$12\mathrm{.}11$ A train is driven by a linear induction motor at $80k\frac{m}{h}$ when the frequency of the primary windings is $15$ Hz $.$ The frontal area of the train is $25m^2$ and its coefficient of drag is $0\mathrm{.}9.$ The frictioncoefficient between the wheels of the train and the track is $0\mathrm{.}1,$ and the weight of the train is $500,000$ kg $.$ The pole pitch of the vehicle is $3$ m $.$ Compute the following:

a$.$ Speed of the thrust force

c$.$ Slip of the motor

d$.$ Developed force of the motor at steady$-$state

e$.$ Developed power in hp