Answer:
We conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.
Explanation:
Given
To determine
We need to determine the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s.
We know a centripetal force acts on a body to keep it moving along a curved path.
We can determine the centripetal force using the formula
[tex]F_c=\frac{mv^2}{r}[/tex]
where
substitute m = 7, r = 4, and v = 15 in the formula
[tex]F_c=\frac{mv^2}{r}[/tex]
[tex]F_c=\frac{7\left(15\right)^2}{4}[/tex]
[tex]F_c=\frac{1575}{4}[/tex]
[tex]F_c=393.75[/tex] N
Therefore, we conclude that the centripetal force needed to keep a 7kg mass moving in a circle of 4 meters radius at 15m/s is 393.75 N.
