A (1000-mathrm{kg}) car traveling with an (x) component of velocity of (+20 mathrm{~m} / mathrm{s}) collides head-on

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A \(1000-\mathrm{kg}\) car traveling with an \(x\) component of velocity of \(+20 \mathrm{~m} / \mathrm{s}\) collides head-on with a \(1500-\mathrm{kg}\) light truck traveling with an \(x\) component of velocity of \(-10 \mathrm{~m} / \mathrm{s}\).

(a) If \(10 \%\) of the system's kinetic energy is converted to internal energy during the collision, what are the final speeds of the car and truck?

(b) If the car had instead rear-ended the same truck moving with an \(x\) component of velocity of \(+10 \mathrm{~m} / \mathrm{s}\), how would your answer to part \(a\) change?

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