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At the bow of a ship on a stormy sea, a crewman conducts an experiment by standi

ID: 779107 • Letter: A

Question

At the bow of a ship on a stormy sea, a crewman conducts an experiment by standing on a bathroom scale. In calm waters, the scale reads 176 lb . During the storm, the crewman finds a maximum reading of 225 lb and a minimum reading of 137 lb.

Part A

Find the magnitude of the maximum upward acceleration experienced by the crewman.

Part B

Find the magnitude of the maximum downward acceleration experienced by the crewman.

At the bow of a ship on a stormy sea, a crewman conducts an experiment by standing on a bathroom scale. In calm waters, the scale reads 176 lb . During the storm, the crewman finds a maximum reading of 225 lb and a minimum reading of 137 lb.

Part A

Find the magnitude of the maximum upward acceleration experienced by the crewman.

aup =   m/s2  

Part B

Find the magnitude of the maximum downward acceleration experienced by the crewman.

adown =   m/s2  

Explanation / Answer

Weight in calm water = 176 lbs = 79.83 N

Thus, mg = 19.83 where m = mass of person

m = 8.14

maximum weight = 225 lbs = 102.058 N

(g + aup)*m = 102.058

9.8+aup = 102.058/8.14

aup = 2.73 m/s^2

Minimum weight = 137 lbs = 62.14 N

9.8 - adown = 62.14/8.14

adown = 9.8 - 62.14/8.14

adown = 2.16 m/s^2

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