A motorcycle has a constant speed of 27.8 m/s as it passes over the top of a hill whose radius of curvature is 192 m. The mass of the motorcycle and driver is 323 kg. Find the magnitude of (a) the centripetal force and (b) the normal force that acts on the cycle.

Explanation:

Given that,

Speed of a motorcycle, v = 27.8 m/s

Radius of curvature of the path, r = 192 m

The mass of the motorcycle and driver is 323 kg, m = 323 kg

(a) The centripetal force acting on the motorcycle is given by :

The centripetal force is .

(b) The normal force acting on the cycle is given by :

Hence, this is the required solution.

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explanation:

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