A block of mass 35 kg is sitting on a platform as shown in Figure P6.60. The platform si...

A block of mass 35 kg is sitting on a platform as shown in Figure P6.60. The platform sits on a spring with k = 2000 N/m. The mass is initially at rest. (a) Add a coordinate system to this sketch. Where is a convenient place to choose the origin of the vertical (y) axis? (b) If the platform is depressed a distance 0.50 m and held there, what is the mechanical energy of the system? (c) The platform is then released, and the mass moves upward and eventually flies off the platform. Assume the spring returns to its relaxed state (un stretched and uncompressed) after the mass leaves the platform. What are the kinetic energy, gravitational potential energy, and elastic potential energy of the system when the mass reaches its highest point? (d) How high will the block go? Measure this distance from the height of the uncompressed platform.