physics

posted by .

One end of a massless coil spring is suspended from a rigid ceiling. It is found that when a 3.3 kg mass is suspended from it the spring stretches 105 mm when the mass comes to rest.
(a) What is the spring constant for the spring?
(b) If the mass is then pulled down an additional 165 mm (by hand) and released from rest at that point, what will be the speed of the mass when it passes through the spring-mass rest position (this is where the spring was stretched 100.mm by the stationary mass).

  • physics -

    (a) k = Weight/Deflection
    = M g/(0.105 m) = 308 N/m

    (b) V at that time will be whatever makes the kinetic energy equal to the spring potential energy at maximum displacement from the equilibrium position. Refer spring potential energy to the equilbrium position.

    (1/2)k X^2 = (1/2) M V^2

    X = 0.165 m
    M = 3.3 kg
    Solve for V

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    One end of a massless coil spring is suspended from a rigid ceiling. It is found that when a 4 kg mass is suspended from it the spring stretches 90 mm when the mass comes to rest. (a) What is the spring constant for the spring B)If …
  2. physics

    When a 0.116 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.70 cm, compressing the spring 2.20 cm
  3. physics

    When a 0.116 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.70 cm, compressing the spring 2.20 cm
  4. physics

    When a 0.116 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.70 cm, compressing the spring 2.20 cm
  5. physics

    When a 0.116 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.70 cm, compressing the spring 2.20 cm
  6. PHYSICS

    When a 0.116 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.70 cm, compressing the spring 2.20 cm.
  7. Wayne community college

    When a 0.101 kg mass is suspended at rest from a certain spring, the spring stretches 3.80 cm. Find the instantaneous acceleration of the mass when it is raised 5.90 cm, compressing the spring 2.10 cm.
  8. Physics

    When a 0.111 kg mass is suspended at rest from a certain spring, the spring stretches 3.90 cm. Find the instantaneous acceleration of the mass when it is raised 6.20 cm, compressing the spring 2.30 cm.
  9. physics

    When a 0.106 kg mass is suspended at rest from a certain spring, the spring stretches 3.50 cm. Find the instantaneous acceleration of the mass when it is raised 5.20 cm, compressing the spring 1.70 cm.
  10. PHYSICS

    A block weighs 15 N and is suspended from a spring that is attached to the ceiling. The spring stretches by 0.075 m from its unstrained length. By how much does the spring stretch when a 24-N block is suspended from it?

More Similar Questions