Aproton in a particle accelerator is traveling at a speed of 0.99c.(a) if you use the approximate nonrelativistic equation for the magnitude of momentum of the proton, what answer do you get? (b) what is the magnitude of the correct relativistic momentum of the proton? (c) the approximate value (the answer to part a) is significantly too low. what is the ratio of magnitudes you calculated (correct/approximate)?

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.