Physics

A block oscillates on a spring and passes its equilibrium position with a speed of .157m/s. It's kinetic energy is zero when the block is at the distance of .1m from equilibrium. Assume no friction between the block and the table.

v=.157m/s
KE =0J when x=.1m

a)First I need to find the period of the oscillation:
1/2 mv^2=1/2 k (.1)^2
solve for m/k
m/k=.405

T=2pi*sqrt(m/k)
=2pi*sqrt(.405)
=4 s

b) what's the mass displacement from the equilibrium when its velocity v=v_mx/2?

x_max=sqrt(3/4)*(.1m)
x_max= .0866m

c) what's the spring constant if the restoring force acting on the mass when its velocity v=v_max/2 is 8.67N?

F=kx
8.67N=k(.0866m)
k=100N/m

d) what's the acceleration of the mass when v=v_max/2?:

i know that F=ma
a=F/m

Given that m/k= .405 and k=100 N/m to find m would I mulitiply .405 by 100 This would give me 40.5kg.

Finally to solve the problem a=8.67N/40.5kg= .21m/s

e)What is the KE of the mass when velocity v= v_max/2?

Isn't KE=1/2mv^2
=1.2(40.5kg)(.157m/s)^2
=.123J

f)What is the PE of the mass when velocity v= v_max/2?

PE= 1/2kx^2
=1/2(100N/m)(.0866m)^2
=.281J

Are these correct?

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Spring Physics

    A block of mass 3 kg is hung from a spring, causing it to stretch 9 cm at equilibrium. The 3 kg block is then replaced by a 4 kg block, and the new block is released from the position shown below, at which point the spring is

  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 vertical spring with spring stiffness constant 305 n/m oscillates with an amplitude of 28.0 cm when 0.260 kg hangs from it. the mass passes through the equilibrium point (y=0) with positive velocity at t=0. (a) what equation

  4. physics

    A block of mass 4kg hangs from a spring of force constant 400N/m.the block is pulled down 15cm below the equilibrium position and released. Fimd: a) amplitude, frequency and period of vibration. b) kinetic energy when the block is

  1. college physics

    A 280 g wood block is firmly attached to a very light horizontal spring, as shown in the figure . The block can slide along a table where the coefficient of friction is 0.30. A force of 22 N compresses the spring 18 cm. If the

  2. 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

  3. Physics

    A 0.25-kg block oscillates on the end of the spring with a spring constant of 200 N/m. If the oscillation is started by elongating the spring 0.15 m and giving the block a speed of 3.0 m/s, then the maximum speed of the block is

  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 0.25 kg mass at the end of a spring oscillates 2.2 times per second with an amplitude of 0.15m. Determine the speed when it passes the equilibrium point and the speeed when it is 0.1 m from equilibrium

  2. Physics

    A cork gun contains a spring whose spring constant is 18.0 N/m. The spring is compressed by a distance ∆X = 6.0 cm and used to propel a cork of mass 7.66 g from the gun. Assuming the cork is released when the spring passes

  3. physics

    a 2.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 5.00 cm to the right of equilibrium and released from rest. Find the speed of the block as it passes through equilibrium if a) the horizontal

  4. 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

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