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The force F acting on a particle of mass...

The force `F` acting on a particle of mass `m` is indicated by the force-time graph shown below. The change in momentum of the particle over time interval from zero to 8 `s` is.

A

`24Ns`

B

`20Ns`

C

`12Ns`

D

`6Ns`

Text Solution

Verified by Experts

The correct Answer is:
C
`F=(dp)/(dt)` implies `dp=F.dt` or `int_(pi)^(pf)dp=intF.dt`
Change in momentum=Area under the `F` versus `t` graph in that in interval
`=((1)/(2)xx2xx6)-(2xx3)+(4xx3)`
`=6-6+12Ns`
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Knowledge Check

  • The force F acting on a particle of mass m is indicated on the force-time graph shown. The change in the momentum of the particle over the time interval from zero to 8s is

    A
    24 Ns
    B
    20 Ns
    C
    12 Ns
    D
    6 Ns

  • The force-time ( F – t ) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 second will be

    A
    `-2` N-s
    B
    `+4` N-s
    C
    6 N-s
    D
    Zero

  • A particle of mass 2 kg is initially at rest. A force starts acting on it in one direction whose magnitude changes with time. The force-time graph is shown in the figure. Find the velocity of the particle at the end of 10 s.

    A
    `45 ms^(-1)`
    B
    `50 ms^(-1)`
    C
    `40 ms^(-1)`
    D
    `60 ms^(-1)`
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