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The position time graph of a body of mas...

The position time graph of a body of mass `2 kg` is as given in What is the impulse on the body at ` t = 0 ` s and `t = 4 s` ?
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Text Solution

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Here, ` m = 2 kg `
As is clear from position time graph in
At ` t = 0 , x = 0 ` body is at rest . Therefore impulse of body (at t=0)=0
From ` t = 0 ` to `t = 4 ` s position time graph of body is a st line with positive slope. The body moves with a unifrom velocity.
Beyoud ` t = 4 ` s position time graph is parallel to time axis Therefore, body comes to rest
Now initial vel of body ` (u) = tan theta = (3)/(4) m//s` final vel of body `(upsilon) = 0 `
`:.` Impulse (at t = 4 s) = Change in momentum ` = m (upsilon - u ) = 2 (0-(3)/(4)) = - (3)/(2) kg ms^(-1)` .
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The position-time graph of a body of mass 2 kg is as given in figure . What is the impulse on the body at t = 0 s and t = 4 s .

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Knowledge Check

  • The position-time graph of a particle of mass 0.1 kg is as shown in the figure. The impulse at t = 2 s is

    A
    `0.2 kg ms^(-1)`
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    `0.02 kg ms^(-1)`
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    0.2 kg m/s
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    `-0.4` kg m/s
  • Position time graph of a particle of mass 2 kg is shown in figrure. Total work done on the particle from t=0 to t=4s is

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    8 J
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    4 J
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    0 J
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    Can't be determined
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