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When is a bouncing mass at the end of the spring the fastest? What is the...

When is a bouncing mass at the end of the spring the fastest? What is the kinetic energy?

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Answer #1

When the mass is at mean position I. e., the spring attained its natural length the mass is fastest.

At this position due to elongation of spring the potential energy developed is converted into kinetic energy hence the maximum kinetic energy for the mass appears at mean position. The maximum kinetic energy is equal to (1/2) Kx^2 where K is spring constant and x is maximum elingation of spring due to bouncing mass.

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