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BITSAT2010PhysicsWork, Power and EnergyActual

The potential energy for a force field F is given by U(x, y)= (x+y) . The force acting on a particle at position given by coordinates (0, / 4) is -

Options

  1. A- 1 2 ( i + j )
  2. B1 2 ( i + j )
  3. C( 1 2 i + 3 2 j )
  4. D( 1 2 i - 3 2 j )

Correct answer

B. 1 2 ( i + j )

Step-by-step solution

F _ x =- U x = ( x + y ) array l F _ y =- U x = ( x + y ) . F _ x = ( x + y ) ]_ (0, / 4) = 1 2 . ~F _ y = ( x + y ) ]_ (0, / 4) = 1 2 F = 1 2 [ i + j ] array

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