points) Problem. Consider an object of mass m near the surface of the earth fall
ID: 1558109 • Letter: P
Question
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 from an initial point that is a distance ho 0 from the surface of the earth. By Newton's second law: a distance 20"rom the ace the d2h(t) (0.1) dt which has the following solution h (t ho vot gt2 (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)Explanation / Answer
D) No, we can not compute M and R, even if we know the acceleration due to gravity g at a h value since G is the universal gravitation constant = 6.67*10-11 N-m2/kg2 which is constant in any where in universe. But in the above formula there are two unkown quantaties such as M and R of the earth. We have only one equation.
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