Final answer:
The three basic fundamental quantities are length (meter), mass (kilogram), and time (second). The density of another liquid in which a body weighs 0.36N can be found using the weight difference and Archimedes' principle compared to the weight in water, which is 0.32N. For a body to float, its density must be less than or equal to the fluid's density and it must displace fluid weight equal to its own weight.
Step-by-step explanation:
The question you have asked involves understanding the concept of buoyancy and density in Physics. Here is the answer to your questions:
Basic Fundamental Quantities and Their Units
The three basic fundamental quantities and their respective SI units are:
- Length - meter (m)
- Mass - kilogram (kg)
- Time - second (s)
Density of the Other Liquid
Using Archimedes' principle, we can establish that the upward buoyant force acting on the body when immersed in a fluid equals the weight of the fluid displaced by the body. Given that the body weighs less in water (0.32N) and more in the other liquid (0.36N), the difference in weight is due to the different buoyant forces due to the density of the liquids. Since water has a known density of 1000 kg/m³, we can use the ratio of the weights to find the density of the other liquid.
Law of Flotation
The law of flotation states that a body will float in a fluid if the body displaces a weight of fluid equal to its own weight.
Conditions Necessary for a Body to Float
Two conditions necessary for a body to float are:
- The density of the body must be less than or equal to the density of the fluid.
- The body must displace a volume of fluid whose weight is equal to the weight of the body.