Question

The gravitational force formula is F= Gm1m2 / r^2, where F is the force between two objects, G is the constant of gravitation, m1 is the mass of the first object. m2 is the mass of the second object, and r is the distance between the objects. By rewriting the formula as r= √Gm1m2/F, you can find the distance between objects. Which of the following gives the distance, r, in simplest form?

A.) r=√Gm1m2 / F
B.) r=√Gm1m2F / F
C.) r=√Gm1m2F

Answer 1

The most reasonable answer would be B.

PLEASE GIVE ME THE BRAINLIEST I TRIED REALLY HARD ON THIS QUESITON!

Answer 2

Answer:

B) $r=\frac{\sqrt{Gm_{1}m_{2}F} }{F}$

Step-by-step explanation:

Newton's law of universal gravitation can be represented through the following expression.

$F=G\frac{m_{1}m_{2}}{r^{2} }$

where,

F is the force between two objects

G is the constant of gravitation

m₁ is the mass of the first object

m₂ is the mass of the second object

r is the distance between the objects

We can solve this equation for "r".

$F=G\frac{m_{1}m_{2}}{r^{2} }\\r^{2} =\frac{Gm_{1}m_{2}}{F} \\r=\sqrt{\frac{Gm_{1}m_{2}}{F}}\\r=\sqrt{\frac{Gm_{1}m_{2}F}{F^{2} }}\\r=\frac{\sqrt{Gm_{1}m_{2}F} }{F}$