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AP EAMCET20225 Jul 2022Evening ShiftPhysicsWork, Power and EnergyActual

Consider a force F = Kx ^3 , which acts on a particle at rest. The work done by the force for displacement of 2 ~m is ( K =2 Nm ⁻³ )

Options

  1. A10 ~J
  2. B4 ~J
  3. C100 ~J
  4. D8 ~J

Correct answer

D. 8 ~J

Step-by-step solution

Work done = F dx = ₀^2 Kx ^3 dx =2 [ x ^4 4 ]₀^2= 2 4 [2^4-0^4 ]=8 ~J

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