sorry! I never noticed..the mass should be 52000kg sorry about that!

so it should be a 52000kg train slows from 25 m/s to 14m/s in 5.0 s. Calculate the work done on the train.

so I found the displacement by using

displacement= 1/2 (v1+v2) (delta t)
and got 97.5

and then I found the force which is F=mg
and got 510120N, then took that force and did W=Fd

and got 49736700J

my textbook says 1.1x10^7J? How is that right? I think I am right?

I tried to get the answer using the kinetic energy formula, and it works (for the answer of 1.1x10^7), but the only problem is, the homework is for the pages before the kinetic energy, so I would like to know how to figure out the answer without the kinetic energy formula. Thank you for helping me!

Ok, the displacement is correct.

Then, force= ma=m(Vi-Vf)/T

Now, work= force*displacement
=m(Vi-Vf)/Time * 97.5 m

No problem! I apologize for any confusion caused by the incorrect mass value. If you have any other questions or need assistance with anything else, feel free to ask!