A train of 3000 KN weight starts from rest and reached a velocity of 54 km/h after o

manal950

Hi all

1 ) A train of 3000 KN weight starts from rest and reached a velocity of 54 km/h after one min . if the frictional resistance of the track is 5N/KN of the train's weight . Find the tractive force developed by the engine ?

I don't understand what is mean "tractive force " ??

anyway I start solve the question

w = 3000 kN
mass = 305810
u = 0
v = 54 km/h

v = u + at
a = 0.25
F = m X a
F = 305810 X 0.25
76452.5 N

rock.freak667

Right a = 0.25 m/s² (Always remember to put your units).

In the formula F=ma, a is the resultant acceleration of the mass m (Train in this case). So F is the resultant force.

If you draw a free body diagram, what are the forces on the train? (The tractive force is essentially the force generated by the train itself).

manal950

force on the train
1 weight
2 frictional resistance
3 tractive force

now How I can find the tractive force

manal950

I don't know where is the other helper ..

rock.freak667

In which direction do these forces act?

How would you find the resultant horizontal force?

manal950

I don't know how to find resultant horizontal force?

anyway the direction for each one weight dawn , frictional resistance opposite of tractive force

rock.freak667

Right so let's say frictional force is going left and the tractive force is going right. The train is moving to the right. How would you calculate the value of the force that the train is moving with from these two forces?

in other words, if we are in a tug of war competition and you are pulling with 10 N and I am pulling with 11 N, what would be the resultant force in this case?

manal950

Resultant force = tractive force - frictional force

rock.freak667

Right!

So you calculated the resultant force in your first post. And they told you what the frictional force was. So you can rearrange to get the tractive force.

manal950

tractive force = Resultant force - frictional force
= 76452.5 - 3000
now this is correct ??

rock.freak667

Check the signs in your equation.

manal950

76452.5 + 3000 ... ?

rock.freak667

That should work.

HallsofIvy

Remember that the "tractive force", the force applied to the track by the locomotive, must be larger then the resultant force as it has to overcome the frictional force.

You can write it as "Resultant force- frictional force" if you remember to treat "frictional force" as negative.

manal950

now is my answer if fully correct ... ?

rock.freak667

It should be.

manal950

my teacher said the answer is not correct

and he said why you don't multiply

5 X 3000

I don't know what he mean ?

and my other questions is the Resultant force
ma + tractive force

or only F = ma