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With what minimum velocity v should a pa...

With what minimum velocity v should a particle be thrown horizontally from a height h above the surface of the earth of mass M so that it does not fall back on the earth ? Radius of earth is R ?

Text Solution

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`sqrt((2GMR)/((2R+h)(R+h)))`
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Knowledge Check

  • Gravitational potential at a height R from the surface of the earth will be [Take M = mass of the earth, R = radius of the earth]

    A
    `(-GM)/(2R)`
    B
    `(-GM)/(R )`
    C
    `(-GM)/(4R)`
    D
    `-GM`

  • Gravitational potential energy of body of mass m at a height of h above the surface of earth (M = mass of earth , R = radius of earth) is

    A
    `(GMm)/(h)`
    B
    `(GMm)/((R+h))`
    C
    `(-GM)/((R+h))`
    D
    `-(GMm)/((R+h))`

  • A man weighs 'W' on the surface of the earth and his weight at a height 'R' from surface of the earth is ( R is Radius of the earth )

    A
    `W/4`
    B
    `W/2`
    C
    `W`
    D
    `4W`

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