Answer:
ac = 72 m/s²
Fc = 504 N
Explanation:
We can find the centripetal acceleration of the hammer by using the following formula:
[tex]a_c = \frac{v^2}{r}[/tex]
where,
ac = centripetal acceleration = ?
v = constant speed = 12 m/s
r = radius = 2 m
Therefore,
[tex]a_c = \frac{(12\ m/s)^2}{2\ m}[/tex]
ac = 72 m/s²
Now, the centripetal force applied by the athlete on the hammer will be:
[tex]F_c = ma_c\\F_c = (7\ kg)(72\ m/s^2)[/tex]
Fc = 504 N