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at t=0, a block of mass 4.0 kg that is at rest on the end of a very long spring (of spring constant k=100 N/m) is struck with a hammer which gives it an initial speed of 1.00 m/s, initially compressing the spring. the block then oscillates with simple harmonic motion on a frictionless horizontal surface.

(a) calculate the position x of the block at exactly t=0.440 seconds after it was struck with the hammer. also, is the spring compressed or stretched at this instant of 0.440 seconds?

(b) calculate the time for each of the first two instances that the block is 0.100 m from the equilibrium position with the spring stretched.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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