Physics

To solve this problem, we can follow these steps:

Let the mass of the object be , the angle of the incline be , and the acceleration due to gravity be .

The height of the incline is .

 

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy., so , and

Let the distance traveled when the velocity is be , and the height corresponding to this position is .

 

The work done by gravity at this point is and the kinetic energy is

 

We know that , and