Astudent stands on a bathroom scale in an elevator at rest on the 64th floor of a building. the scale reads 849 n. as the elevator moves up, the scale reading increases to 934 n, then decreases back to 849 n. the acceleration of gravity is 9.8 m/s 2 . find the acceleration of the elevator. answer in units of m/s 2 .

Actual weight W = mg = 849 N
mass m = 849  / g = 86.54 kg
apparent weight m ( a+ g ) = 934 N
(a + g) = 934 / m = 10.79
from this acceleration a = 10.79 - g
= 10.79-9.8
= 0.9827 m / s^ 2

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day