A5.7 kg bucket of water is raised from a well by a rope. the acceleration of gravity is 9.81 m/s 2 . if the upward acceleration of the bucket is 2.2 m/s2 , find the force exerted by the rope on the bucket of water. answer in units of n.

Find the volume of the ellipsoid x^2+y^2+5z^2=36.

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.)

A15.75-g piece of iron absorbs 1086.75 joules of heat energy, and its temperature changes from 25°c to 175°c. what is the specific heat capacity of iron?