A 2.20-kg object is attachedto a spring and placed on frictionless, horizontal surface. Ahorizontal force of 14.0 N isrequired to hold the object at rest when it is pulled 0.200 m fromits equilibrium position (the origin of the x axis). Theobject is now released from rest from this stretched position, andit subsequently undergoes simple harmonic oscillations.
1. Find the force constant of the spring. [N/m]
2. Find the frequency of the oscillations. [Hz]
3. Find the maximum speed/ [m/s]
4. Where does this maximum speed occur? [x = + m]
5. Find the maximum accleration of the object. [m/s^2]
6. Where does this maximum acceleration occur? [x = + m]
7. Find the total energy of this oscillating system.
8. Find the speed of the object when its position is equal toone-third of the maximum value. [m/s]
9. Find the acceleration of the object when its position isequal to one-third of the maximum value. [m/s^2]
A 2.20-kg object is attachedto a spring and placed on frictionless, horizontal surface. Ahorizontal force of 14.0 N isrequired to hold the object at rest when it is pulled 0.200 m fromits equilibrium position (the origin of the x axis). Theobject is now released from rest from this stretched position, andit subsequently undergoes simple harmonic oscillations.
1. Find the force constant of the spring. [N/m]
2. Find the frequency of the oscillations. [Hz]
3. Find the maximum speed/ [m/s]
4. Where does this maximum speed occur? [x = + m]
5. Find the maximum accleration of the object. [m/s^2]
6. Where does this maximum acceleration occur? [x = + m]
7. Find the total energy of this oscillating system.
8. Find the speed of the object when its position is equal toone-third of the maximum value. [m/s]
9. Find the acceleration of the object when its position isequal to one-third of the maximum value. [m/s^2]
