Question

Assuming all variables are positive, which of the following are equivalent to $F = \frac{(Gm)M}{r^2}$? $G = \frac{(Fm)M}{r^2}$ $G = \frac{F}{Mm}r^2$ $r = \sqrt{\frac{GMm}{F}}$ $r = -\sqrt{\frac{GMm}{F}}$ $M = \frac{(FGm)}{r^2}$ $M = \frac{r^2F}{Gm}$ None of the choices are equivalent.

          Assuming all variables are positive, which of the following are equivalent to $F = \frac{(Gm)M}{r^2}$?
$G = \frac{(Fm)M}{r^2}$
$G = \frac{F}{Mm}r^2$
$r = \sqrt{\frac{GMm}{F}}$
$r = -\sqrt{\frac{GMm}{F}}$
$M = \frac{(FGm)}{r^2}$
$M = \frac{r^2F}{Gm}$
None of the choices are equivalent.

Assuming all variables are positive, which of the following are equivalent to F = ((Gm)M)/(r^2)?
G = ((Fm)M)/(r^2)
G = (F)/(Mm)r^2
r = √((GMm)/(F))
r = -√((GMm)/(F))
M = ((FGm))/(r^2)
M = (r^2F)/(Gm)
None of the choices are equivalent.

Added by Ryan G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

05/16/2023

Step 1

Step 1: To find the equivalent expressions, we can manipulate the given equation F=((Gm))/(r^(2))M. Show more…

Show all steps

Thanks for your feedback!

Assuming all variables are positive, which of the following are equivalent to F=((Gm))/(r^(2))M G=((Fm))/(r^(2))M G=(F)/(Mm)r^(2) r=sqrt((GMm)/(F)) r=-sqrt((GMm)/(F)) M=((FGm))/(r^(2)) M=(r^(2)F)/(Gm) None of the choices are equivalent. (Gm) M (Fm) G M 72 F Mmk GMm F GMm F (FGm) M= 2 2F M Gm None of the choices are equivalent