Calculate the drag force acting on a 105 kg (including the bicycle) cyclist moving at 10 m/s, 20 m/s, an at 30 m/s. Use a drag coefficient of 0.8, a frontal surface area of 1.0 m2 , and a density of 1.0 kg/m3.

40N

160N

360N

Explanation:

The drag force can be calculated using the formula below

FD = 0.5CPAV²

The drag coefficient = c = 0.8

The frontal density = p = 1.0kg

The frontal surface area = A = 1.0

The velocity v = 10m/s, 20m/s, 30m/s

When V = 10m/s

Fd = 0.5(0.8)(1)(1)(10)²

Fd = 40N

When V = 20m/s

FD = 0.5(0.8)(1)(1)(20)²

FD = 160N

When V = 30m/s

FD = 0.5(0.8)(1)(1)(30)²

FD = 360N

Thank you

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