10. Conservation of Energy

A 4-kg block moving on a flat surface strikes a massless, horizontal spring of force constant 600 N/m with a 20 m/s. The block-surface coefficient of friction is 0.5. Calculate the maximum compression that the spring will experience.

A spring of negligible mass has force constant $k=1600$ N/m. You place the spring vertically with one end on the floor. You then drop a $1.20$-kg book onto it from a height of $0.800$ m above the top of the spring. Find the maximum distance the spring will be compressed.

A spring of negligible mass has force constant $k=800$ N/m. How far must the spring be compressed for $1.20$ J of potential energy to be stored in it?

A spring of negligible mass has force constant $k = 1600$ N/m. How far must the spring be compressed for $3.20$ J of potential energy to be stored in it?

A spring has a spring constant k of 78.0 N/m. How much must this spring be compressed to store 45.0 J of potential energy?

When a spring is stretched by an external force and held at a fixed length, does the spring possess elastic potential energy?

Which of the following scenarios generates the most elastic potential energy in a spring with spring constant $k$ and equilibrium length, assuming the same spring is used in each case?

For a spring obeying Hooke's law, doubling which of the following quantities would cause the largest increase in the spring's elastic potential energy $U$?