Question 1 A student conducted several tests on circular motion. In the tests, mass A was swung on a circular path. Mass B provided the necessary force to balance mass A, resulting in a known radius as shown in the diagram. mass A radius mass B The student varied the masses and radius for each test. They measured the time for mass A to make 10 rotations three times for each mass and radius, then averaged the three results to produce the table shown. Test Mass of A (8) Mass of B (8) Radius of circle (m) Time for 10 rotations (s) 50 50 0.125 10 2 50 50 0.200 13 3 50 50 0.250 14 A 50 50 0.375 17 5 50 75 0.125 8 6 50 100 0.125 7 7 50 200 0.125 5 8 125 50 0.125 16 250 50 0.125 22 10 750 50 0.125 27 (a) Outline THREE different experiments conducted using the information from the table. (b) For Tests 5, 6 and 7, identify the dependent, independent and TWO controlled variables. (c) The student repeated all of the tests with 20 rotations. Would the experiment that used 10 rotations or the experiment that used 20 rotations be more reliable? Justify your answer. (d) Assuming there are no frictional forces, derive an equation for the radius of mass A in terms of v and g. Justify your