A 424 g mass vibrates according to the equation x=0.342 sin(5.20t) where x is inn meters and t is in seconds. Find the amplitud, frquency, period, total energy, kinetic energy when x=12.0 cm, and potencial nergy when x-12.0 cm.(adsbygoogle = window.adsbygoogle || []).push({});

Amplitud=0.342

w=2*pi*frequency

frequency=(2*pi)/w=(2*pi)/(5.20)=1.208 Hz

Period= 1/frequncy=1/1.208= 0.828

E=1/2*k*x^2

in the amplitud it is

E=(1/2)*(k)(0.342)^2

but k= (w^2)*m=(5.20^2)*(0.424)=11.46

E=(1/2)*(11.46)*(0.342^2)= 0.670 J

Potenicial Energy= 1/2*k*x^2

=(1/2)*(11.46)*(0.12^2)=8.25 x 10^-2 J

Kinetic Energy= Total - Potencial= 0.670 J - 8.25x10^-2 J = 0.5875 J

Is all this problem correct or not?....

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# Homework Help: IS tis corresct about Amplitud, frquency, Period, & Energy

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