As an aid in working this problem, consult Concept Simulation 10.3. A block of m

Question

As an aid in working this problem, consult Concept Simulation 10.3. A block of mass m = 0.700 kg is fastened to an unstrained horizontal spring whose spring constant is k = 77.5 N/m. The block is given a displacement of +0.120 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (magnitude and direction) that the spring exerts on the block just before the block is released? (b) Find the angular frequency ? of the resulting oscillary motion. (c) What is the maximum speed of the block? (d) Determine the magnitude of the maximum acceleration of the block.

Explanation / Answer

Hooke's law F = -k*x Horizontal spring means that gravity does NOT play factor. F = -(65 N/m) *(.120 m) The negative sign indicates that force is a response to the displacement so it will be in the opposite direction of the displacement. b. angulary frequency (omega) = sqrt (k/m) c. all the elastic potential must be converted to kinetic energy 1/2 k*x^2 = 1/2*m*v^2. v = sqrt (k*x^2/m)

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