Answer:
The tension is:
[tex]T=125\: N[/tex]
Explanation:
We know that the centripetal force is:
[tex]F_{c}=ma_{c}[/tex]
And the tension will be equal to the centripetal force at this point, so we have:
[tex]T=F_{c}=ma_{c}[/tex]
a(c) is the centripetal acceleration.
[tex]T=F_{c}=m\frac{v^{2}}{R}[/tex]
v is the tangential speed (10 m/s)
R is the radius (1.6 m)
m is the mass of the ball (2 kg)
Therefore, the tension will be:
[tex]T=2\frac{10^{2}}{1.6}[/tex]
[tex]T=125\: N[/tex]
I hope it helps you!
