that the resultant vector AB is opposite of the 105 angle, so the vector is AB^2 = A^2 + B^2 –(2A)(B)Cos(105) = the square root of 80^2 + 40^2 + 2(80)(40)cos(105). A-B = 19.635. Also to find the third side AB I would use the Pythagorean Theorem, A^2 +B^2 = C^2. So in this case it would be 80^2 + 40^2 =C ^2, 8000=C^2. Square root of 8000 = 89.44. 3.) The following is my data from part 2: hanging massmassratioaccelerationerror free fallacc. g5 41.58 0.242 0.0029 10.062420 11.145 0.88 0.0093 9.807640 6.0725 1.64 0.02 9.95894.) Three sources of error for part two of the experiment include starting the motion sensor for each trial at different times, the person in charge of holding the glider could have released it at different times for each mass, and the glider could have been moved and therefore no longer being 20cm away from the motion sensor, affecting the data and changing our results. 5.) When m was made twice as large the net acceleration and net force are doubled. I did not expect this to happen because free fall acceleration is always constant and this was verified in Lab 1. However, if M was made twice as large with m unchanged the net forceand acceleration would remain the same because gravity only affects the object vertically and not horizontally. 6.) Unlike the first lab where gravity was the only force on the object, in this lab gravity was pushing the object down in a negative direction while the glider was accelerating on the object in a positive direction. There were two forces on the object instead of just one. 7.) M would pull back because of the acceleration of the glider and m would fall down to theground because of the gravity that is pushing down on it, therefore it would be in free fall. 8.) The frictional force that should be present between M and the surface of the air track to keep the system stationary are the forces that I control which in this case would only be g and the different masses of m that are hanging from the pulley. Conclusion: In this lab we figured out how forces cause objects to accelerate. We also verified Newton’s first and second laws. The first law was verified in the first part of the lab where we saw that when the string was pulled in three different directions the object in the center wouldnot be moving, therefore the vector is zero. Newton’s second law was verified in the second part of the experiment; here we saw that the object m is not in free acceleration because when the hanging mass was doubled the acceleration was also doubled, therefore mass of m is directing proportional to acceleration. Since our average g in the experiment is 9.94m/s^2 it is within the accepted value because free fall acceleration is


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UMass Amherst PHYSICS 131 - Physics lab #2

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