Answer:
The coin comes to rest after covering 1.023 m.
Explanation:
initial angular speed, wo = 18 rad/s
final angular speed, w = 0 rad/s
angular acceleration, = 1.9 rad/s2
radius, r = 1.2 cm = 0.012 m
initial linear velocity, u = r wo = 0.012 x 18 = 0.216 m/s
final linear speed, v = r w = 0.012 x 0 = 0 m/s
linear acceleration, a = r x angular acceleration = 0.012 x 1.9 = 0.0228 m/s2
let the distance traveled is s.
Use third equation of motion
[tex]v^{2} = u^{2} + 2 a s\\0 = 0.216^{2} - 2 \times 0.0228\times s\\s = 1.023 m[/tex]
