It takes a force of 53 kN on the lead car of a 16 car passengertrain with a mass 9.1 x 10^5 to pull it a constant 45 m/s on leveltracks
a) What power must the locomotive provide to the lead car?
b) How much more power to the lead car than calculated in part (a)would be needed to give the train an acceleration of 1.5 m/s^2 atthe instant that the train has a speed of 45 m/s on leveltracks?
c) How much more power to the lead car than that calculated in part(a) would be needed to move the train up a 1.5% grade at a constant45 m/s?