1. A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The spring has a force constant of 1.37 kN/m. How much is the spring compressed when a object of mass m = 2.95 kg is placed on top of the spring and the system is at rest?
2. A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 107 g and rises to a maximum height of 45.0 cm, estimate the force constant of the spring.