You know that the frequency and wavelength of an oscillation are related by the velocity of the wave (Eq. 1). In standing waves, the wave velocities of the different harmonics are the same. Think about why this may be and explain in your notebook. (Hint: The wave velocity is dependent on the static properties of the oscillating object like string mass and tension)

Aspring is used to stop a 50-kg package which is moving down a 20º incline. the spring has a constant k = 30 kn/m and is held by cables so that it is initially compressed 50 mm. knowing that the velocity of the package is 2 m/s when it is 8 m from the spring and neglecting friction, determine the maximum additional deformation of the spring in bringing the package to rest.