Acat dozes on a stationary merry-go-round, at a radius of 5.7 m from the center of the ride. then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 5.5 s. what is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?

area of focus

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s