You have an inertia of (52 mathrm{~kg}) and are standing at rest on an iced-over pond in

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You have an inertia of \(52 \mathrm{~kg}\) and are standing at rest on an iced-over pond in your skates. Suddenly, your \(60-\mathrm{kg}\) brother skates in from the right with a speed of \(5.0 \mathrm{~m} / \mathrm{s}\) and collides elastically with you.

(a) What is the siblings' relative speed after the collision?

(b) If your brother's final velocity is \(0.36 \mathrm{~m} / \mathrm{s}\) toward the left, what is your final velocity?

(c) Is your answer to part \(b\) consistent with your answer to part \(a\) ?

(d) What is the change in kinetic energy of the system of you and your brother?

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