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In the figure the variation of potential energy of a particle of mass m = 2kg is represented w.r.t its x-coordinate. The particle moves under the effect of this conservative force along the x-axis. Which of the following statements is not correct about the particle ?

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$x = - 5$ and $x = + 5$ are unastable equilibrium positions of the particle.

If initially $x = - 10 and \vec{u} = \sqrt{6 \hat{i}}$ then it will cross x = 10

If it is released at the origin it will move in negative x-axis

If it is released at $x = 2 + △$ where $△ \to 0$ then its maximum speed will be 5 m/s and it will perform oscillatory motion.

answer is D.

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Detailed Solution

$In (c), E_{i} + K_{i} = 15 + 6 = 21 J$

$At x = 10, U_{f} = 20 \Rightarrow K_{f} = 1 \neq 0$

$\Rightarrow The particle crosses x = 10$

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