A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=−kx+ax3. Here k and a are positive constants. For x≥0, the functional from of the potential energy U(x) of the particle is [IIT JEE 2002]

A particle which is constrained to move along the x-axis, is subjected

1.	A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)=−kx+ax3. Here k and a are positive constants. For x≥0, the functional from of the potential energy U(x) of the particle is [IIT JEE 2002]
Answer» A particle which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as $F (x) = - k x + a x^{3}$ . Here k and a are positive constants. For $x \geq 0$ , the functional from of the potential energy $U_{(x)}$ of the particle is [IIT JEE 2002]

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