You are swinging a tin can around your head in a perfectly horizontal circle of radius 4 m. (This is really not possible but we're saying it almost happens.) If you exert a force of 9 N and the mass of the can is 1 kg, with what speed is the can moving around the circle? A) 6 m/s B) 36 m/s C) 36 m²/s² D) 1/6 m/s

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Quizplus · Accepted Answer

The force exerted to maintain circular motion is given by the centripetal force formula $F = \frac{mv^2}{r}$, where $F$ is the force, $m$ is the mass, $v$ is the velocity, and $r$ is the radius. Rearranging for $v$, we get $v = \sqrt{\frac{Fr}{m}}$. Substituting the given values, $v = \sqrt{\frac{9 \times 4}{1}} = \sqrt{36} = 6$ m/s.

You Are Swinging a Tin Can Around Your Head in a Perfectly