Problem 151 _ _ _ Consider t e block hanging from a spring shown In the figure (see your textbook, Figure 11.6, for details). Sup pose the mass of the block is 1.5 kg and the system is at rest when the spring has been stretched 2cm from its original length (that is, with reference to the figure, yn ya = 0.02m). (a) What is the value of the spring constant k? {b} If you stretch the spring by an additional 2cm downward From this equilibrium position, and re- lease it, what will be the frequenCy of the oscil- lations? {c} Now consider the system formed by the spring, the block, and the earth, Take the "zero\" of gravitational potential energy to be at the height ya (the equilibrium point; you may also use this as the origin for the vertical coordinatel), and calculate all the energies in the system (kinetic, spring/elastic, and gravitational) at the highest point in the oscillation, the equilibrium point, and the lowest point. Verify that the sum is indeed constant. lal (bl [cl