As shown in the figure below, a cow walks leftward 15\,\text m15m15, start text, m, end text to eat some flowers, then walks rightward 25\,\text m25m25, start text, m, end text to munch on some apples. The cow walks a total time of 510\,\text s510s510, start text, s, end text.

Determine the age of a fossil if it had only one eighth of its original carbon-14 content remaining?

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.