The brakes of an automobile act by forcing brake pads, which have a metal support and a lining, to press against a disk (rotor) attached to the wheel. friction between the pads and disk causes the car to slow down or stop. each wheel has an iron brake disk of mass 15 ibm and two brake pads, each of mass 1 ibm. suppose you are moving at 55 mph when you apply the brakes and bring the car to a rapid halt with insignificant heat transfer from the disk and pads. assume a heat capacity of 0.12 btu/(ibm of) for the disk and pads and estimate the final temperature (of) of the disk and pads if the car is i). a toyota camry of mass 3200 ibm ii). a cadillac escalade of mass 5,900 ibm, and the temperature that day is 75(of)

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.