# Answer to Question #8959 in Mechanics | Relativity for Rajat

Question #8959
A body A of mass 1kg is placed at a distance of 2m from another of mass 10kg.At what distance from A another body of mass 5kg must be placed so that the net gravitational force on A is zero.
1
2012-05-22T12:15:59-0400
A body A of mass 1kg is placed at a distance of 2m from another of mass 10kg. At what distance from A another body of mass 5kg must be placed so that the net gravitational force on A is zero.

C(Mc=5kg)--------(Lac=?m)----------A(1kg)-----(Lab=2m)------B(Mb=10kg)

According to the Newton's gravity law:

Fab = G&middot;Ma&middot;Mb/Lab&sup2; = G&middot;1&middot;10/2&sup2; = 5G/2 N,

Fac = G&middot;Ma&middot;Mc/Lac&sup2; = G&middot;1&middot;5/Lac&sup2; = 5G/Lac&sup2; N.

Fab = Fac ==&gt; 5G/Lac&sup2; = 5G/2 ==&gt; Lac&sup2; = 2 ==&gt; Lac = &radic;2m.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!