1a. (i) Using the spring balance provided, determine the weight of an object of mass M = 5.0 g. Record this weight as W\(_1\).
(ii) Determine the weight of the object when completely immersed in water contained in a beaker as shown in the diagram. Record the weight as W\(_2\).
(iii) Determine the weight of the object when it is completely immersed in the liquid labelled "L". Record the weight as W\(_3\). Evaluate u = (W\(_1\) - W\(_2\)) and v = (W\(_1\) - W\(_3\)).
(iv) Repeat the procedure with the objects of masses M = 10, 15, 20, and 25 g. In each case, evaluate v = (W\(_1\) - W\(_3\)) on the vertical axis against u = (W\(_1\) - W\(_2\)) on the horizontal axis.
(v) Determine the slope, s, of the graph.
(vi) State two precautions taken to ensure accurate results.[21 marks]
bi. A piece of brass of mass 20.0 g is hung on a spring balance from a rigid support and completely immersed in kerosene of density 8.0 × 10\(^2\) kgm\(^{-3}\). Determine the reading on the spring balance. [g = 10 ms\(^{-2}\), density of brass = 8.0 × 10\(^3\) kgm\(^{-3}\)]
(Provide your answer with unit e.g 123.123 m)
bii. Archimedes' Principle and Law of Floatation [2 marks]
1a. Tables of values
| M(g) | W\(_1\)(g) | W\(_2\)(g) | W\(_3\)(g) | U = (W\(_1\) - W\(_2\)(g) |
V = (W\(_1\) - W\(_3\)(g) |
| 5.0 | 5.00 | 4.20 | 4.70 | 0.80 | 0.30 |
| 10.0 | 10.00 | 7.90 | 8.60 | 2.10 | 1.40 |
| 15.0 | 15.00 | 12.75 | 13.50 | 2.25 | 1.50 |
| 20.0 | 17.10 | 17.10 | 16.40 | 2.90 | 3.60 |
| 25.0 | 22.10 | 22.10 | 21.40 | 2.90 | 3.60 |
S = \(\frac{y_2 - y_1}{x_2 - x_1}\) = \(\frac{3 - 0.8}{2.8 - 1.4}\) = \(\frac{11}{7}\) = 1.57.
Precaution
(i) I carefully avoided parallax error while reading the scale of the spring balance to ensure accurate measurements.
(ii) I checked and accounted for any zero error on the spring balance before taking measurements.
(iii) I handled the liquid carefully to prevent any splashing, which could lead to loss of material or inaccurate readings.
(iv) I ensured that the object did not touch the bottom or sides of the beaker to avoid interference with the force readings.
(v) I thoroughly cleaned the object (mass) before dipping it into the liquid to prevent contamination or alteration of the liquid's properties.
bii) Law of Floatation: The law of floatation states that an object will float in a fluid if its weight is equal to the weight of the fluid it displaces. For a floating object, the weight of the object is balanced by the upward buoyant force.
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