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A 2.0kg mass attached to a spring makes 10 oscilations in 21.6s; its amplitude is .0320m

Find spring constant k. My question about this part is

frequency=(#of oscillations)/(#of seconds to complete) right?

So f=10/21.6s =2.16Hz?

So if [tex]k=m\omega^2[/tex]

[tex]k=2(2\pi*2.16)^2[/tex]

IT's the wording that gets me....

And to find speed at x=o I use conservation of mech energy

[tex]\frac{kx_m^2}{2}=\frac{mv^2}{2}+\frac{kx^2}{2}[/tex]

and I can eliminate .5kx^2 since x=0....

Find spring constant k. My question about this part is

frequency=(#of oscillations)/(#of seconds to complete) right?

So f=10/21.6s =2.16Hz?

So if [tex]k=m\omega^2[/tex]

[tex]k=2(2\pi*2.16)^2[/tex]

IT's the wording that gets me....

And to find speed at x=o I use conservation of mech energy

[tex]\frac{kx_m^2}{2}=\frac{mv^2}{2}+\frac{kx^2}{2}[/tex]

and I can eliminate .5kx^2 since x=0....

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