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Standard XIII

Physics

Work Done on & by the Object

v - t graph o...

Question

$v - t$ graph of a particle moving along x axis is shown in figure. Mass of the particle = 4 kg. Work done by all the forces acting on particle between $t = 3$ to $t = 6$ is

12 J

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24 J

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8 J

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32 J

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Solution

The correct option is B 24 J
By the equation of a line $y = m x + c$ ,
we get, $v = - 2 t + 8$
at $t = 3$ , $v = 2 m / s$ , $K E_{i} = 8 J$
at $t = 6$ , $v = - 4 m / s$ , $K E_{f} = 32 J$
$w = K E_{f} - K E_{i} = 24 J$

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v−t graph of a particle moving along x axis is shown in figure. Mass of the particle = 4 kg. Work done by all the forces acting on particle between t=3 to t=6 is

The correct option is B 24 JBy the equation of a line y=mx+c, we get, v=−2t+8 at t=3, v=2 m/s, KEi=8 J at t=6, v=−4 m/s, KEf=32 J w=KEf−KEi=24 J

$v - t$ graph of a particle moving along x axis is shown in figure. Mass of the particle = 4 kg. Work done by all the forces acting on particle between $t = 3$ to $t = 6$ is

The correct option is B 24 J
By the equation of a line $y = m x + c$ ,
we get, $v = - 2 t + 8$
at $t = 3$ , $v = 2 m / s$ , $K E_{i} = 8 J$
at $t = 6$ , $v = - 4 m / s$ , $K E_{f} = 32 J$
$w = K E_{f} - K E_{i} = 24 J$