A mass m is attached to a spring and is initially at rest at its equilibrium length (x = 0). You apply a force F to stretch the spring to a distance d, at which point the mass is again at rest with the spring stretched. You then release the mass and it starts to move back towards its equilibrium position. \fa) [10 pts] If the mass slides on a frictionless air track, determine the speed v of the mass at the instant when the spring returns to its equilibrium length. Your answer should be expressed in terms of F , d, m, and any necessary physical constants. Note: your answers should not include k, the spring constant, but it can inciude F. b) [8 pts] How much time elapses between the moment you release the mass and when it rst returns to its equilibrium length? Your answer should be expressed in terms of F , d, m, and any necessary physical constants. Hint: It may help to think about how to calculate the time it takes for the mass to oscillate once and return to a'. c) [12 pts] You try the experiment again, but now the mass slides on a rough table with friction. You nd that, after you release the mass from the point 0', it comes to rest just when it reaches its equilibrium position. Determine the coefficient of kinetic friction, pk, between the mass and the table. Your answer should be expressed in terms of F, d, m, and any necessary physical constants