Answer to Question #189539 in Classical Mechanics for Hey

Question #189539

A block of mass m (initially at rest) is dropped from a height h landing onto a spring with spring/force constant k. Determine the maximum distance y that the spring will be compressed?

Expert's answer

"E_p=mgh,~E_s=\\frac{ky^2}{2},"

"E_p=E_s,"

"y=\\sqrt{\\frac{2mgh}{k}}."

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