00:01
Let's assume that a person is present in between the earth and moon.
00:14
The distance between the earth and moon is represented by z and the distance between the earth and the person is represented by x.
00:24
So using the newton's laws of gravitation, the force between the earth and the person can be represented as f -p -e that can be equals to j, sorry g, that is gravitational constant into m -e into a small m, where small m is the mass of this person and x is the distance between the earth and this person p.
00:57
Now similarly we can write the force between the person and the moon equals to g into m m that is the mass of the moon into mass of the person divided by z minus x whole square that is the distance square now in order to this person or this body experience zero force this f p and f p m must cancel each other that is there must be equal so equating this we will get j m into m by x square equals to g into m m into m divided by z minus x whole square.
01:46
So this this will cancel out and we will get z minus x whole square into m e equals to x square into m m taking a square root both side we will have z minus x into root me equals to x into root under m m.
02:13
Solving for x we will get z into root under m e equals to x into root m m plus root under m e so x will be equals to z into root under m e divided by root under m m plus root under m e now in the question it has been given that mass of the earth equals to 5 .97 into 10 to the power 24 kg.
02:45
Mass of moon is 7 .35 into 10 to the power 22 kg...