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

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.)

amplitude

maximum acceleration

frequency of oscillation

maximum force of the spring on the block

Explanation / Answer

spring stiffness (k) is unaffected.

Max Force = kx; k, x unchanged; SAME
Frequency = sqrt(k/m); m halved; new/old = SQRT 2
Max Accel = F / m; m halved; DOUBLE
Amplitude = 10 cm; SAME

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