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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

  • Mass m = 7 kg
  • Radius r = 4 m
  • Velocity v = 15m/s

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

  • [tex]m[/tex] is the mass
  • [tex]v[/tex] is the velocity
  • [tex]r[/tex] is the radius
  • [tex]F_c[/tex] is the centripetal force

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.

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