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])?

If an inclined plane is 5 m long and 2 m high, what is its mechanical advantage? a. 2.5 b. 3 c. 7 d. 10

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 790 n/m. it is initially at rest on an inclined plane that is at an angle of 28 degrees with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is k = 0.14. in the initial position, where the spring is compressed by a distance of a = 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

Acertain radio station broadcasts radio waves that have a wavelength of 298cm what is its broadcast frequency?