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Concept of centripetal force on a curved road: What speed limit should be posted?

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On a highway curve with radium 50m, the maximum centripetal force that can act on a 1,000kg car going around the curve is 8,000 Newtons. What speed limit should be posted for the curve so that cars can navigate it safely?

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Solution Summary

This solution determines the speed limit that should be posted for the curve so that cars can navigate it safely.

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Because,
F = mv^2/r
m = 1000 kg
v = ?
r = 50 meter
F = 8000 ...

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