Question
A wooden cube measuring 20.0 cm on each side floats in water with a certain percentage of its volume submerged. A small metal cube is
A wooden cube measuring 20.0 cm on each side floats in water with a certain percentage of its volume submerged. A small metal cube is suspended by a string below the wooden cube. The metal cube measures 10.0 cm on each side. Take the density of water to be 1000 kg/m3 and use g = 9.80 m/s2.
A note about specific gravity - when we say something has a specific gravity of X, we means its density is X times that of water. For instance, aluminum has a specific gravity of 2.7, so aluminum has a density 2.7 times that of water.
Part A: In the situation described above, the wooden cube is 70.0% submerged, and the metal cube has a specific gravity of 5.10 . Determine the density of the wooden cube.
_______ kg/m3
Part B:Determine the tension in the string connecting the two cubes.
_______ N
Part C: The pair of cubes is now placed in a different liquid. When the cubes are at equilibrium in this new liquid, the buoyant force acting on the wooden cube is exactly the same as the buoyant force acting on the metal cube. What is the density of this new liquid?
_______ kg/m3
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Lets start by solving each part of the problem stepbystep Part A Determine the density of the wooden cube Step 1 Calculate the volume of the wooden cube The wooden cube has a side length of 200 cm Con...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started