Abody of mass 8 kg moves in the xy-plane in a counterclockwise circular path of radius 7 meters centered at the origin, making one revolution every 5 seconds. at the time t=0, the body is at the rightmost point of the circle. a. compute the centripetal force acting on the body at time t.

Explanation:

The equation for centripetal force is given by Newton's 2nd Law:

The equation for centripetal acceleration is

If the object makes one revolution (an angle of ) every 5 seconds it means that its angular velocity is .

Putting all together, and for our values:

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