In the session long projects for this class, you will be asked to conduct experiments in a “virtual” laboratory. AssignmentWe will use the falling-ball simulation (Background: University of Oregon, n.d.) to calculate the acceleration of gravity on the Earth, Moon, and Mars. The most general equation for displacement is s = s0 + V0t + (1/2)at2wheres = displacement after time t s0 = initial displacement (location at t = 0) V0 = initial velocity (velocity at t = 0) t = elapsed time in seconds a = acceleration in m/s2 If the object starts at point s0 = 0 with initial velocity V0 = 0, then the equation becomes s = (1/2)at2Solving for a in terms of s and t, we geta = 2s/t2For a freely falling object in a vacuum, a is the acceleration of gravity, g. If we record the time required for an object to fall a distance s in a time t, we can solve for g. Using the simulation, record the time required for the ball to fall 1, 2, 3, 4, 5, and 6 meters. Organize your results in a table, as follows (the first row has been completed for you). Round numbers to the nearest two decimals.s (distance, m) t (time, s) 2s t2 (2s/t2)= g1 0.44 2 0.19 10.3323456 Answer the following questions.Why are all the number in the last column approximately the same? Which of the six trials would probably yield the most accurate estimate for g? Why? Compare your answer with the accepted value for g. How would you account for the discrepancy, if any? Repeat the simulation for the Moon and Mars. Record your data in tables, as above. Compare your results with the accepted values for Lunar and Martian gravity (Google “Gravity on other planets.”)SLP Assignment Expectations:Points Allocation for GradingItem Max Points Component1 40 Ran the simulation and obtained correct results for the Earth, Moon, and Mars (parts 1, 3, and 4) 2 60 Correct, detailed answers to the questions in part 2.In general, SLPs are expected to possess the attributes of precision, clarity, breadth, depth, and applicability. Not all of these are relevant to the answer to every problem in the SLP. When it is relevant, the evidence for each attribute is as follows.Precision: Numerical answers are calculated correctly, to the correct number of significant figures. When a simulation is used, the results are accurate. Clarity: The problem is restated in its simplest form. Relevant variables are identified. Formulas are algebraically rearranged, as necessary. All the mathematical steps are shown, in logical order. Breadth: Where discussion is required, the question is placed in context. Alternatives are considered. Depth: Where discussion is required, the question is examined in detail. No relevant aspect of the question is omitted. Applicability: When required, the practical importance of the principle or phenomenon is accurately described.
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