Question

One end of a spring with a force constant of k 10.0 N/m is attached to the end of a long horizontal frictionless track and the other end is attached to a mass m = 2.20 kg which glides along the track. After you establish the equilibrium position of the mass-spring system, you move the mass in the negative direction (to the left), compressing the spring 1.73 m. You then release the mass from rest and start your stopwatch, that is x(t = 0)--A, and the mass executes simple harmonic motion about the equilibrium position. Determine the following (a) displacement of the mass (magnitude and direction) 1.0 s after it is released magnitude See if you can use the relationship between simple harmonic motion (SHM) and uniform circular motion to obtain an expression for the displacement of the oscillating mass at any time. m direction to the right (b) velocity of the mass (magnitude and direction) 1.0 s after it is released magnitude direction See if you can use the relationship between SHM and uniform circular motion to obtain an expression for the velocity of the oscillating mass at any time. m/s to the right (c) acceleration of the mass (magnitude and direction) 1.0 s after it is released magnitude direction See if you can use the relationship between SHM and uniform circular motion to obtain an expression for the acceleration of the oscillating mass at any time. m/s to the left (d) force the spring exerts on the mass (magnitude and direction) 1.0 s after it is released magnitude What does Hooke's law tell us about the relationship between the force and the displacement? What does Newton's Second Law tell us about the relationship between the force and the acceleration? N direction to the left (e) How many times does the object oscillate in 12.0 s? (Do not round your answer to an integer.) oscillations

Answer 1