An athlete swings a 4.00 kg ball horizontally on the end of a rope. the ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. (a) what is the tangential speed of the ball? m/s m/s2 m/s (b) what is its centripetal acceleration? (c) if the maximum tension the rope can withstand before breaking is 136 n, what is the maximum tangential speed the ball can have?

a)  Tangential speed = 3.57 m/s

b) Centripetal acceleration = 17.79 m/s²

c) Maximum tangential speed the ball can have = 5.41 m/s

Explanation:

a) Tangential speed, v = rω

   Radius, r = 0.86 m

   Angular speed, ω = 0.660 rev/s = 0.66 x 2 x π = 4.15 rad/s

  Tangential speed, v = rω = 0.86 x 4.15 = 3.57 m/s

b) Centripetal acceleration,

c) Maximum tension in horizontal circular motion

  Maximum tangential speed the ball can have = 5.41 m/s

there was no answer choices but i think its representative

carla slowed down in the beginning of her trip, stopped, and then sped up