A 4.10-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 6.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations.

(a) Find the force constant of the spring. N/m

(b) Find the frequency of the oscillations.

Hz

(c) Find the maximum speed of the object.

m/s

(d) Where does this maximum speed occur?

x = ± m

(e) Find the maximum acceleration of the object.

m/s2

(f) Where does the maximum acceleration occur?

x = ± m

(g) Find the total energy of the oscillating system.

J

(h) Find the speed of the object when its position is equal to one-third of the maximum value.

m/s

(i) Find the acceleration of the object when its position is equal to one-third of the maximum value.

m/s2

(a) Find the force constant of the spring. N/m

(b) Find the frequency of the oscillations.

Hz

(c) Find the maximum speed of the object.

m/s

(d) Where does this maximum speed occur?

x = ± m

(e) Find the maximum acceleration of the object.

m/s2

(f) Where does the maximum acceleration occur?

x = ± m

(g) Find the total energy of the oscillating system.

J

(h) Find the speed of the object when its position is equal to one-third of the maximum value.

m/s

(i) Find the acceleration of the object when its position is equal to one-third of the maximum value.

m/s2

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