College

While on a luge run in the Olympics, a sled (mass = 157 kg) rounds a horizontal curve of radius 5.8 m with a speed of 18.5 m/s. Assuming there is no friction, what is the normal force exerted by the seat on the rider if he has a mass of 83 kg?

Answer :

The normal force is the centripetal force which is given by:

[tex]F=\frac{mv^2}{r}[/tex]

plugging the values given we have:

[tex]\begin{gathered} F=\frac{(157)(18.5)^2}{5.8} \\ F=9264.35 \end{gathered}[/tex]

Therefore, the normal force is 9264.35 N

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