Post a New Question

Physics

posted by .

A 2kg mass is attached to a spring of spring constant 20N/m. At t=0 the spring is at its relaxed position and the block is moving with a velocity of 4m/s to the right. Assume the positive direction is to the right. What is the speed of the mass when it is 1 meter from the equilibrium position?

A) 1.6 m/s
B) 2.4 m/s
C) 2.5 m/s
D) 3.1 m/s
E) 3.4 m/s

  • Physics -

    ω=sqrt(k/m) = sqrt(20/2) = 3.16 rad/s
    x=Asinωt
    v=Aωcosωt
    t=0 => cosωt=1

    A=v/ω =4/3.16=1.265 m
    x=Asinωt
    sinωt =x/A=1/1.265 =0.79
    cos ωt =sqrt{1-sin²ωt} = 0.612
    v₁=Aωcosωt =1.265•3.16•0.612 =2.4464 m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 65 N/m. Initially, the spring is at its relaxed length and the block is stationary at …
  2. Physics

    A 290 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.6 N/cm. The block becomes attached to the spring and compresses the spring 10 cm before momentarily stopping. (a) While the spring is being …
  3. physics

    The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 60 N/m. Initially, the spring is at its relaxed length and the block is stationary at …
  4. 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 …
  5. physics

    Two identical springs (neglect their masses) are used to “play catch” with a small block of mass 200 g (see the figure). Spring A is attached to the floor and compressed 10.0 cm with the mass on the end of it (loosely). Spring …
  6. physics help needed very urgent !!!

    The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 55 N/m. Initially, the spring is at its relaxed length and the block is stationary at …
  7. Physics to be solved

    The block in the figure below lies on a horizontal frictionless surface and is attached to the free end of the spring, with a spring constant of 55 N/m. Initially, the spring is at its relaxed length and the block is stationary at …
  8. Physics

    A block of mass m1=1.6kg, initially moving to the right with a velocity of +4m/s on a frictionless horizontal track, colides with a massless spring attached to a second block of m2=2.1kg moving left with a velocity of -2.5m/s. The …
  9. Physics

    A block of mass M=6 kg and initial velocity v=0.8m/s slides on a frictionless horizontal surface and collides with a relaxed spring of unknown spring constant. The other end of the spring is attached to a wall. If the maximum compression …
  10. physics

    At t = 0 a block with mass M = 5 kg moves with a velocity v = 2 m/s at position xo = -.33 m from the equilibrium position of the spring. The block is attached to a massless spring of spring constant k = 61.2 N/m and slides on a frictionless …

More Similar Questions

Post a New Question