Two atoms in a diatomic molecule (masses m1 and m2) interact through a potential energy function of the form u(r) = a 4r 4 − b 3r 3 , where a and b are constants and r is the separation of the atoms. a) find the equilibrium separation of the atoms and the frequency of small oscillations about equilibrium, assuming the molecule does not rotate. how much energy must be supplied to the molecule in equilibrium in order to break it up (that is, so that r → [infinity])?

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.