A fireworks show is choreographed to have two shells cross paths at a height of 167 feet and explode at an apex of 204 feet under normal weather conditions. If the shells have a launch angle e- 63° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode. 37' 167' A/0 Answers: Vo- ft/sec d = i ft t = sec

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Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.