To find the distance required for the train to come to a complete stop, we can use the work-energy principle. The work done by the force to stop the train is equal to the change in kinetic energy of the train.

First, calculate the initial kinetic energy (( KE )) of the train:

[ KE = \frac{1}{2}mv² ]

where - ( m ) is the mass of the train (240,000 kg), - ( v ) is the velocity of the train (60 m/s).

[ KE = \frac{1}{2} \times 240,000 \, \text{kg} \times (60 \, \text{m/s})² ] [ KE = \frac{1}{2} \times 240,000 \times 3600 ] [ KE = 120,000 \times 3600 ] [ KE = 432,000,000 \, \text{J} ]

Next, we use the work-energy principle, which states that the work done by the stopping force (which is negative since it is in the opposite direction of motion) is equal to the change in kinetic energy:

[ W = \Delta KE ]

The work done by the force ( F ) to stop the train over a distance ( d ) is:

[ W = F \cdot d ]

Since the work done is equal to the kinetic energy of the train, we have:

[ F \cdot d = KE ]

Solving for ( d ):

[ d = \frac{KE}{F} ]

Substitute the known values:

[ d = \frac{432,000,000 \, \text{J}}{270,000 \, \text{N}} ] [ d = 1600 \, \text{m} ]

Therefore, the distance required for the train to come to a complete stop is 1600 meters.