167. A 2 kg object slides down a frictionless inclined surface and hits a spring at point B with speed $2\,\dfrac{\text{m}}{\text{s}}$. It passes point A and hits the spring at point B. If the maximum compression of the spring is x and the energy stored in the spring at that point is 10 joules, how many centimeters is x? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$ [Figure: An inclined plane with a 2 kg object sliding down. Point A is near the top, point B is where the object meets the spring. The spring is at the bottom. Height $h$ and horizontal distance $r_\circ\,\text{cm}$ are marked. The incline angle is $r_\circ^\circ$.] (1) $10$ (2) $20$ (3) $30$ (4) $40$
\textbf{167.} A 2 kg object slides down a frictionless inclined surface and hits a spring at point B with speed $2\,\dfrac{\text{m}}{\text{s}}$. It passes point A and hits the spring at point B. If the maximum compression of the spring is x and the energy stored in the spring at that point is 10 joules, how many centimeters is x? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
\textit{[Figure: An inclined plane with a 2 kg object sliding down. Point A is near the top, point B is where the object meets the spring. The spring is at the bottom. Height $h$ and horizontal distance $r_\circ\,\text{cm}$ are marked. The incline angle is $r_\circ^\circ$.]}
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(1) $10$
(2) $20$
(3) $30$
(4) $40$
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