1.35 m/s
Explanation:
The centripetal force on the ball is given by:
[tex]F=m\frac{v^2}{r}[/tex]
where
m=650 kg is the mass of the ball
v is the tangential speed
r=21 m is the length of the cable (which is the radius of the circular path of the ball)
F=56 N is the centripetal force
By re-arranging the equation, we can calculate the tangential speed of the ball:
[tex]v=\sqrt{\frac{Fr}{m}}=\sqrt{\frac{(56 N)(21 m)}{650 kg}}=1.35 m/s[/tex]
