A Ferris wheel has diameter of 10 m and makes one revolution in 8.0 seconds. A person weighing 670 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?

1082.8N

Explanation:

at the highest point,

Ft= Fc+Fw

Ft:total force or apparent weight

Fc: centripetal force

Fw: weight of person

Ft= mv²/r + Fw

v=ωr

v= 2πfr

v= 2π(1/8)10

v= 7.85m/s

Ft= mv²/r + Fw               m=Fw/g=670/10=67kg

Ft= (67)(7.85)²/10+670

Ft= 1082.8N

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