Question: A low-friction track is set up with a spring on the right end. In the middle of the track, a (2.0-mathrm{kg}) cart moving to the

A low-friction track is set up with a spring on the right end. In the middle of the track, a $2.0-\mathrm{kg}$ cart moving to the right at $5.0 \mathrm{~m} / \mathrm{s}$ overtakes a $3.0-\mathrm{kg}$ cart moving to the right at $2.0 \mathrm{~m} / \mathrm{s}$. After the collision, the $2.0-\mathrm{kg}$ cart is moving at $1.7 \mathrm{~m} / \mathrm{s}$.

(a) What is the coefficient of restitution of the collision?

(b) How much energy is stored in the spring when it is at its maximum compression after the collision?

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