Answer:
[tex]m=5kg[/tex]
Explanation:
According to the Newton's second law, in this case, the tension is equal to the mass multiplied by the centripetal acceleration, since is a circular motion.
[tex]T=ma_c[/tex]
The centripetal acceleration is given by:
[tex]a_c=\frac{v^2}{r}[/tex]
Here r is the radius of the circular motion, in this case is equal to the length of the string. Replacing and solving for m:
[tex]T=m\frac{v^2}{L}\\m=\frac{TL}{v^2}\\m=\frac{10N(2m)}{(2\frac{m}{s})^2}\\m=5kg[/tex]
