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22. A roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 20.0 m with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.

Respuesta :

Answer:14 m/s

         

Explanation:

Given

Radius of loop=20 m

In this case, at top point acceleration due to gravity provides centripetal acceleration to roller coaster such that rider does not fall out while upside down.

[tex]g=a_c[/tex]

[tex]g=\frac{v^2}{r}[/tex]

[tex]v=\sqrt{gr}[/tex]

[tex]v=\sqrt{9.8\times 20}[/tex]

[tex]v=\sqrt{196}[/tex]

v=14 m/s

so roller coaster speed must be equal or greater than 14 m/s

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