Help me with this question Prove that:-
1.The unit of pressure is a derived unit?
2.The unit of work is a derived?​

01

When you describe nature, and you need standard, useful units for everything you will see that these units are linked. So you start with defining base units that are simple:

kg, meter, second, Kelvin, …

Now other units will be automatically derived:

speed = distancetime , so the unit is  ms  

acceleration =  speedincreasetime , so the unit is  ms2  

Force = Mass x acceleration, so the unit is  kg.ms2  

Pressure is Force/surface, so the unit is  kgm.s2  

You can define new simple units for this, but they are still derived from the base units:

Force:  1N=1kg.ms2  

Pressure:  1Pa=1kgm.s2

2 Answer

In mechanics, work is defined as “force x distance”. Since energy can be measured as work, we can write energy = force x distance. Thus SI derived unit of energy has the units of newtons x meter or kg m2/s