Question

Find the value of 100J on a system which has 20cm, 100g & 60s. as fundamental units of length, mass & time.​

Answer 1

Answer:

Explanation:

We have given that,

                         length = 20 cm;

                         mass = 100 g;

                         time = 60 sec;

All the above given units are in the C . G . S unit.

Hence, the C . G . S unit of Joule will be Erg,

                            1 Erg = $10^{-7}$Joules ;

 Hence, the value of Joule, asked in the question, will be given as,

                           100 Joule = 100 * 1 /  $10^{-7}$erg;

                          100 joule = $10^{2}$ /  $10^{-7}$ Erg

                           100 Joule =  $10^{2}$ * $10^{7}$ Erg

                           100 Joule =   $10^{9}$ Erg.

Hence, the value of 100 J will be  $10^{9}$ Erg.

For your better understanding, break the unit of joule into its cm, g and sec.

         ⇒ 1 Joule = 1 N / m = 10^5 dyne / 100cm = 1000 g * 100cm/s^2 / 100cm

                                                                  = 10000000 g cm^2/s^2

Now, 1 Joule = 10000000 g cm^2/s^2 or 10^7 Erg.

Then 100 Joule = 1000000000 g cm^2/s^2 or 10^9 Erg.