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 double 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 quantities with the original block?
(A) amplitude
(B) maximum acceleration
(C) frequency of oscillation
(D) maximum force of the spring on the block

Answer 1

A) Amplitude

Step-by-step explanation:

The angular frequency ω = √k/m

maximum acceleration = ω²A ; A is amplitude

frequency of oscillation = ω / 2π

maximum force = m x ω²A

so maximum acceleration ,frequency of oscillation and maximum force

all depend on ω so they will change due to change of mass . Hence amplitude will remain constant.