Need this badly today

What work is done on a level track in bringing the velocity of a train weighing 200metric tons from zero to 45 kph, if the frictional resistance at any velocity is 45N/ton, and if the change in speed is accomplished in length of 1000m? (Ans. 26780.95 KN/m)

C. If the track were a 1% upgrade, what would be the additional work to be done?

Centroids and Centers of Gravity; Moments of Inertia

Modified True or False:
1. The intersection of the vertical lines at various single support and orientation of a rigid body may approximate the center of gravity of the body.
2. The vertical and horizontal coordinates of the intersection at any reference frame is the centroid of the body.
3. It is assumed that the body is laminar and non-homogenous to determine the centroid.

Hoops stress

A steel ring of outer diameter 300mm and internal diameter of 200mm is shrunked unto a solid steel shaft , the interference is arranged such that the radial pressure between the meeting surfaces will not fall bellow 300MN/m^2 while the assembly rotates in circles. If the maximum circumferencial stress on the inside of d surface of the ring is limited to 240MN/m^2. Determine the maximum speed at which the assembly can be rotated . Assuming that no relative slip occur between the shaft and the ring.