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Consider a system that consists of Earth, two bowling balls on a lab table, and an ideal spring which is held compressed between the bowling balls.

The bowling balls each have a mass of $10\text{ kg}$ and the lab table is $1\text{ m}$ 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 bowling balls were pushed together.

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

A

$1\text{ J}$

B

$101\text{ J}$

C

$200\text{ J}$

D

$201\text{ J}$

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