A square steel plate is 10.0 cm on a side and 0.500 cm thick. (a) Find the shear strain that results if a force of magnitude 9.0×10^5 N is applied to each of the four sides, parallel to the side. (b) Find the displacement x (in centimeters).

You have three objects in front of you. Object A has a volume of $4{\mathrm{cm}}^3$. object B has a volume of $7{\mathrm{cm}}^3$. and object C has a volume of $10{\mathrm{cm}}^3$. They all have the same mass. What is the correct ranking of the objects from most dense to least dense?

Suppose a cubic box contains so much air at $0\mathrm{℃}$ that the mass of the air inside is equal to the mass of $1.0\mathrm{L}$ of water. What would be the side length of such a box?

Different materials in the body have different densities, and therefore will tend to make a person float or sink to different extents. Which bodily material is most buoyant (helps you stay afloat the most)?

A brass wire is to withstand a tensile force of 350 N without breaking. What minimum diameter must the wire have?

In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16×10^8 Pa (about 1.15×10^3 atm). (a) If a cubic meter of water is taken from the surface to this depth, what is the change in its volume? (Normal atmospheric pressure is about 1.0×10^5 Pa. Assume that k for seawater is the same as the freshwater value given in Table 11.2.)

A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6×10^6 Pa, and the volume is found to decrease by 0.45 cm^3. What is the bulk modulus of the material and the compressibility?

A solid gold bar is pulled up from the hold of the sunken RMS Titanic. (c) The bulk modulus of lead is one-fourth that of gold. Find the ratio of the volume change of a solid lead bar to that of a gold bar of equal volume for the same pressure change.

Stress on a Mountaineer's Rope. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon?