Arock of mass 0.24 kg falls from rest from a height of 20 m into a pail containing 0.40 kg of water. the rock and water have the same initial temperature. the specific heat capacity of the rock is 1850 j/(kg · c°). ignore the heat absorbed by the pail itself, and determine the rise in the temperature of the rock and water.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?