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speed $v_i$ on the same frictionless surface while attached to an ideal, horizontal spring with a force constant of $k_i$ that is fixed at

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its other end.

Let $x$ denote the displacement of the block from its equilibrium position and A denote the maximum oscillation amplitude. Order the systems from largest total mechanical energy to smallest.

Assume that the surface defines the zero reference point for gravitational potential energy.

Answer Bank

$m_1=0\mathrm{.}50kg$;$k_1=500\frac{N}{m}$; amplitude $A=0\mathrm{.}020m$

$m_2=0\mathrm{.}60kg$;$k_2=300\frac{N}{m}$;$v_2=1\mathrm{.}0\frac{m}{s}$ when passing through equilibrium

$m_3=1\mathrm{.}2kg$;$k_3=400\frac{N}{m}$;$v_3=0\mathrm{.}50\frac{m}{s}$ when passing through $x=-0\mathrm{.}010m$

$m_4=2\mathrm{.}0kg$;$k_4=200\frac{N}{m}$;$v_4=0\mathrm{.}20\frac{m}{s}$ when passing through $x=0\mathrm{.}050m$