Answer:
The maximum speed the stone can attain without breaking the string is 8.62 m/s .
Explanation:
Given :
Mass of stone , m = 0.7 kg .
Length of string , l = 0.8 m .
It is also given that the stone will break if its tension exceeds 65.0 N.
Now , we know tension in the rope due to rotation is equal to the centripetal acceleration .
Therefore , the maximum speed the stone can attain without breaking the string is less than or equal to 65 N .
So , [tex]\dfrac{mv^2}{r}=65[/tex]
Putting all value in above equation we get :
[tex]\dfrac{0.7\times v^2}{0.8}=65\\\\v= 8.62\ m/s[/tex]
Therefore , maximum speed the stone can attain without breaking the string is 8.62 m/s .
