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Four point masses each of mass 'm' are p...

Four point masses each of mass 'm' are placed on the corner of square of side 'a' Calculate magnitude of gravitational force experienced each particle
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Text Solution

Verified by Experts

`F_(r) =` resultant force on each particle `=2F cos 45^(@) + F_(1)`
`=(2G.m^(2))/(a^(2)).(1)/(sqrt2)+(Gm^(2))/((sqrt(2a))2)= (G.m^(2))/(2a^(2))(2sqrt2+1)`
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Knowledge Check

  • Four particles each of mass m are placed at the vertices of a square of side l. the potential at the centre of square is

    A
    `-(sqrt(2)Gm^(2))/(l)(2-(1)/(sqrt(2)))`
    B
    `-(2Gm^(2))/(l)(2+(1)/(sqrt(2)))`
    C
    `-(sqrt(2)Gm^(2))/(l)(sqrt(2)-(1)/(sqrt(2)))`
    D
    `-(2Gm^(2))/(l)(sqrt(2)-(1)/(sqrt(2)))`

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