A toy pop-gun uses a compressed spring of spring constant $k = 500\text{ N/m}$ compressed by $e = 0.080\text{ m}$ ($8.0\text{ cm}$). When fired vertically, assuming $100\%$ conversion of elastic energy into gravitational potential energy, to what maximum height $h$ above the compressed position does a $0.020\text{ kg}$ plastic ball rise? (Take $g = 9.8\text{ N/kg}$)

• A$4.08\text{ m}$
• B$8.16\text{ m}$
• C$16.32\text{ m}$
• D$80.0\text{ m}$

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