A person stands on a bathroom scale in an elevator at rest on the ground floor o

Question

A person stands on a bathroom scale in an elevator at rest on the ground floor of a building. The scale then reads 836 N. As the elevator begins to move upward, the scale reading briefly increases to 935 N but then returns to 836 N. As the elevator reaches the 20th floor, the scale reading briefly drops to 782 N and then once again returns to 836 N once it has stopped. (a) determine the elevator's acceleration as its speed increases. (b) Determine the elevator's acceleration as its speed decreases.

Explanation / Answer

(a)F=ma F(due to gravity) = 836 Mg=836 M= 85.3 kg 99 N = ma A = 99/85.3 = 1.16 m/s2 as speed increases (b)836 – 782 = 54 F=ma=54 A=54/85.3 = -.633 m/s2 as speed decreases

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