A block is released from the top of a frictionless incline plane as pictured above. If the total distance travelled by the block is 1.2 m to get to the bottom, calculate how fast it is moving at the bottom using Conservation of Energy.

Complete Question

The diagram for this question is showed on the first uploaded image (reference homework solutions )

The  velocity at the bottom is  

Explanation:

From the question we are told that

   The  total distance traveled is  

    The mass of the block is  

      The  height of the block from the ground is h =  0.60 m  

According the law of  energy  

Where  PE  is the potential energy which is mathematically represented as

substituting values

So

   KE  is the kinetic energy at the bottom which is mathematically represented as

So

substituting values  

  =>    

=>      

=>    

no simpler subs form complex ones. synthesise = make