A ball is whirled on the end of a string in a horizontal circle of radius R at a speed v. Complete the following statement: The centripetal acceleration of the ball can be increased by a factor of 8 by .

Explanation:

When an object moves in a circular path, centripetal force acts on it. The magnitude of centripetal acceleration is given by formula :

Here,

v is the speed of the ball in circular path

r is the radius of circular path

The centripetal acceleration is inversely proportional to the radius of the circular path. To increase the centripetal acceleration by a factor of 8, the radius must decrease by a factor of 8 keeping speed constant.

a straight line sloped

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