A0.300 kg oscillator has a speed of 98.4 cm/s when its displacement is 4.00 cm and 81.4 cm/s when its displacement is 6.00 cm. what is the oscillator's maximum speed?

Explanation:

Given:

Now as we know that the total energy in both the cases will remain conserved:

Now the total energy:

When the whole of the spring potential converts into kinetic energy:

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the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.