An empty freight car of mass M starts moving from rest with a constant applied force F0. At the same time, coal runs into the car at steady rate b from a hopper above the car at rest along the track. Calculate the velocity of the car as a function of time.
Data: M = 1900 kg; F0 = 47000 N; b = 190 kg/s; t = 6.8 s.
The Attempt at a Solution
F dt=M dv
Integrating both sides I get:
Plugging in my known values I find that v(6.8)=128.33 m/s which is incorrect. Any suggestions?