Answer:v=8.06 m/s
Explanation:
Given
mass of stone [tex]m=0.7 kg[/tex]
length of string [tex]L=0.7 m[/tex]
Maximum Tension [tex]T=65 N[/tex]
the string will not break if Centripetal Force is less than maximum tension
[tex]T=\frac{mv^2}{r}[/tex]
[tex]65=\frac{0.7\times v^2}{0.7}[/tex]
[tex]v^2=65[/tex]
[tex]v=\sqrt{65}[/tex]
[tex]v=8.06 m/s[/tex]