Chapter 6.6, Problem 27ES

The world’s first commercial high-speed magnetic levitation (MAGLEV) train, a $30\text{ km}$ double-track project connecting Shanghai, China, to Pudong International Airport, began full revenue service in $2003$ . Suppose that a MAGLEV train has a mass $m=4.00\times {10}^5\text{ kg}$ and that starting at a time when the train has a speed of $20\text{ m/s}$ the engine applies a force of $6.40\times {10}^5\text{ N}$ in the direction of motion over a distance of $3.00\times {10}^3\text{ m}$ . Use the work-energy relationship $\left(6\right)$ to find the final speed of the train.