Why is k 4 &#x03C0;<!-- π --> 2 </msup>

Edith Mayer

Edith Mayer

Answered question

2022-05-08

Why is k 4 π 2 = c M and f = ( k m M ) / r 2 not ( 4 π 2 ) / r 2 M m c C ?

Answer & Explanation

Semaj Stark

Semaj Stark

Beginner2022-05-09Added 17 answers

So, the first equation is wrong. It is not k 4 π r 2 = c M , but
k 4 π 2 = c m .
This relation simply is a definition of k, nothing more. Being it a constant, you can call it as you wish.
Second, I don't know how you did the math, but the starting equation is f = M 4 π 2 c r 2 . Using the previous relation, c = m k 4 π 2 , you find
f = k m M r 2 .

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