Question

A mass-​spring system with spring constant 20 N/m and mass 1.0 kg is displaced from its natural length by 10 cm. The mass is then released from this position.
a. What is the total energy of the system as the mass crosses through the equilibrium position? b. What its maximum speed during its oscillation?

please answer the following parts

1. Start.

   1. State the important information and summarize the problem.

   2. Sketch a relevant, labeled visual or visuals for the problem. This usually means at least one of the following: a diagram of the system, a sketch of the motion, a free-body diagram. Label the sketch with the information given and a coordinate system.

2. Plan.

   1. Write down a plan of attack before diving into the solution. Break down the problem into smaller, manageable segments.

   2. Identify which physical principles you can apply, and why each applies to the problem.

   3. Note any assumptions you’re making and for what you are trying to solve.

   4. If you get stuck on this step at home and do not know how to evaluate,

      1. include at least two attempts to a plan. Each attempt should state at least one physics principle and why it is or is not valid for the problem. It should also include what the first execute action would be. In other words, the plan section should be at least two reasonable sentences per plan explaining the principle, the assumptions required, and why it would or would not fit with the problem.

      2. in the independent problem sets, if you cannot execute a plan, your "plan" section should be 2-4 times as long as if you were able to execute the problem.

Answer 1

The solution of the problem is provided in the image given below.