An 85-kg man sits on a calm lake in a 60-kg boat as shown. He is holding 5.0-kg

Question

An 85-kg man sits on a calm lake in a 60-kg boat as shown. He is holding 5.0-kg tackle box on his lap. The symmetrical boat has seats at each end, separated by 4.0 m and the empty seat is 2.0 m from the dock edge as shown. Which choice best represents the horizontal distance from the comer of the dock to the center of mass of the boatman-box system? Now the man stands up and walks to the seat at the other end of the boat, carrying the tackle box with him, and sits again. Which choice now best represents the horizontal distance form man to dock? The man now throws the tackle box toward the dock with a horizontal speed of 4.3 m/s relative to the dock. Which choice best represents the speed of the man and boat after the tackle box has been thrown

Explanation / Answer

10.) distance of center of mass

x = (m1r1 + m2r2 + m3r3) / (m1 + m2 + m3)

x = ((85*6) + (5*6) + (60*2)) / (85+60+5)

x = (510 + 30 + 120) / 150

x = 4.4 m

11.) distance of center of mass between man and dock is

x = ((85*2) + (5*2)) / (85+5)

x = 180/90

x = 2.0 m

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