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Jack and Jill are standing on a crate at rest on the frictionless horizontal surface of a frozen pond. Jack has mass 80.0 kg, Jill has mass 49.5 kg,...

Jack and Jill are standing on a crate at rest on the frictionless horizontal surface of a frozen pond. Jack has mass 80.0 kg, Jill has mass 49.5 kg, and the crate has mass 20.7 kg. They remember that they must go and fetch a pail of water, so each jumps horizontally from the top of the crate. Just after each jumps, that person is moving away from the crate with a speed of 4.04 m/s relative to the crate.
(a) What is the final speed of the crate if both Jack and Jill jump simultaneously and in the same direction? (Hint: Use an inertial coordinate system attached to the ground.)

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