How is this question solved? Why is it C?

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Answer 1 · 2018-06-05T14:51:09

The answer is #option (C)#

The kinetic energy is

#KE=1/2momega^2(x_0^2-x^2)#

The amplitude is #=x_0#

The maximum kinetic energy is

#E_(max)=1/2momega^2x_0^2#

This occurs when #x=0#

The distance from the center is

#x_0-1/3x_0=2/3x_0#

Therefore,

#KE=1/2momega^2(x_0^2-(2/3x_0)^2)#

#=1/2momega^2(x_0^2-4/9x_0^2)#

#=1/2momega^2*5/9x_0^2#

#=5/9*1/2momega^2x_0^2#

#=5/9E_(max)#

The answer is #option (C)#