The 9.3 kg object is released from rest at a height of 3.9 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant 613 N/m. The object slides down the ramp and into the spring, compressing it a distance x before coming momentarily to rest.

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)