Physics

To find the height of the incline, we can use the conservation of mechanical energy principle. Since the incline is frictionless, the initial potential energy of the block is converted into kinetic energy as the block slides down.

 

1. Initial Potential Energy:

At the top of the incline, the block has potential energy given by:

where:

(mass of the block),

(acceleration due to gravity),

is the height of the incline (which we need to find).

 

2. Kinetic Energy at the Bottom:

At the bottom of the incline, the block has kinetic energy given by:

where:

is the velocity of the block at the bottom.

 

So, the kinetic energy at the bottom is:

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