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According to Newton's law of gravitation...

According to Newton's law of gravitational, everybody in this universe attracts every other body with a force, which is directly proportional to the product of their masses and is inversely proportional to the square of the distance between their centres, i.e.,
`F prop (m_(1)m_(2))/(r^(2))` or `F = (Gm_(1)m_(2))/(r^(2))`
where `G` is universal gravitational constant `= 6.67 xx 10^(-11) Nm^(2) kg^(-2)`.
(i) What is the value of `G` on the surface of moon?
(ii) How is the gravitational force between two bodies affected when distance between them is halved?
(iii) What values of like do you learn from this law?

Text Solution

Verified by Experts

(i) On the surafce of moon, `G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)`. It is a universal constant.
(ii) As `F prop (1)/(r^(2))`, therefore, when `r` is halved, force becomes `4` times.
(iii) This law gives the massege of universal brotherhood. Our universe is like a global village. every person in this universe should be attracting every other person. As graviattional forces are never repulsive, therefore, there should be no place for hatred between any two people on the basis of cast, creed or any other factor. God wants us one another and live together in peace.
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Knowledge Check

  • The value of universal gravitational constant G = 6.67 xx 10^(-11) N m^(2) kg^(-2) . The value of G in units of g^(-1) cm (^(3)s^(-2) is

    A
    `6.67 xx 10^(-8)`
    B
    `6.67 xx 10^(-7)`
    C
    `6.67 xx 10^(-9)`
    D
    `6.67 xx 10^(10)`

  • The value of universal gravitational constant G=6.67xx10^(-11)Nm^(2)kg^(-2) . The value of G in units of g^(-1)cm^(3)s^(-2) is

    A
    `6.67xx10^(-8)`
    B
    `6.67xx10^(-7)`
    C
    `6.67xx10^(-9)`
    D
    `6.67xx10^(-10)`

  • According to Newton's Universal law of gravitation, the gravitational force between two bodies is

    A
    always attractive and depends on their masses.
    B
    depends on the distance between them.
    C
    does not depend on the medium between the bodies.
    D
    All of above.