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A block is attached to a spring and set in motion on a horizontal frictionless s

ID: 2300392 • Letter: A

Question

A block is attached to a spring and set in motion on a horizontal frictionless surface by pulling the block back a distance 10cm from equilibrium. Now, replace the block with one half the mass and set the block into motion again by pulling the block a distance 10cm from equilibrium and releasing. How will the following new quantities relate to the quanities with the original block? (If it will be larger by a factor of 2, choose double. sqrt stands for square root.)
Maximum Acceleration
Period of oscillation
Amplitude
Maximum Force of the Spring on the Block

Explanation / Answer

Amplitude = distance the spring is stretched or compressed. No change
Maximum Force of the Spring on the Block = -k * distance the spring is stretched, same spring, same k, so no change

Maximum Acceleration
Mass of block * acceleration = -k * d
Maximum Acceleration = maximum force

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