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

A particle which is constrained to move along x−axis is subjected to

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

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

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