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Total energy E= potential energy+ kinetic energy.
Now, given that potential energy = kinetic energy=(1/2)E.
Now, E=(1/2)kA^2. Where, k is force constant and A is amplitude. A=4 cm given.
Next, potential energy at displacement x is(1/2)kx^2.
Therefore (1/2)kx^2=(1/2)(1/2)kA^2 OR
x^2=(1/2)A^2=(1/2)(4)^2=8 OR
x=sqrt(8)cm.
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