Question

The joule is an SI unit of energy that is equal to 1 kg•m2/s2. The erg is a different unit of energy that is equal to 1 g•cm2/s2. How many ergs are in one joule? Use dimensional analysis to solve this problem.

Answer 1

Answer:

The answer to your question is: 1 J = 10, 000, 000 ergs

Explanation:

(1 kgm²/s²)(1000 g/ 1 kg) = 1000 gm²/s²

(1000 gm²/s²)(100 cm/1 m) = 1 00 000 gmcm/s²

1 00 000 gmcm/s² (100 cm / 1m) = 10 000 000 gcm²/s²

                                                       = 10 000 000 ergs