a. Consider a 1.5-kg mass of a block attached to a spring ofspring 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 potentialenergy (PEs), kinetic energy (KE) and total mechanical energy(Etot) of the spring-mass system.
(ii) At rest/Displaced from Equilibrium: The mass is displaced 6cm to the left (negative X-direction) by compressing the spring,the spring-mass system is at rest at that position. Calculate thepotential energy (PEs), kinetic energy (KE) and total mechanicalenergy (Etot) of the spring-mass system.
(iii) In motion/At Equilibrium: When the spring-mass system isreleased from - 6.0 cm position, it moves back to the equilibriumposition. Calculate the potential energy (PEs), kinetic energy(KE), total mechanical energy (Etot) and velocity (v) of thespring-mass system as it reaches the equilibrium.
