Given that 1 joule = 1 newton × 1 meter and 1 volt = 1 joule per coulomb, show that the units
newtons/coulomb and volts/meter are equivalent.

You have two equations:
1st: 
and
2nd: 

from the second equation you can extract Joule:

you compare right side of the equation above to the right side of the 1s equation:


then you devide both sides by 1C and by 1m and you get:

1) when you rub your hands together quickly, the kinetic energy is converted to mechanical energy.2) thermal energy from the sun travels to earth as infrared waves.3) energy is transferred through the matter of space by electromagnetic waves. 4) when a match is burned, chemical potential energy is converted to thermal and radiant energy. 5) seismicwaves are caused by back and forth movement , or vibration, of an object. 6) mechanicalenergy in an engine changes thermal energy into kinetic energy to make a car move.