Grade 12th passGeneral Physics

Knowing that mass of moon is M/81 iswhere M is the mass of earth, find the distance of the point from moon, where the net gravitational force due to earth and moon cancel each other. Given that distance between earth and moon is 60R, where Ris the radius of earth.

isha

10 Years agoGrade 12th pass

2 Answers

Beenu Mathew

10 Years ago

let there be a point mass of mass 1kg(m) between the earth and the moon.(and there is point where this mass doesnt experience any force.)

And this mass is at a distance of x from the moon.

and 60R-x from the earth.

so now lets dive in and get the fundamental equation

GM/81 * m/x²= GM*m/(60R-x)²

^{square root on both sides and skipping few steps}

9x=60R-x

x=6R (from moon)

54R (from earth)

THANKS

BEST OF LUCK!

PLS APPROVE

ritu

7 Years ago

Let x be the distance between one body and the point where two fields cancel each other. And d be distance between two bodies .

Then,

Point where gravitational force is zero

=√M(d)/√m+√M

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Knowing that mass of moon is M/81 iswhere M is the mass of earth, find the distance of the point from moon, where the net gravitational force due to earth and moon cancel each other. Given that distance between earth and moon is 60R, where Ris the radius of earth.

isha

2 Answers

Beenu Mathew

ritu

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