Answer:
1.897 m/s
Explanation:
The tension T = 3N of the string is caused by the centripetal acceleration of the puck, which can be calculated as the following using Newton's 2nd law:
[tex]a_c = T / m = 3 / 0.5 = 6 m/s^2[/tex]
From the centripetal acceleration, the tangential speed of the puck can be calculated using the following formula
[tex]a_c = v^2/r[/tex]
[tex]v^2 = a_c r = 6*0.6 = 3.6[/tex]
[tex]v = \sqrt{3.6} = 1.897 m/s[/tex]