A block slides down a ramp with friction. The friction experienced by the block is 21 N. The mass of the block is 8 kg. The ramp is 6 meters long (meaning, the block slides across 6 meters of ramp with friction). The block is originally 2 meters vertically above the ground (the bottom of the ramp). What is the change in energy of the block due to friction, expressed in Joules

Complete Question

The complete question is shown on the first uploaded image

the change in energy of the block due to friction is  

Explanation:

From the question we are told that

    The  frictional force is  

    The mass of the block is  

    The length of the ramp is  

    The height of the block is  

The change in energy of the block due to friction is mathematically represented as

     

The negative sign is to show that the frictional force is acting against the direction of the block movement

  Now substituting values

     

     

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.