Physics

We can solve this problem using the principle of conservation of mechanical energy, as the incline is frictionless.

 

1. Initial Potential Energy (at the top of the incline):

The block starts from rest, so its initial kinetic energy is zero. The initial potential energy is given by:

where:

(mass of the block),

(acceleration due to gravity),

(height of the incline).

 

Thus, the initial potential energy is:

 

2. Final Kinetic Energy (at the bottom of the incline):

At the bottom of the incline, all the potential energy is converted into kinetic energy. The kinetic energy at the bottom is:

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