InterviewSolution
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InterviewSolution
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Three uniform spheres each having a mass M and radius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.A. `(Gm^(2))/(r^(2))`B. `(Gm^(2))/(4r^(2))`C. `sqrt(2)(Gm^(2))/(4r^(2))`D. `sqrt(3)(Gm^(2))/(4r^(2))` |
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Answer» Correct Answer - D The given system may be regarded as a system of three particles located at the three vertices of an equilateral triangle of side `2r`. Now, `F_(A)=F_(B)` `=(Gm^(2))/((2r)^(2))=(Gm^(2))/(4r^(2))` `F_(A)` and `F_(B)` are inclined to each at an angle of `60^(@)`. if `F` is the resultant of `F_(A)` and `F_(B)`, then `F=sqrt(3)xx(Gm^(2))/(4r^(2))` |
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