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\(^{-2}\)]
| S/N | m/g | t\(_{1}\)/s | t\(_{2}\)/s | t\(_{1}\)+t\(_{2}\)/s | t\(^{2}\)/5\(^{2}\) | a=\(\frac{24}{t^{2}}\) | T=\(\frac{m}{1000}\)(10-a) | X=\(\frac{a}{R}\) |
| 1.0 | 50.0 | 5.00 | 5.00 | \(\frac{5.0+5.0}{2}\)=5 | 25.000 | 0.110 | 0.490 | 1.380 |
| 2.0 | 70.0 | 4.80 | 4.80 | \(\frac{4.8+4.8}{2}\)=4.8 | 23.040 | 0.120 | 0.690 | 1.50 |
| 3.0 | 90.0 | 4.60 | 4.60 | \(\frac{4.6+4.6}{2}\)=4.6 | 21.160 | 0.130 | 0.890 | 1.630 |
| 4.0 | 110.0 | 4.40 | 4.40 | \(\frac{4.4+4.4}{2}\)=4.4 | 19.360 | 0.140 | 1.080 | 1.750 |
| 5.0 | 130.0 | 4.20 | 4.20 | \(\frac{4.2+4.2}{2}\)=4.2 | 17.640 | 0.150 | 1.280 | 1.880 |
h = 1.4m = 140cm
R = 0.08m = 8cm
h = 1.4m
R = 8cm = 0.08cm
xvi. Precautions; i
- ensured that no parallax error when talcen my reading with metre rule.
- made sure, the clamp was properly tightened.
- ensured that the experiment was not affected by air interference.
(b)i. Centripetal force (F\(_{T}\)) is defined as that inward force required to keep an object moving with a constant speed in a circular path F\(_{T}\) = \(\frac{mo^{2}}{r}\)
ii. K.e = P.e
½ mv\(^{2}\) = mgh
\(\frac{V^{2}}{2}\) = gh
V\(^{2}\) = 2gh
V\(^{2}\) = 2 x 10 x 2
V = \(\sqrt 40\) = 6.37mls.
Contributions ({{ comment_count }})
Please wait...
Modal title
Report
Block User
{{ feedback_modal_data.title }}