ProblemSet 7: Problem 2.Problem:A man and a woman are standing at opposite ends of a small boat, ready to take turnsdiving into the water. The mass of the boat isM, while that of the man and woman is35Mand25M,respectively. The boat is initially at rest. When each dives in opposite directions parallel to the boat’scenterline, his or her speed relative to the boat isV. Determine the velocity of the boat after both havedived under the following conditions.(a) The woman dives first, followed by the man.(b) The man dives first, followed by the woman.Solution:To solve, we observe that there are no external forces acting. This tells us that momentum isconserved when each person dives. We take care to write all velocities as absolute velocities. Also, wedefine thexaxis to lie on the horizontal.(a)At the moment when the woman dives, the boat is at rest. Since her speed relative to the boat isV,then her absolute velocity after she dives is−Vi. Lettingv1denote the velocity of the boat and the man(who hasn’t dived yet), momentum conservation tells us that
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