How long does it take it increase speed?

[RanHam335]

Homework Statement

A freight train has a mass of 1.2e+7 kg. If the locomotive can exert a constant pull of 8.4e+5 N, how long does it take to increase the speed of the train from rest to 82 km/h?

Homework Equations

(mass*velocity)/time=force

The Attempt at a Solution

(1.2e+7 * 82)/h = 8.4e+5

i solved for h
h = (8.4e+5)/(9.84e+8)
h = 8.54e-4

then i had to convert from hours to min.
8.54e-4*60

so i got
5.1e-2 min

this is my first time posting on this forum so i hope i followed the right format.

 

[rock.freak667]

82km/h = $\frac{82*1000m}{3600s}$

 

[RanHam335]

can you explain the above?

 

[rock.freak667]

I just converted the speed from km/h to m/s which is usually what you should do.

82km/h

in 1h train travels 82km
=> in 1h train travels 82*1000m
in 3600s train travels 82000m
in 1s train travels 82000/3600 m

therefore the velocity in m/s is 820/36

 

[RanHam335]

that doesn't answer my question, i think I am messing up on the formula. I have one submission left so i don't want to risk it

 

[rock.freak667]

$$F=\frac{mv}{t} \Rightarrow t=\frac{mv}{F}$$

$$t=\frac{(1.2*10^7 kg)*((\frac{82000}{3600} ms^-1)}{8.4*10^5 N}$$



Can you calculate now?


But your answer was $5.1*10^{-2}$minutes. Doesn't that seem like a small amount of time to go from 0 to 82km/h ?