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Force acting on a particle moving in the...

Force acting on a particle moving in the `x-y` plane is `vec F=(y^(2) hat i + x hat j) N, x` and `y` are in metre. As shown in fig. the particle moves from the origin `O` to point `A(6m,6m)`. The figure shows three paths, `OLA,OMA` and `OA` for the motion of the particle from `O` to `A`.

Work done for motion along path `OA` is nearly

A

`383 J`

B

`90 J`

C

`180 J`

D

`1811 J`

Text Solution

Verified by Experts

The correct Answer is:
B
Use `W = int vec F. vec S`.
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Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Now consider another situation. A force vecF=(4hati+3hatj)N acts on a particle of mass 2kg . The particle under the action of this force moves from the origin to a point A (4m, -8m) . Initial speed of the particle, i.e., its speed at the origin is 2sqrt6ms^-1 . Figure shows three paths for the motion of the particle from O to A. Speed of the particle at A will be nearly

Knowledge Check

  • Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Work done for motion along path OA is nearly

    A
    (a) `383J`
    B
    (b) `90J`
    C
    (c) `180J`
    D
    (d) None of these

  • Force acting on a particle moving in the x-y plane is vecF=(y^2hati+xhatj)N , x and y are in metre. As shown in figure, the particle moves from the origin O to point A (6m, 6m) . The figure shows three paths, OLA, OMA, and OA for the motion of the particle from O to A. Which of the following is correct?

    A
    (a) There is equal probability for the force being conservative or non-conservative.
    B
    (b) Conservative or non-conservative nature of force cannot be predicted on the basis of given information.
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    (d) The given force is conservative.

  • Force acting on a particle moving in the x-y plane is vec F=(y^(2) hat i + x hat j) N, x and y are in metre. As shown in fig. the particle moves from the origin O to point A(6m,6m) . The figure shows three paths, OLA,OMA and OA for the motion of the particle from O to A . Along which of the three paths is the work done maximum.

    A
    `OA`
    B
    `OMA`
    C
    `OLA`
    D
    work done has the same value for all the three paths

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