Question

T²= 4π² (M+m) ÷ ug

= 4π²÷ug (M+m)

1) make 'M' the subject of the formula
2) make 'g' the subject of the formula

Answer 1

Starting with ...

`T^2=(4\pi^2(M+m))/(ug)`

1) Multiply by the inverse of the coefficient multiplying the sum with M, then subtract m.

`(T^2ug)/(4\pi^2)=M+m\\\\M=(T^2ug)/(4\pi^2)-m`

2) Multiply by g/T²

`g=(4\pi^2(M+m))/(T^2u)`