Consider a 189 kg frictionless ramp and a 89 kg block that is at the top of the ramp, 9 m high.  The ramp is not fixed, but can slide frictionlessly across the floor.  The block slides down the ramp to the right (the positive direction).  Calculate the final velocity of the ramp, in m/s.  Assume that no gravitational potential energy is converted to heat. (Please answer to the fourth decimal place - i.e 14.3225)

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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.