A block of mass 2.0 kg is attached to a horizontal spring that has a force...
A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 1200 N/m as shown in the figure. The spring is compressed 10.0 cm and is then released from rest as in the figure.
(a) Calculate the speed of the block as it passes through the equilibrium position x=0 if the surface is frictionless.
(b) Calculate the speed of the block as it passes through the equilibrium position if a constant friction force of 5.0 N retards its motion from the moment it is released.
Homework Answers
A)
By Conservation of energy
(1/2)Kx2 = (1/2)mVr2 - (1/2)mVi2
1200*0.12 = 2*Vf2-2*0
Vf =sqrt(12/2) =2.45 m/s
B)
By Conservation of energy
(1/2)Kx2 = (1/2)mVr2 - (1/2)mVi2 +Fx
(1/2)*1200*0.12 =(1/2)*2*VF2-0+5*0.1
Vf=2.345 m/s
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