Physics

Problem

0.50\,\text{kg}

cart is attached to a light spring on a frictionless track. When the cart is

0.12\,\text{m}

from equilibrium it moves at

0.80\,\text{m}\!/\!\text{s}

, and when it passes through equilibrium its speed is

1.20\,\text{m}\!/\!\text{s}

. Using only these data, determine (i) the spring constant and (ii) the amplitude of the oscillation. Give numerical values with proper units.