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The last stage of a rocket is traveling at a speed of 17,000 mph (25,000 ft/sec)....

The last stage of a rocket is traveling at a speed of 17,000 mph (25,000 ft/sec). This last stage is made up of two parts which are clamped together, namely, a rocket case with a mass of m1 =20 slugs and a satellite with a mass of m2 =10 slugs. When the clamp is released, a compressed spring causes the two parts to separate with a relative speed of 3000 ft/sec. (a) What are the speeds of the two parts after they have separated? Assume that all velocities are along the same line. (b) Find the total kinetic energy of the two parts before and after they separate and account for the difference, if any.

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