6) A block of mass 1.6 kg is attached to a horizontal spring that has a spring c

Question

6) A block of mass 1.6 kg is attached to a horizontal spring that has a spring constant k of 1 x 103 N/m. The spring is compressed 2.0 cm and is then released from rest on a frictionless surface. a) Calculate the speed and elastic potential energy of the block as it passes through the equilibrium position x = 0. (Elastic potential energy means potential energy associated with a stretched or compressed spring.) b) Calculate the speed and elastic potential energy of the block when it is in the position x = 1.1 cm.

Explanation / Answer

Kx*x/2 = Mv*v/2

v = .5m/sec

potential energy = Kx*x/2 = 1000*.02*.02/2 = .2J

potential energy = Kx*x/2 =1000*.031*.031/2 = .481J

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