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/s2Part B
Find the magnitude of the maximum downward acceleration experienced by the crewman.
adown = m/s2Explanation / 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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