Question

A freight train consists of two 8.00x10^{4} kg engines and 45 cars with average masses of 5.50x10^{4} kg. What force must each engine exert backward on the track to accelerate the train at a rate of 5.00x10^{-2} m/s^{2} if the force of friction is 7.50x10^{5} N, assuming the engines exert identical forces?

Group of answer choices

882 kN

441 kN

221 kN

110 kN

Step 1

Let F be the force with which the engines pull the cars, f be the frictional force acting backwards on the track, m be the mass of the car, M be the mass of the engines, and a be the acceleration of freight train.

Write the values given in the question.

Step 2

Draw the kinetic diagram of the motion of the freight train.

Step 3

Write the expression for Newton’s second...

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