An astronaut has two objects that are identical in all respects, except that one is painted black and the other is painted silver. initially, they are at the same temperature. when taken from insidethe space shuttle and placed in outer space, which object, ifeither, cools down at a faster rate? a. the object painted black. b. both objects cool down at the same rate. c. the object painted silver. d. it is not possible to determine which object cools down at thefaster rate.

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.