How much centripetal force is needed to keep a 0.24 kg ball on a 1.72 m string moving in a circular path with a speed of 3.0 m/s?

Question: How much centripetal force is needed to keep a 0.24 kg ball on a 1.72 m string moving in a circular path with a speed of 3.0 m/s?

Answer:

Given data:

Mass of the ball (m) = 0.24 kg, Length of the string (l) = 1.72 m, Speed of the ball (v) = 3 m/s

As per definition of the centripetal force, mathematically, Centripetal force can be written as,

$F_{c}=\frac{mv^{2}}{l}$

$F_{c}=\frac{0.24\times 3^{2}}{1.72}$

$F_{c}=1.256N$

Thus, the required centripetal force is 1.256 newton.

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