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In the figure given below, two particles...

In the figure given below, two particles of masses m and 2m are fixed in place on an axis. Where on the axis can a third particle of mass 3m be placed (other than at infinity) so that the gravitational force on it from the first two particles is zero?

A

Between m and 2 m

B

Left of m

C

Right of 2m

D

The net gravitational force on 3m never be zero

Text Solution

Verified by Experts

The correct Answer is:
`A:B`
To the left on m and right of 2m, the force on 3m due to both particles will be in same direction so net force can’t be zero.
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Knowledge Check

  • The reduce mass of two particles having masses m and 2 m is

    A
    2 m
    B
    3 m
    C
    2 m/3
    D
    m/2

  • Two bodies of mass M and 4M kept at a distance y apart. Where should a small particle of mass m be placed from M so that the net gravitational force on it is zero

    A
    `(y)/(5)`
    B
    `(y)/(2)`
    C
    `(y)/(4)`
    D
    `(y)/(3)`

  • Two point masses m and 4 m are seperated by a distance d on a line . A third point mass m_(0) is to be placed at a point on the line such that the net gravitational force on it zero . The distance of that point from the m mass is

    A
    `d/2`
    B
    `d/4`
    C
    `d/3`
    D
    `d/5`

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