at what dstance from the earth, in a direct line, between the sun and the earth will the gravitational attraction between the 2 bodies be the same?

Question

rane · Answer

@DoritosHero

rane · Answer

@Zale101

parthkohli · Answer

|dw:1395210818539:dw|

parthkohli · Answer

Let's say that the distance of the body from Earth is $x$|dw:1395210916674:dw|

parthkohli · Answer

What is the distance from the Earth to the Sun?

rane · Answer

there is no values given

parthkohli · Answer

OK, let's assume 150,000,000,000 meters.

rane · Answer

k

parthkohli · Answer

If the distance of the body to the Earth is $x$, then what is the distance from the body to the Sun?

rane · Answer

150,000,000,000 meters - x

parthkohli · Answer

You got it.  Now, we can use the gravitational force formula$$F = \dfrac{GMm}{R^2}$$What are the masses of Earth and Sun given as?

parthkohli · Answer

For the mass of Earth, let's say $6 \times 10^{24} ~ \rm kg$.  For the mass of Sun, $2 \times 10^{30}~\rm kg$.

parthkohli · Answer

Got it now?

parthkohli · Answer

We just want equal gravitational force... so?