Physics

To solve this problem, we can apply the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy. In this case, we will also account for the gravitational potential energy change as the bus travels up the incline.

 

Calculate the change in kinetic energy

The change in kinetic energy between points and can be found using:

Where:

(mass of the bus)

(speed at point X)

(speed at point Y)

 

 

Calculate the work done by forces

The work done on the bus is the sum of the work done by the engine and the frictional force:

Where:

(force from the engine)

Click "Show Answer" to reveal the answer and analysis