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 183 lb . During the storm, the crewman finds a maximum reading of 230 lb and a minimum reading of 138 lb .A. Find the maximum upward acceleration experienced by the crewman

B. Find the maximum downward acceleration experienced by the crewman

Answer 1

Step-by-step explanation:

In calm water there is no acceleration so reading

R = mg = 183

m = 183 / 32

At maximum upward acceleration reading

R₁ = mg + ma

= 183 + (183 / 32 ) x a

230 = 183 + (183 / 32 ) x a

a = 8.22 ft /s²

B )

In case of downward acceleration , reading

R₂ = mg - ma

138 = 183 - (183/32) a

a = 7.87 m /s²