Question

please complete the analogy​

Answer 1

Explanation:

1 NEWTON : 10^5 DYNE ::1JOULE : 10^7 ERG.

Answer 2

★ Solution:

1 Newton : 10⁵ dynes :: 1 Joule : ________

Here , the logic is

1 Newton (1N) = 10⁵ Dyne

& 1 Joule = 10⁷ ergs

Hence , the 1 Joule : 10⁷ ergs

Totally:

1 Newton : 10⁵ dynes :: 1 Joule : 10⁷ ergs

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★ More explanation :

Proving about how 1 N = 10⁵ dynes & 1 J = 10⁷ ergs

As we know that

1 Newton can be written as 1 kgm/s²

Here , substituting

• kg = 10³ g
• m = 10² cm

Now ,

→ 1 N = 10³ × 10² gcm/s²

→ 1 N = 10⁵ gcm/s²

Here , gcm/s² can be written as Dyne

→ 1 N = 10⁵ dynes

Hence , proved!

______________________________

Now , proving 1 J = 10⁷ ergs

As we know that

1 Joule can be written as 1 kgm²/s²

Here , substituting

• kg = 10³ g
• m² = (10²)² = 10⁴ cm

→ 1 J = 10³ × 10⁴ gcm²/s²

→ 1J = 10⁷ gcm²/s²

Here , gcm²/m² is also written as ergs

→ 1J = 10⁷ ergs

Hence , proved!