Study the diagrams above and use them as guides in carrying out the following instructions.

1. Using the spring balance provided, determine the weight of the object of mass M= 50.0g in air. Record this weight as W\(_{1}\).
2. Determine the weight of the object when it is completely immersed in water contained in a beaker as shown in the diagram above. Record the weight as W\(_{2}\).
3. Determine the weight of the object when it is completely immersed in a liquid labeled L. Record the weight as W\(_{3}\).
4. Evaluate U = (W\(_{1}\) - W\(_{2}\)) and V = (W\(_{1}\) -W\(_{3}\)).
5. Repeat the procedure with the objects of masses M= 100g, 150g, 200g, and 250g
6. In each case, evaluate U = (W\(_{1}\) - W\(_{2}\)) and V = (W\(_{1}\) -W\(_{3}\)).
7.  Tabulate your readings.
8. Plot a graph with V on the vertical axis and U on the horizontal axis.
9. Determine the slope, s, of the horizontal graph.
10. State two precautions taken to ensure accurate results.

(b)i. State Archimedes' principle.

ii.  A piece of brass of mass 20.0g is hung on a spring balance from a rigid support and completely immersed in kerosene from of density 8.0 x 10\(^{2}\)kgm\(^{-3}\).  Determine the readings of the spring balance (g= 10ms\(^{-2}\), density of brass 8.0 x 10\(^{3}\)kgm\(^{-3}\))