A train of mass 2×106 kg accelerates uniformly from rest to ...

To find the power output of the train's engine, we first need to calculate the work done and then the power. We can use the following steps:

Calculate the acceleration

We can use the kinematic equation to find the acceleration of the train:

Where:

(final velocity)

(initial velocity, since the train starts from rest)

(distance traveled)

Rearranging the equation to solve for acceleration :

Calculate the force

Now that we know the acceleration, we can calculate the force using Newton's second law:

Where:

(mass of the train)

Substitute the values:

$<...$

Physics