physics

a 3.5 kg block is accelerated from rest by a compressed spring of spring constant 640 N/m. The block leaves the spring at the springs relaxation length.The block then travels over a horizontal floor with coefficient of kinetic friction 0.25. The friction force stops the block in a distance D = 7.8 m.
What is the increase in the thermal energy of the block+floor system?

  1. 👍
  2. 👎
  3. 👁
  1. All of the stored potential energy of the spring, (1/2)kX^2, winds up as heat. X is the spring compression, which they don't tell you.

    You can compute the heat generated another way:
    Friction work = M*g*Uk*X = 66.9 J

    1. 👍
    2. 👎
  2. What is the original compression distance of the spring?
    Thought it would be zero but that isn't right.

    1. 👍
    2. 👎
  3. You can calculate the spring compression X from
    66.9 J = (1/2)kX^2, but you don't need it. 66.9 J is the thermal energy increease.

    They gave you more information than you need to answer the question

    1. 👍
    2. 👎
  4. (a) W=F*X
    W= u*Fn*X
    =>M*g*uk*X -> 4.3kg*0.26*7.8m

    (b) same as (a)

    (c) Us=0.5*k*x^2
    => (a)=0.5*640N/m*x^2
    figure out X from that

    [very late but someone might benefit from this]

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A block of mass 0.229 kg is placed on top of a light, vertical spring of force constant 4665 N/m and pushed downward so that the spring is compressed by 0.093 m. After the block is released from rest, it travels upward and then

  2. physics again it didnt work.

    A moving 1.60 kg block collides with a horizontal spring whose spring constant is 295 N/m. The block compresses the spring a maximum distance of 3.50 cm from its rest position. The coefficient of kinetic friction between the block

  3. Physics

    A 263-g block is dropped onto a vertical spring with force constant k = 2.52N/cm. The block sticks to the spring, and the spring compress 11.8 cm before coming momentarily to rest. while the spring is being compressed, how much

  4. Physics

    A moving 3.20 kg block collides with a horizontal spring whose spring constant is 224 N/m. The block compresses the spring a maximum distance of 5.50 cm from its rest position. The coefficient of kinetic friction between the block

  1. 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. You

  2. Physics

    The horizontal surface on which the block slides is frictionless. The speed of the block before it touch the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 0.15 m? The spring

  3. physics

    1.) A vertical spring with a spring constant of 450 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is

  4. 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

  1. 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

  2. physics

    A block with mass m = 17 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4201 N/m after being compressed a distance x1 = 0.556 m from the spring’s unstretched length. The floor is

  3. Physics please help?????

    A 540 g block is released from rest at height h0 above a vertical spring with spring constant k = 320 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 19.8 cm. How much

  4. Physics

    VERY URGENT PLEASE HELP!!! A block of mass 493 g is pushed against the spring (located on the left-hand side of the track) and compresses the spring a distance 4.9 cm from its equilibrium position (as shown in the figure below).

You can view more similar questions or ask a new question.