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Consider a system that consists of two carts on a frictionless track and an ideal spring which is held compressed between them.

The carts each have a mass of $0.5\text{ kg}$ and the track is supported on a table $1\text{ m}$ above the ground. The spring constant of the spring is $200\text{ N/m}$ and it has been compressed $10\text{ cm}$ from its equilibrium length when the carts were pushed together.

Which of the following indicates how much potential energy the system has? (Note: use $g=10\text{ m/s}^2$)

A

$0\text{ J}$

B

$1\text{ J}$

C

$10\text{ J}$

D

$11\text{ J}$

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