A block of mass 0.0200 kg is connected to a spring on a horizontal, frictionless surface. The block is pulled 0.040!) m to the right of its equilibrium position and released. The frequency of oscillation is observed to be 19.5 Hz. (a) What is the spring constant? HINT: Remember that the spring constant is related to the mass and the period (or frequency). _ mm SPE KE SP KE SPE KE SPE KE (b) Which of the energy bar graphs above represents the energy of the block + mass system when the black is passing through the equilibrium position? (y (5) Which of the energy bar graphs represents the energy of the block + mass system when the block is at a turnaround point? v (d) What is the maximum spring potential energy of the mass + block system? HINT: Use the energy bar graphs to help you. J J (e) What is the maximum kinetic energy of the block? HINT: Take a look at the energy bar graphs. _w (1') What is the position (x) of the block when it has its maximum speed and maximum kinetic energy? HINT: Take another look at those energy bar graphs! Cl J m (Q) What is the total energy of the block + spring system? Remember that the total energy is conserved, so if you know KE + SPE at any location, you know the total energy. 9 J (h) What is the SPE of the system when the block when it is 0.02 m to the right of its equilibrium position? v J (i) What is the KE ofthe block when it is 0.02 m to the right of its equilibrium position? (Use conservation of energy here!) x J (j) What is the velocity of the block when it is 0.02 m to the right of its equilibrium position? =-x WE (K) Why does the answer to (j) include a I sign? I The block can be moving to the lefl or to the right. vi 9