When at rest, a ruler has a length of 12.0 inches. how fast (in m/s) must the ruler fly past you in order for it to shorten to 6.00 inches in length? hint: to use scientific notation within canvas, use e+ instead of 10^ (ex. 3.00×108 = 3.00e+8).

Identify the type of synthetic material used in each object

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)

Arigid tank is divided into two equal parts by a partition. one part of the tank contains 3 kg of compressed liquid water at 400 kpa and 60°c while the other part is evacuated. the partition is now removed, and the water expands to fill the entire tank. determine the entropy change of water during this process, if the final pressure in the tank is 40 kpa. use steam tables.