Question1a plate of mass m moves horizontally with speed v, Ask an Expert

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Question1

A plate of mass M moves horizontally with speed v on a frictionless table. A mass m is dropped vertically onto and it and soon comes to rest with respect to it. How much energy is necessary to bring the system back up to speed v? Explain intuitively your answer in M>>m limit.

Question2

Mary departs in her boat from Petoskey at 9:00am and travels due north at 8 mi/h. Robert leaves from his home on shore of Beaver Island, 26 mi at an angle of 30 degrees west of north of Petoskey at 10:00am and travels at a constant speed of 6 mi/h. In what direction must Robert be heading to intercept Mary and where and when will they meet?

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