Question

With what minmum speed should `m` be projected from point `C` in presence of two fixed masses `M` each at `A` and `B` as shows in the figure such that mass `m` should escape the gravitational of `A` and `B` ?
A. `sqrt((2GM)/(R ))`
B. `sqrt((2sqrt(2)GM)/(R ))`
C. `2sqrt((GM)/(R ))`
D. `2sqrt(2)sqrt((GM)/(R ))`

Answer 1

Correct Answer - B
`K_(i) + U_(i) = K_(f) + U_(f)`
`:. (1)/(2) mnu^(2) - 2 (GMm)/(sqrt(2) R = 0 + 0`
`:. nu = sqrt((2sqrt(2) GM)/(R))`