A spring (with spring constant k=45 N/m) is compressed by 0.2 meters. A 0.5 kg ball is placed on top and the spring is released in a perfect energy transfer. How

high will the ball go? (show your work and conservation of energy equations)

100 grams of molten lead (600°c) is used to make musket balls. if the lead shot is allowed to cool to room temperature (21°c), what is the change in entropy (in j/k) of the lead? (for the specific heat of molten and solid lead use 1.29 j/g⋅°c; the latent heat of fusion and the melting point of lead are 2.45 × 104 j/kg and 327°c, respectively.)