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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.

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