Answer: 4.3 m/s
Explanation:
The centripetal force is given by
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the object
v is the speed
r is the radius of the circular trajectory
In this problem, we know:
- the centripetal force: F = 533 N
- the radius of the circle: r = 0.75 m
- the mass of the object (Rachel): m = 16.4 kg
Therefore, we can re-arrange the formula above to find the speed of Rachel:
[tex]v=\sqrt{\frac{Fr^2}{m}}=\sqrt{\frac{(533 N)(0.75 m)^2}{16.4 kg}}=4.3 m/s[/tex]
