Imagine you drilled a hole through earth on one of the main axes. What will the motion of a small mass be like that falls into this hole? (neglect friction and air resistance)

-Newton's law of gravity-Find mass as function of position-Find force as function of position-Use analogy to mass on spring to prove that this is simple harmonic motion-Calculate periodic time of oscillation
-Further discussiondraw v-t curve-Energies at extremal positions