Question

Caleb is swinging Rachel in a circle with a centripetal force of 533 N. If the radius of the circle is 0.75 m and Rachel has a mass of 16.4 kg, how fast is Rachel moving? Round to the nearest tenth. m/s

Answer 1

4.9 m/s on Edgenuity

Step-by-step explanation:

Answer 2

Answer: 4.3 m/s

Step-by-step explanation:

The centripetal force is given by

`F=m(v^2)/(r)`

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:

`v=\sqrt{(Fr^2)/(m)}=\sqrt{((533 N)(0.75 m)^2)/(16.4 kg)}=4.3 m/s`