Home
Class 11
PHYSICS
A particle of mass m moving along a stra...

A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at `x_(0)sqrt((2F_(0)x_(0))/m)`, then velocity at `4x_(0)` is

A

`2sqrt((2F_(0)x_(0))/m)`

B

`2sqrt((F_(0)x_(0))/m)`

C

`sqrt((F_(0)x_(0))/m)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Increases in KE =work done
`1/2 mv_(2)^(2)-1/2 mx((2F_(0)x_(0))/m)`
`=1/2(2F_(0)+F_(0))3x_(0)`
`rArr v_(2)=sqrt((11F_(0)x_(0))/m)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The magnitude of force acting on a particle moving along x-axis varies with time (t) as shown in figure. If at t = 0 the velocity of particle is v_(0) , then its velocity at t=T_(0) will be

The variation of velocity of particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4th second is

Knowledge Check

  • A particle of mass 1kg moves from rest along a straight line due to acition of a force F which varies with the displacement x as shown in graph - ( Use (1)/(sqrt(2))=0.8 if needed )

    A
    maximum `K.E.` of particle is `25J`
    B
    Total work done by froce on particle up to `x=6m` is `-5J`
    C
    There will beno power delivered by the particle at `x=3,5.3` and `6m`
    D
    None of these

  • A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at x=0 , its velocity at x=12m is

    A
    `0(m)//(s)`
    B
    `20sqrt2(m)//(s)`
    C
    `20sqrt3(m)//(s)`
    D
    `40(m)//(s)`

  • A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at x = 0, its velocity at x = 12 m is

    A
    `0 m//s`
    B
    `40 m//s`
    C
    `20sqrt(2) m//s`
    D
    `20 m//s`

    • Similar Questions

    Explore conceptually related problems

    A particle of mass 1 kg is subjected to a force which varies with distance as shown. If it starts it s journey from rest at x=0. then its velocity at x=15 m is

    The variation of velocity of particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4th second is?

    A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at x = 0, its velocity at x = 12 m is

    A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. If it starts its journey from rest at x = 0, its velocity at x=12 m is

    The acceleration of a particle which moves along the positive x-axis varies with its position as shown in figure. If the velocity of the particle is 0.8 ms^(-1) at x = 0, then velocity of the particle at x = 1.4 m is (in ms^(-1)) .

    Home
    Profile