You are provided with a retort stand, boss head, clamp, stopwatch, slotted weights, hanger, grooved pulley, thread, measuring tape, and other necessary materials. i. Measure and record the radius R of the pulley. ii. Setup the apparatus as illustrated in the diagram above, such that the clamp is 1.5 m above the floor. iii. Tie one end of the thread to the pulley. iv. Tie the other end of the thread to the hanger. v. Slot a mass m= 50 g on the hanger. vi. Wind the thread around the groove of the pulley until the base of the hanger is at a height h = 1.4 m above the floor. Maintain this height h for every other value of m through out the experiment. vii. Release the mass to unwind the thread. viii. Determine and record the time t taken by the mass m to reach the floor. ix. Evaluate t\(^{2}\) x. Also evaluate a =\(\frac{2h}{t^{2}}\),T = \(\frac{m}{1000}\) (10 - a) and \(\propto\) = \(\frac{a}{R}\) xi. Repeat the procedure for four other values of m = 70 g, 90 g, 110 g and 130 g xii. Tabulate your readings. xiii. Plot a graph with \(\propto\) on the vertical axis and T on the horizontal axis. xiv. Determine the slope s, of the graph. xv. Evaluate I = \(\frac{R}{s}\). xvi. State two precautions taken to obtain accurate results. (b)i. Define centripetal force ii. An object drops to the ground from a height of 2.0 m. Calculate the speed with which it strikes the ground. [g=10 ms\(^{-2}\)]