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29 July, 06:12

Derive a relation between Universal Gravitational Constant (G) and Acceleration due to gravity (g) ?

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Answers (2)
  1. 29 July, 08:29
    0
    Suppose earth is a soid sphere which will attract the body towards its centre. So, acc. to law of gravitation force on the body will be,

    F=G*m1m2/R^2

    but we now that F=ma

    and here accleration (a) = accleration due to gravity (g), so

    force applied by earth on will also be mg

    replace above F in formula by mg and solve,

    F=G*mE*m/R^2 (here mE is mass of earth and m is mass of body)

    mg=G*mEm/R^2

    so,

    g = G*mE/R^2
  2. 29 July, 09:42
    0
    suppose earth is a soid sphere which will attract the body towards its centre. So, acc. to law of gravitation force on the body will be,

    F=G*m1m2/R^2

    but we now that F=ma

    and here accleration (a) = accleration due to gravity (g), so

    force applied by earth on will also be mg

    replace above F in formula by mg and solve,

    F=G*mE*m/R^2 (here mE is mass of earth and m is mass of body)

    mg=G*mEm/R^2

    so,

    g = G*mE/R^2
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