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QJEEM16Ph440c: JEE Main 2016 Physics - Class 11 JEEM16Ph440c Solution: Velocity-time graph for a body of mass 10 kg is shown in…

Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motion is :

JEE Main 2016 (Online) 10th April Morning Slot Physics - Work Power & Energy Question 103 English

Multiple Choice Options

  • A 12000 J
  • B −- 12000 J
  • C −- 4500 J
  • D −- 9300 J

Step-by-Step Verified Solution

JEE Main 2016 (Online) 10th April Morning Slot Physics - Work Power & Energy Question 103 English Explanation
Here u = 50 m/s , what t = 0

α\alpha   =   ΔvΔt{{\Delta v} \over {\Delta t}}   =   50−00−10{{50 - 0} \over {0 - 10}}   =   −- 5 m/s2

Speed of the body at t = 2 s

v   =   u + at

=  50 + ( −- 5) ×\times 2

=  40 m/s

From work energy theorem,

Δ\Delta w  =   12mv2−12mu2{1 \over 2}m{v^2} - {1 \over 2}m{u^2}

=   12{1 \over 2} m(v2 −- u2)

= 12{1 \over 2} ×\times 10 ×\times (402 −- 502)

=  5 ×\times ( −- 10)(90)

=   −- 4500 J

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