What is the Maximum Energy and Velocity in Spring Oscillation?

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The discussion focuses on calculating the maximum energy and velocity of a mass oscillating on a spring. The mass is 0.70 kg, and the oscillation is described by the equation x = 0.0500 cos(2.10t). The maximum velocity is calculated as V_max = 0.105 m/s, derived from the angular frequency and amplitude. The maximum energy stored in the spring is determined to be approximately 3.86 x 10^-3 J using the kinetic energy formula. The calculations are confirmed to be correct based on the provided equations.
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A 0.70 kg mass on a spring oscilates horizontally with a little friction acording to the
x= 0.0500 cos (2.10 t) where x is in meter and t is in seconds. Find the maximum energy stored in the spring during an oscilation. Find the maximum velocity of the mass.

V_max = w*A= (0.05)*(2.10)= 0.105 m/s

But the maximum energy E=(1/2)(m)(v_max ^2)= (1/2)(0.70)(0.105)^2= 3.86 x 10^-3 J

Is this problem correct?... or i use the wrong equations...
 
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Looks OK to me.
 
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