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23 Nov 2019

The figure below shows a worker poling a boat — a very efficientmode of transportation — across a shallow lake. He pushes parallelto the length of the light pole, exerting on the bottom of the lakea force of 220 N. The pole lies in the vertical plane containingthe keel of the boat. At one moment the pole makes an angle of35.0° with the vertical and the water exerts a horizontal dragforce of 46.5 N on the boat, opposite to its forward motion at0.857 m/s. The mass of the boat including its cargo and the workeris 370 kg.
(a) The water exerts a buoyant force vertically upward on the boat.Find the magnitude of this force.
N
(b) Model the forces as constant over a short interval of time tofind the velocity of the boat 0.450 s after the moment described.(Take the forward direction to be the +x direction and up to be the+y direction. Indicate the direction with the sign of youranswer.)
= m/s

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