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Science · Advanced Physics
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Please help me solve this worksheet by answering a),b),c) and d) in fully complete answers. Thank you
Question. Define mathematically t error of a physical quantity obtained by experimental values frih. Define mathematically each term of the expression and define properly each term which has no formula. (25 points) Problem. Consider an object of mass m near the surface of the earth falling directly towards the center of the earth. The gravitational force g 0 between the object and the earth is nearly constant. Suppose the object starts from an initial point that is a distance ho 0 from the surface of the earth and moves to a final point a distance h(t) 20 from the surface of the earth. By Newtons second law: d2h(t) (0.1) which has the following solution (t) who vot (0.2) where ho is the initial height and Vo s the initial velocity. Consider the next experiment: for a freely falling object dropped from rest, we measure the next values: ti (s) hi (m) 1 82 2 69 2.5 55 a) Plot for this experiment h(t) versus t. (5 points) b) Does h(t) depend on the mass m? What happens if we consider the air frictional force? (5 points) c) Compute g with the best accuracy and formally rigorous, i e., using a linear regression. Hint: think about how to do a linear regression with the data. (50 points)
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