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Answer to Question #126371 in Mechanics | Relativity for Praise

Question #126371

The total length of a spring when a mass of 20g is hung from its end is 14cm while its total leggings 16cm when a mass of 30g os hung from the same end . calculate the instructed length of the spring assuming hooked laws is obeyed

1
2020-07-15T09:29:39-0400

"m_2-m_1=\\Delta m;\\\\l_2-l_1=\\Delta l;\\\\Newton's\\; second\\; law\\;and\\;Hooke's\\; law\\\\\\\\|\\Delta m g|=|-k\\Delta l|;\\\\We\\; are\\; not\\; interested\\; in\\; the\\; sign;\\\\k=\\frac{|\\Delta m g}{\\Delta l}=\\frac{0.01\\times 9.8}{0.02}=4.9\\frac{N}{m};\\\\for\\; a\\; weight \\;of\\; 1:\\\\|m_1g|=|-k\\Delta l'|(We\\; are\\; not\\; interested\\;\\\\ in\\; the\\; sign\\;again)\\\\\\Delta l'=\\frac{m_1g}{k}=\\frac{0.02\\times 9.8}{4.9}=0.04m;\\\\0.14-0.04=0.1m=10cm.\\\\Answer:the \\;instructed\\; length\\;\\\\ of \\;the \\;spring \\;is\\; equal \\;to\\;10cm"

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