Physics

posted by .

A 6 kg block free to move on a horizontal, frictionless surface is attached to a spring. The spring is compressed 0.16 m from equi- librium and released. The speed of the block is 1.44 m/s when it passes the equilibrium po- sition of the spring. The same experiment is now repeated with the frictionless surface re- placed by a surface with coefficient of friction 0.1.
Determine the speed of the block at the equilibrium position of the spring. The accel- eration due to gravity is 9.8 m/s2 .

  • Physics -

    Someone please answer i need help and do not understand

  • Physics -

    kinetic energy of block released from spring = (1/2) mv^2 = .5*6 (1.44)^2
    = 6.22 Joules
    Now if there is friction, how much work is done against friction force?
    Work = F * d
    work = .1 * 6 * 9.8 * .16 = .941 Joules lost to friction

    so kinetic energy left in block = 6.22 -.941 = 5.28 Joules
    so
    (1/2) m v^2 = 5.28 Joules
    v^2 = (2 /6)(5.28)
    v = 1.33 m/s




    so energy stored in spring = 6.22 Joules if no friction
    (1/2) k x^2 = 6.22
    (1/2) k (.16)^2 = 6.22
    so
    spring constant k = 486 N/m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    An ideal spring with a stiffness of 329 N/m is attached to a wall, and its other end is attached to a block that has a mass of 15.0 kg. The spring/block system is then stretched away from the spring's relaxed position until 57.0 J …
  2. Physics

    A 46.5 kg block sits at rest on a frictionless, horizontal surface. It is connected horizontally, via a massless, ideal spring to a stationary wall. A force is then used to displace and hold the block in a new position (so that the …
  3. physics

    A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 210 N/m and is compressed a distance 2.60×10−2 m. The spring is released and accelerates the block along a horizontal surface. …
  4. phys2

    A 2.9-kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.34 m above the lowest part of …
  5. Physics

    A 2.95 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0330 m. The spring has force constant 900 N/m. The coefficient of kinetic friction between the floor and the block is 0.42 . The …
  6. Physics

    Suppose the block is released from rest with the spring compressed 5.50 cm. The mass of the block is 1.60 kg and the force constant of the spring is 965 N/m . Assume the surface is frictionless. A) What is the speed of the block when …
  7. Physics

    A 6 kg block free to move on a horizontal, frictionless surface is attached to a spring. The spring is compressed 0.16 m from equi- librium and released. The speed of the block is 1.44 m/s when it passes the equilibrium po- sition …
  8. mechanics

    Jayden holds a 3kg block pressed up against a spring on a horizontal and frictionless surface. The spring has a spring constant of 300Nm. The spring is fixed in place, but the block is free to move. The spring is initially compressed …
  9. Physics

    A 4.36 kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. The other end of the spring is fixed. The spring is compressed 0.144 m from equilibrium and is then released. The …
  10. physics

    a 7.0kg block and a 12kg block sit on a frictionless table. Between and touching, but not attached to, the blocks is a spring that is compressed by 13.5 cm. the spring has a spring constant of 1200 N/m. if the spring were released …

More Similar Questions