Problem $15$: It is weigh$-$in time for the local under$-85-$kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke's law and is depressed $0\mathrm{.}75$ cm by its maximum load of $120$ kg $.($a$)$ What is the spring's effective spring constant? $(2\mathrm{.}5$pt$)$

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$($b$)$ A player stands on the scales and depresses it by $0\mathrm{.}48$ cm $.$ Is he eligible to play on this under$-85-$kg team? $(2\mathrm{.}5$pt$)$ yes $$ no

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