What is the energy transformation taking place from right before the toy car is released until the toy car reaches the bottom of the track?

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

Many machines- including inclined planes such as ramps- increase the strength of the force put into the machine but decrease the distance over which the force is applied.

Consider an insulating crystal, made up of layers of atoms. what form would you expect the temperature dependence of the phonon heat capacity to approach at extremely low temperatures if the interlayer coupling is i)very strong (rigid coupling), and ii) very weak. explain.