A runner with a mass of 78.6 kg, moving at a speed of 8.8 m/s, rounds a bend with a radius of 25 m. What is the centripetal force needed to keep this runner on the curve and what supplies this force?

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The centripetal force is required.

The centripetal force is 243.47 N.

m = Mass of runner = 78.6 kg

v = Velocity of runner = 8.8 m/s

r = Radius = 25 m

Centripetal force is given by

[tex]F_c=\dfrac{mv^2}{r}\\\Rightarrow F_c=\dfrac{78.6\times 8.8^2}{25}\\\Rightarrow F_c=243.47\ \text{N}[/tex]

The centripetal force is 243.47 N.

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