The friction drag of a rolling stock is given by Fa = 8.63 + 0.07295v + 0.00112v², where Fa is the drag force per train mass in N/tonne and v is the velocity in km/h. Gravity is 9.81 m/s².
a. What is the net tractive power per train mass required for constant velocity operation at 100 km/h on a straight level track?
b. Following part a, with the same tractive force, what is the maximum velocity of the train if the rolling stock is climbing up a slope with a gradient of 1:800? Assuming the wheel frictional drag and coefficient of friction of the wheels are not affected by the gradient.