In: Physics
a. Consider a 1.5-kg mass of a block attached to a spring of spring constant 16.0 N/m on a frictionless table.
(i) At rest/At Equilibrium: The spring-mass system is at rest, the mass is at the equilibrium position. Calculate the potential energy (PEs), kinetic energy (KE) and total mechanical energy (Etot) of the spring-mass system.
(ii) At rest/Displaced from Equilibrium: The mass is displaced 6 cm to the left (negative X-direction) by compressing the spring, the spring-mass system is at rest at that position. Calculate the potential energy (PEs), kinetic energy (KE) and total mechanical energy (Etot) of the spring-mass system.
(iii) In motion/At Equilibrium: When the spring-mass system is released from - 6.0 cm position, it moves back to the equilibrium position. Calculate the potential energy (PEs), kinetic energy (KE), total mechanical energy (Etot) and velocity (v) of the spring-mass system as it reaches the equilibrium.