Suppose you have a cube of copper metal that is 0.236 cm on a side with a mass of 0.1206 g. If you know that each copper atom (radius=128 pm) has a mass of How many atoms are there in this cube? What fraction of cube is filled with atom?
For unlimited access to Homework Help, a Homework+ subscription is required.
As shown in the figure below, a wooden cube measuring 20.0 cm oneach side floats in water with 80.0% of its volume submerged.Suspended by a string below the wooden cube is a metal cube. Themetal cube measures 10.0 cm on each side and has a specific gravityof 6.00. This means that the density of the cube is 6.00 timeslarger than that of water, which we take to be 1000 kg/m3.
(a) Which cube has a larger buoyant force acting on it?
i. the wooden cube
ii. the metal cube
iii. the buoyant forces are equal for both
(b) Taking the density of water to be 1000 kg/m3,what is the density of the wooden cube? (kg/m3)
(c) What is the tension in the string between the cubes? Assumethe string itself has negligible mass and volume. Use g =9.8 m/s2. (N)
(d) The pair of blocks is now placed in a different liquid. Whenthe blocks are at equilibrium in this new liquid, the buoyant forceacting on the wooden cube is exactly the same as the buoyant forceacting on the metal cube. What is the density of this new liquid?(kg/m3)
The diameter of an atom is about 10-10 m.(a) How many atoms make a line a millionth of a meter (10-6 m)long?1 atoms(b) How many atoms cover a square a millionth of a meter on aside?2 atoms(c) How many atoms fill a cube a millionth of a meter on aside?3 atoms(d) If a dollar were attached to each atom, what could you buy withyour line of atoms? With your square of atoms? With your cube ofatoms?
I have a little structure that is built of identical blocks thatare 1.00 cm cubes. I have four solid cubes of these little cubes ina stack. The bottom cube has 4 little cubes on each side â 4 X 4 X4, and it is placed such that 3 of its adjacent edges are along theX-, Y-, and Z-axes. The cube above is 3 little cubes on each side.It is also placed such that 1 of its edges is along the Z-axis, andthe other 2 adjacent edges are parallel to the X- and Y-axes. Thecube above it is 2 little cubes on each side.Again, one edge is along the Z-axis, with 2 adjacent edges parallelto the X- and Y-axes . And the very top cube is just a singlelittle cube. Again, one edge touches the Z-axis, and the 2 adjacentedges are parallel to the X- and Y-axes. You can see that thesmaller cubes are not centered over the largest cube, but all ofthe cubes are moved to one corner such that one edge of all thecubes is along (touches) the Z-axis.calculate the center of mass of this shapexcm = ?ycm = ?zcm = ?
